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The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations

Bibliographic reference Alwall, J. ; Frederix, R. ; Frixione, S. ; Hirschi, V. ; Maltoni, Fabio ; et. al. The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations . In: Journal of High Energy Physics (Print), Vol. 1407, no.--, p. 079 (2014)
Permanent URL http://hdl.handle.net/2078.1/154363
  1. Gross David J., Wilczek Frank, Ultraviolet Behavior of Non-Abelian Gauge Theories, 10.1103/physrevlett.30.1343
  2. Politzer H. David, Reliable Perturbative Results for Strong Interactions?, 10.1103/physrevlett.30.1346
  3. T. Appelquist and H. Georgi, e + e − annihilation in gauge theories of strong interactions, Phys. Rev. D 8 (1973) 4000 [ INSPIRE ].
  4. Sterman George, Weinberg Steven, Jets from Quantum Chromodynamics, 10.1103/physrevlett.39.1436
  5. Buras A.J., Floratos E.G., Ross D.A., Sachrajda C.T., Asymptotic freedom beyond the leading order, 10.1016/0550-3213(77)90375-3
  6. W.A. Bardeen, A.J. Buras, D.W. Duke and T. Muta, Deep inelastic scattering beyond the leading order in asymptotically free gauge theories, Phys. Rev. D 18 (1978) 3998 [ INSPIRE ].
  7. Altarelli G., Ellis R.K., Martinelli G., Leptoproduction and Drell-Yan processes beyond the leading approximation in chromodynamics, 10.1016/0550-3213(78)90067-6
  8. W. Celmaster and R.J. Gonsalves, Fourth order QCD contributions to the e + e − annihilation cross-section, Phys. Rev. D 21 (1980) 3112 [ INSPIRE ].
  9. Ellis R.K., Ross D.A., Terrano A.E., The perturbative calculation of jet structure in e+e− annihilation, 10.1016/0550-3213(81)90165-6
  10. Frixione S., Kunszt Z., Signer A., Three-jet cross sections to next-to-leading order, 10.1016/0550-3213(96)00110-1
  11. Catani S., Seymour M.H., A general algorithm for calculating jet cross sections in NLO QCD, 10.1016/s0550-3213(96)00589-5
  12. Frixione Stefano, A general approach to jet cross sections in QCD, 10.1016/s0550-3213(97)00574-9
  13. D.A. Kosower, Antenna factorization of gauge theory amplitudes, Phys. Rev. D 57 (1998) 5410 [ hep-ph/9710213 ] [ INSPIRE ].
  14. Campbell J.M., Cullen M.A., Glover E.W.N., Four jet event shapes in electron-positron annihilation, 10.1007/s100529900034
  15. Bern Zvi, Dixon Lance, Dunbar David C., Kosower David A., One-loop n-point gauge theory amplitudes, unitarity and collinear limits, 10.1016/0550-3213(94)90179-1
  16. F. del Aguila and R. Pittau, Recursive numerical calculus of one-loop tensor integrals, JHEP 07 (2004) 017 [ hep-ph/0404120 ] [ INSPIRE ].
  17. Z. Bern, L.J. Dixon and D.A. Kosower, Bootstrapping multi-parton loop amplitudes in QCD, Phys. Rev. D 73 (2006) 065013 [ hep-ph/0507005 ] [ INSPIRE ].
  18. Ossola Giovanni, Papadopoulos Costas G., Pittau Roberto, Reducing full one-loop amplitudes to scalar integrals at the integrand level, 10.1016/j.nuclphysb.2006.11.012
  19. Anastasiou Charalampos, Britto Ruth, Feng Bo, Kunszt Zoltan, Mastrolia Pierpaolo, d-dimensional unitarity cut method, 10.1016/j.physletb.2006.12.022
  20. Anastasiou Charalampos, Britto Ruth, Feng Bo, Kunszt Zoltan, Mastrolia Pierpaolo, Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes, 10.1088/1126-6708/2007/03/111
  21. Ellis R.K, Giele W.T, Kunszt Z, A numerical unitarity formalism for evaluating one-loop amplitudes, 10.1088/1126-6708/2008/03/003
  22. Ellis R. Keith, Giele Walter T., Kunszt Zoltan, Melnikov Kirill, Masses, fermions and generalized D-dimensional unitarity, 10.1016/j.nuclphysb.2009.07.023
  23. Giele Walter T, Kunszt Zoltan, Melnikov Kirill, Full one-loop amplitudes from tree amplitudes, 10.1088/1126-6708/2008/04/049
  24. Cascioli F., Maierhöfer P., Pozzorini S., Scattering Amplitudes with Open Loops, 10.1103/physrevlett.108.111601
  25. Mastrolia Pierpaolo, Mirabella Edoardo, Peraro Tiziano, Integrand reduction of one-loop scattering amplitudes through Laurent series expansion, 10.1007/jhep06(2012)095
  26. Frixione Stefano, Webber Bryan R, Matching NLO QCD computations and parton shower simulations, 10.1088/1126-6708/2002/06/029
  27. Nason Paolo, A New Method for Combining NLO QCD with Shower Monte Carlo Algorithms, 10.1088/1126-6708/2004/11/040
  28. M. Dobbs, Incorporating next-to-leading order matrix elements for hadronic diboson production in showering event generators, Phys. Rev. D 64 (2001) 034016 [ hep-ph/0103174 ] [ INSPIRE ].
  29. Chen Yujun, Collins John, Zu Xiaomin, NLO corrections in MC event generator for angular distribution of Drell-Yan lepton pair production, 10.1088/1126-6708/2002/04/041
  30. Kurihara Y., Fujimoto J., Ishikawa T., Kato K., Kawabata S., Munehisa T., Tanaka H., QCD event generators with next-to-leading order matrix-elements and parton showers, 10.1016/s0550-3213(03)00057-9
  31. Nagy Zoltán, Soper Davison E, Matching parton showers to NLO computations, 10.1088/1126-6708/2005/10/024
  32. C.W. Bauer and M.D. Schwartz, Event generation from effective field theory, Phys. Rev. D 76 (2007) 074004 [ hep-ph/0607296 ] [ INSPIRE ].
  33. Nagy Zoltán, Soper Davison E, Parton showers with quantum interference, 10.1088/1126-6708/2007/09/114
  34. W.T. Giele, D.A. Kosower and P.Z. Skands, A simple shower and matching algorithm, Phys. Rev. D 78 (2008) 014026 [ arXiv:0707.3652 ] [ INSPIRE ].
  35. Bauer Christian W, Tackmann Frank J, Thaler Jesse, GenEvA (I): a new framework for event generation, 10.1088/1126-6708/2008/12/010
  36. Höche Stefan, Krauss Frank, Schönherr Marek, Siegert Frank, A critical appraisal of NLO+PS matching methods, 10.1007/jhep09(2012)049
  37. Hamilton Keith, Nason Paolo, Re Emanuele, Zanderighi Giulia, NNLOPS simulation of Higgs boson production, 10.1007/jhep10(2013)222
  38. Alwall Johan, Herquet Michel, Maltoni Fabio, Mattelaer Olivier, Stelzer Tim, MadGraph 5: going beyond, 10.1007/jhep06(2011)128
  39. Stelzer T., Long W.F., Automatic generation of tree level helicity amplitudes, 10.1016/0010-4655(94)90084-1
  40. Caravaglios Francesco, Moretti Mauro, An algorithm to compute Born scattering amplitudes without Feynman graphs, 10.1016/0370-2693(95)00971-m
  41. Yuasa F., Fujimoto J., Ishikawa T., Jimbo M., Kaneko T., Kato K., Kawabata S., Kon T., Kurihara Y., Kuroda M., Nakazawa N., Shimizu Y., Tanaka H., Automatic Computation of Cross Sections in HEP : Status of GRACE System, 10.1143/ptps.138.18
  42. Kanaki Aggeliki, Papadopoulos Costas G., HELAC: A package to compute electroweak helicity amplitudes, 10.1016/s0010-4655(00)00151-x
  43. M. Moretti, T. Ohl and J. Reuter, O’Mega: an optimizing matrix element generator, hep-ph/0102195 [ INSPIRE ].
  44. Krauss Frank, Kuhn Ralf, Soff Gerhard, AMEGIC++ 1.0, A Matrix Element Generator In C++, 10.1088/1126-6708/2002/02/044
  45. Mangano Michelangelo L, Piccinini Fulvio, Polosa Antonio D, Moretti Mauro, Pittau Roberto, ALPGEN, a generator for hard multiparton processes in hadronic collisions, 10.1088/1126-6708/2003/07/001
  46. Fujimoto J., Ishikawa T., Jimbo M., Kaneko T., Kato K., Kawabata S., Kon T., Kuroda M., Kurihara Y., Shimizu Y., Tanaka H., GRACE/SUSY: Automatic generation of tree amplitudes in the minimal supersymmetric standard model, 10.1016/s0010-4655(03)00159-0
  47. Boos E., Bunichev V., Dubinin M., Dudko L., Edneral V., Ilyin V., Kryukov A., Savrin V., Semenov A., Sherstnev A., CompHEP 4.4—automatic computations from Lagrangians to events, 10.1016/j.nima.2004.07.096
  48. Tsuno S., Kaneko T., Kurihara Y., Odaka S., Kato K., GR@PPA 2.7 event generator for collisions, 10.1016/j.cpc.2006.07.011
  49. Cafarella Alessandro, Papadopoulos Costas G., Worek Malgorzata, Helac-Phegas: A generator for all parton level processes, 10.1016/j.cpc.2009.04.023
  50. Kilian Wolfgang, Ohl Thorsten, Reuter Jürgen, WHIZARD—simulating multi-particle processes at LHC and ILC, 10.1140/epjc/s10052-011-1742-y
  51. Alwall Johan, Demin Pavel, Visscher Simon de, Frederix Rikkert, Herquet Michel, Maltoni Fabio, Plehn Tilman, Rainwater David L, Stelzer Tim, MadGraph/MadEvent v4: the new web generation, 10.1088/1126-6708/2007/09/028
  52. Gleisberg Tanju, Höche Stefan, Comix, a new matrix element generator, 10.1088/1126-6708/2008/12/039
  53. Belyaev Alexander, Christensen Neil D., Pukhov Alexander, CalcHEP 3.4 for collider physics within and beyond the Standard Model, 10.1016/j.cpc.2013.01.014
  54. Hahn T., Pérez-Victoria M., Automated one-loop calculations in four and D dimensions, 10.1016/s0010-4655(98)00173-8
  55. Hahn Thomas, Generating Feynman diagrams and amplitudes with FeynArts 3, 10.1016/s0010-4655(01)00290-9
  56. Gleisberg T., Krauss F., Automating dipole subtraction for QCD NLO calculations, 10.1140/epjc/s10052-007-0495-0
  57. C.F. Berger et al., An automated implementation of on-shell methods for one-loop amplitudes, Phys. Rev. D 78 (2008) 036003 [ arXiv:0803.4180 ] [ INSPIRE ].
  58. Frederix R, Gehrmann T, Greiner N, MadDipole: automation of the dipole subtraction method in MadGraph/MadEvent, 10.1088/1126-6708/2008/09/122
  59. Giele W.T, Zanderighi G, On the numerical evaluation of one-loop amplitudes: the gluonic case, 10.1088/1126-6708/2008/06/038
  60. Czakon M, Papadopoulos C.G, Worek M, Polarizing the dipoles, 10.1088/1126-6708/2009/08/085
  61. Frederix Rikkert, Frixione Stefano, Maltoni Fabio, Stelzer Tim, Automation of next-to-leading order computations in QCD: the FKS subtraction, 10.1088/1126-6708/2009/10/003
  62. Hasegawa K., Moch S., Uwer P., AutoDipole – Automated generation of dipole subtraction terms –, 10.1016/j.cpc.2010.06.044
  63. Höche Stefan, Krauss Frank, Schönherr Marek, Siegert Frank, Automating the Powheg method in Sherpa, 10.1007/jhep04(2011)024
  64. Alioli Simone, Nason Paolo, Oleari Carlo, Re Emanuele, A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX, 10.1007/jhep06(2010)043
  65. Mastrolia P., Ossola G., Reiter T., Tramontano F., Scattering amplitudes from unitarity-based reduction algorithm at the integrand-level, 10.1007/jhep08(2010)080
  66. Frederix R., Gehrmann T., Greiner N., Integrated dipoles with MadDipole in the MadGraph framework, 10.1007/jhep06(2010)086
  67. Becker Sebastian, Reuschle Christian, Weinzierl Stefan, Numerical NLO QCD calculations, 10.1007/jhep12(2010)013
  68. Hirschi Valentin, Frederix Rikkert, Frixione Stefano, Vittoria Garzelli Maria, Maltoni Fabio, Pittau Roberto, Automation of one-loop QCD computations, 10.1007/jhep05(2011)044
  69. Bevilacqua G., Czakon M., Garzelli M.V., van Hameren A., Kardos A., Papadopoulos C.G., Pittau R., Worek M., HELAC-NLO, 10.1016/j.cpc.2012.10.033
  70. Becker Sebastian, Götz Daniel, Reuschle Christian, Schwan Christopher, Weinzierl Stefan, Next-to-Leading-Order Results for Five, Six, and Seven Jets in Electron-Positron Annihilation, 10.1103/physrevlett.108.032005
  71. Cullen Gavin, Greiner Nicolas, Heinrich Gudrun, Luisoni Gionata, Mastrolia Pierpaolo, Ossola Giovanni, Reiter Thomas, Tramontano Francesco, Automated one-loop calculations with GoSam, 10.1140/epjc/s10052-012-1889-1
  72. T. Binoth et al., Automized squark-neutralino production to next-to-leading order, Phys. Rev. D 84 (2011) 075005 [ arXiv:1108.1250 ] [ INSPIRE ].
  73. Agrawal S, Hahn T, Mirabella E, FormCalc 7, 10.1088/1742-6596/368/1/012054
  74. Bern Z., Diana G., Dixon L. J., Cordero F. Febres, Höche S., Kosower D. A., Ita H., Maître D., Ozeren K., Four-Jet Production at the Large Hadron Collider at Next-to-Leading Order in QCD, 10.1103/physrevlett.109.042001
  75. Actis S., Denner A., Hofer L., Scharf A., Uccirati S., Recursive generation of one-loop amplitudes in the Standard Model, 10.1007/jhep04(2013)037
  76. Badger Simon, Biedermann Benedikt, Uwer Peter, Yundin Valery, Numerical evaluation of virtual corrections to multi-jet production in massless QCD, 10.1016/j.cpc.2013.03.018
  77. D. Goncalves-Netto, D. Lopez-Val, K. Mawatari, T. Plehn and I. Wigmore, Automated squark and gluino production to next-to-leading order, Phys. Rev. D 87 (2013) 014002 [ arXiv:1211.0286 ] [ INSPIRE ].
  78. Badger S, Biedermann B, Uwer P, Yundin V, Computation of multi-leg amplitudes with NJET, 10.1088/1742-6596/523/1/012057
  79. Bern Z, Dixon L J, Cordero F Febres, Höche S, Ita H, Kosower D A, Maître D, Ozeren K J, The BlackHat Library for One-Loop Amplitudes, 10.1088/1742-6596/523/1/012051
  80. G. Cullen et al., GoSam-2.0: a tool for automated one-loop calculations within the standard model and beyond, arXiv:1404.7096 [ INSPIRE ].
  81. van Deurzen Hans, Luisoni Gionata, Mastrolia Pierpaolo, Mirabella Edoardo, Ossola Giovanni, Peraro Tiziano, Multi-leg one-loop massive amplitudes from integrand reduction via Laurent expansion, 10.1007/jhep03(2014)115
  82. T. Peraro, Ninja: automated integrand reduction via Laurent expansion for one-loop amplitudes, arXiv:1403.1229 [ INSPIRE ].
  83. E. Byckling and K. Kajantie, Particle kinematics, Wiley, U.S.A. (1971).
  84. Christensen Neil D., Duhr Claude, FeynRules – Feynman rules made easy, 10.1016/j.cpc.2009.02.018
  85. Christensen Neil, de Aquino Priscila, Degrande Celine, Duhr Claude, Fuks Benjamin, Herquet Michel, Maltoni Fabio, Schumann Steffen, A comprehensive approach to new physics simulations, 10.1140/epjc/s10052-011-1541-5
  86. Christensen Neil D., Duhr Claude, Fuks Benjamin, Reuter Jürgen, Speckner Christian, Introducing an interface between FeynRules and WHIZARD, 10.1140/epjc/s10052-012-1990-5
  87. Duhr Claude, Fuks Benjamin, A superspace module for the FeynRules package, 10.1016/j.cpc.2011.06.009
  88. Alloul Adam, Christensen Neil D., Degrande Céline, Duhr Claude, Fuks Benjamin, FeynRules  2.0 — A complete toolbox for tree-level phenomenology, 10.1016/j.cpc.2014.04.012
  89. Alloul Adam, D’Hondt Jorgen, De Causmaecker Karen, Fuks Benjamin, Rausch de Traubenberg Michel, Automated mass spectrum generation for new physics, 10.1140/epjc/s10052-013-2325-x
  90. C. Degrande, Automated computation of the R 2 rational terms and ultraviolet counterterms by NLOCT: an illustration on the 2HDM, in preparation.
  91. H. Murayama, I. Watanabe and K. Hagiwara, HELAS: helicity amplitude subroutines for Feynman diagram evaluations, KEK-91-11, Japan (1992) [ INSPIRE ].
  92. de Aquino Priscila, Link William, Maltoni Fabio, Mattelaer Olivier, Stelzer Tim, ALOHA: Automatic libraries of helicity amplitudes for Feynman diagram computations, 10.1016/j.cpc.2012.05.004
  93. Degrande Céline, Duhr Claude, Fuks Benjamin, Grellscheid David, Mattelaer Olivier, Reiter Thomas, UFO – The Universal FeynRules Output, 10.1016/j.cpc.2012.01.022
  94. Alwall J., Ballestrero A., Bartalini P., Belov S., Boos E., Buckley A., Butterworth J.M., Dudko L., Frixione S., Garren L., Gieseke S., Gusev A., Hinchliffe I., Huston J., Kersevan B., Krauss F., Lavesson N., Lönnblad L., Maina E., Maltoni F., Mangano M.L., Moortgat F., Mrenna S., Papadopoulos C.G., Pittau R., Richardson P., Seymour M.H., Sherstnev A., Sjöstrand T., Skands P., Slabospitsky S.R., Wa̧s Z., Webber B.R., Worek M., Zeppenfeld D., A standard format for Les Houches Event Files, 10.1016/j.cpc.2006.11.010
  95. J.M. Butterworth et al., The tools and Monte Carlo working group summary report, arXiv:1003.1643 [ INSPIRE ].
  96. Argyres Ernestos N., Beenakker Wim, van Oldenborgh Geert Jan, Denner Ansgar, Dittmaier Stefan, Hoogland Jiri, Kleiss Ronald, Papadopoulos Costas G., Passarino Giampiero, Stable calculations for unstable particles: restoring gauge invariance, 10.1016/0370-2693(95)01002-8
  97. Beenakker Wim, Van Oldenborgh Geert Jan, Denner Ansgar, Dittmaier Stefan, Hoogland Jiri, Kleiss Ronald, Papadopoulos Costas G., Passarino Giampiero, The fermion-loop scheme for finite-width effects in e+et- annihilation into four fermions, 10.1016/s0550-3213(97)00316-7
  98. Passarino Giampiero, Unstable particles and non-conserved currents: a generalization of the Fermion-Loop scheme, 10.1016/s0550-3213(00)00010-9
  99. Beenakker W., Berends F.A., Chapovsky A.P., An effective Lagrangian approach for unstable particles, 10.1016/s0550-3213(00)00030-4
  100. Beenakker W., Chapovsky A.P., Kanaki A., Papadopoulos C.G., Pittau R., Towards an effective-action approach to fermion-loop corrections, 10.1016/s0550-3213(03)00545-5
  101. Beneke M., Chapovsky A. P., Signer A., Zanderighi G., Effective Theory Approach to Unstable Particle Production, 10.1103/physrevlett.93.011602
  102. Denner A., Dittmaier S., Roth M., Wackeroth D., Predictions for all processes e+e− → fermions + γ, 10.1016/s0550-3213(99)00437-x
  103. A. Denner, S. Dittmaier, M. Roth and L.H. Wieders, Electroweak corrections to charged-current e + e − → 4 fermion processes: technical details and further results, Nucl. Phys. B 724 (2005) 247 [Erratum ibid. B 854 (2012) 504] [ hep-ph/0505042 ] [ INSPIRE ].
  104. Staub Florian, SARAH 3.2: Dirac gauginos, UFO output, and more, 10.1016/j.cpc.2013.02.019
  105. Christensen N. D., de Aquino P., Deutschmann N., Duhr C., Fuks B., Garcia-Cely C., Mattelaer O., Mawatari K., Oexl B., Takaesu Y., Simulating spin- $\frac{3}{2}$ particles at colliders, 10.1140/epjc/s10052-013-2580-x
  106. J. Alwall et al., Computing decay rates for new physics theories with FeynRules and MadGraph5/aMC@NLO, arXiv:1402.1178 [ INSPIRE ].
  107. Berends F.A., Kleiss R., De Causmaecker P., Gastmans R., Wu Tai Tsun, Single bremsstrahlung processes in gauge theories, 10.1016/0370-2693(81)90685-7
  108. De Causmaecker P., Gastmans R., Troost W., Wu Tai Tsun, Multiple bremsstrahlung in gauge theories at high energies (I). General formalism for quantum electrodynamics, 10.1016/0550-3213(82)90488-6
  109. Kleiss R., Stirling W.J., Spinor techniques for calculating, 10.1016/0550-3213(85)90285-8
  110. R. Gastmans and T. Wu, The ubiquitous photon: helicity method for QED and QCD, Int. Ser. Monogr. Phys. 80 (1990) 1 [ INSPIRE ].
  111. Xu Zhan, Zhang Da-Hua, Chang Lee, Helicity amplitudes for multiple bremsstrahlung in massless non-abelian gauge theories, 10.1016/0550-3213(87)90479-2
  112. Gunion J.F., Kunszt Z., Improved analytic techniques for tree graph calculations and the subprocess, 10.1016/0370-2693(85)90774-9
  113. Hagiwara K., Zeppenfeld D., Helicity amplitudes for heavy lepton production in e+e− annihilation, 10.1016/0550-3213(86)90615-2
  114. Mangano Michelangelo L., Parke Stephen J., Multi-parton amplitudes in gauge theories, 10.1016/0370-1573(91)90091-y
  115. Del Duca Vittorio, Dixon Lance, Maltoni Fabio, New color decompositions for gauge amplitudes at tree and loop level, 10.1016/s0550-3213(99)00809-3
  116. Maltoni F., Paul K., Stelzer T., Willenbrock S., Color-flow decomposition of QCD amplitudes, 10.1103/physrevd.67.014026
  117. Duhr Claude, Höche Stefan, Maltoni Fabio, Color-dressed recursive relations for multi-parton amplitudes, 10.1088/1126-6708/2006/08/062
  118. Hagiwara K., Kanzaki J., Li Q., Mawatari K., HELAS and MadGraph/MadEvent with spin-2 particles, 10.1140/epjc/s10052-008-0663-x
  119. Hagiwara K., Kanzaki J., Okamura N., Rainwater D., Stelzer T., Fast calculation of HELAS amplitudes using graphics processing unit (GPU), 10.1140/epjc/s10052-010-1276-8
  120. Hagiwara K., Kanzaki J., Okamura N., Rainwater D., Stelzer T., Calculation of HELAS amplitudes for QCD processes using graphics processing unit (GPU), 10.1140/epjc/s10052-010-1465-5
  121. Bähr Manuel, Gieseke Stefan, Gigg Martyn A., Grellscheid David, Hamilton Keith, Latunde-Dada Oluseyi, Plätzer Simon, Richardson Peter, Seymour Michael H., Sherstnev Alexander, Webber Bryan R., Herwig++ physics and manual, 10.1140/epjc/s10052-008-0798-9
  122. J. Bellm et al., HERWIG++ 2.7 release note, arXiv:1310.6877 [ INSPIRE ].
  123. Sjöstrand Torbjörn, Mrenna Stephen, Skands Peter, A brief introduction to PYTHIA 8.1, 10.1016/j.cpc.2008.01.036
  124. Arkani–Hamed Nima, Dimopoulos Savas, Dvali Gia, The hierarchy problem and new dimensions at a millimeter, 10.1016/s0370-2693(98)00466-3
  125. Frederix Rikkert, Frixione Stefano, Hirschi Valentin, Maltoni Fabio, Pittau Roberto, Torrielli Paolo, Four-lepton production at hadron colliders: aMC@NLO predictions with theoretical uncertainties, 10.1007/jhep02(2012)099
  126. J. Alwall, Q. Li and F. Maltoni, Matched predictions for Higgs production via heavy-quark loops in the SM and beyond, Phys. Rev. D 85 (2012) 014031 [ arXiv:1110.1728 ] [ INSPIRE ].
  127. Frederix R., Frixione S., Hirschi V., Maltoni F., Mattelaer O., Torrielli P., Vryonidou E., Zaro M., Higgs pair production at the LHC with NLO and parton-shower effects, 10.1016/j.physletb.2014.03.026
  128. Kondo Kunitaka, Dynamical Likelihood Method for Reconstruction of Events with Missing Momentum. I. Method and Toy Models, 10.1143/jpsj.57.4126
  129. R.H. Dalitz and G.R. Goldstein, The decay and polarization properties of the top quark, Phys. Rev. D 45 (1992) 1531 [ INSPIRE ].
  130. Kondo Kunitaka, Dynamical Likelihood Method and Top Quark Mass Measurement at CDF, 10.1088/1742-6596/53/1/009
  131. Y. Gao et al., Spin determination of single-produced resonances at hadron colliders, Phys. Rev. D 81 (2010) 075022 [ arXiv:1001.3396 ] [ INSPIRE ].
  132. P. Avery et al., Precision studies of the Higgs boson decay channel H → ZZ → 4ℓ with MEKD, Phys. Rev. D 87 (2013) 055006 [ arXiv:1210.0896 ] [ INSPIRE ].
  133. Campbell John M., Giele Walter T., Williams Ciaran, The matrix element method at next-to-leading order, 10.1007/jhep11(2012)043
  134. Gainer James S., Lykken Joseph, Matchev Konstantin T., Mrenna Stephen, Park Myeonghun, Spherical Parametrization of the Higgs Boson Candidate, 10.1103/physrevlett.111.041801
  135. T. Plehn, P. Schichtel and D. Wiegand, MadMax, or where boosted significances come from, arXiv:1311.2591 [ INSPIRE ].
  136. Artoisenet Pierre, Lemaître Vincent, Maltoni Fabio, Mattelaer Olivier, Automation of the matrix element reweighting method, 10.1007/jhep12(2010)068
  137. P. Artoisenet and O. Mattelaer, MadWeight5.0, in preparation.
  138. J. Alwall, A. Freitas and O. Mattelaer, The matrix element method and QCD radiation, Phys. Rev. D 83 (2011) 074010 [ arXiv:1010.2263 ] [ INSPIRE ].
  139. Artoisenet Pierre, de Aquino Priscila, Maltoni Fabio, Mattelaer Olivier, Unravellingtt¯hvia the Matrix Element Method, 10.1103/physrevlett.111.091802
  140. Gleisberg T, Hoeche S, Krauss F, Schaelicke A, Schumann S, Winter J, SHERPA 1. , a proof-of-concept version, 10.1088/1126-6708/2004/02/056
  141. Sjöstrand Torbjörn, Mrenna Stephen, Skands Peter, PYTHIA 6.4 physics and manual, 10.1088/1126-6708/2006/05/026
  142. Corcella Gennaro, Knowles Ian G, Marchesini Giuseppe, Moretti Stefano, Odagiri Kosuke, Richardson Peter, Seymour Michael H, Webber Bryan R, HERWIG 6: an event generator for hadron emission reactions with interfering gluons (including supersymmetric processes), 10.1088/1126-6708/2001/01/010
  143. G. Corcella et al., HERWIG 6.5 release note, hep-ph/0210213 [ INSPIRE ].
  144. Catani S., Dokshitzer Yu.L., Seymour M.H., Webber B.R., Longitudinally-invariant k⊥-clustering algorithms for hadron-hadron collisions, 10.1016/0550-3213(93)90166-m
  145. Lönnblad Leif, Correcting the Colour-Dipole Cascade Model with Fixed Order Matrix Elements, 10.1088/1126-6708/2002/05/046
  146. Lönnblad Leif, Prestel Stefan, Matching tree-level matrix elements with interleaved showers, 10.1007/jhep03(2012)019
  147. Lönnblad Leif, Prestel Stefan, Unitarising matrix element + parton shower merging, 10.1007/jhep02(2013)094
  148. Alwall J., Höche S., Krauss F., Lavesson N., Lönnblad L., Maltoni F., Mangano M.L., Moretti M., Papadopoulos C.G., Piccinini F., Schumann S., Treccani M., Winter J., Worek M., Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions, 10.1140/epjc/s10052-007-0490-5
  149. Alwall Johan, Visscher Simon de, Maltoni Fabio, QCD radiation in the production of heavy colored particles at the LHC, 10.1088/1126-6708/2009/02/017
  150. de Aquino P., Maltoni F., Mawatari K., Oexl B., Light gravitino production in association with gluinos at the LHC, 10.1007/jhep10(2012)008
  151. Artoisenet P., de Aquino P., Demartin F., Frederix R., Frixione S., Maltoni F., Mandal M. K., Mathews P., Mawatari K., Ravindran V., Seth S., Torrielli P., Zaro M., A framework for Higgs characterisation, 10.1007/jhep11(2013)043
  152. F. Maltoni and T. Stelzer, MadEvent: automatic event generation with MadGraph, JHEP 02 (2003) 027 [ hep-ph/0208156 ] [ INSPIRE ].
  153. Kleiss Ronald, Pittau Roberto, Weight optimization in multichannel Monte Carlo, 10.1016/0010-4655(94)90043-4
  154. Passarino G., Veltman M., One-loop corrections for e+e− annihilation into μ+μ− in the Weinberg model, 10.1016/0550-3213(79)90234-7
  155. Davydychev A.I., A simple formula for reducing Feynman diagrams to scalar integrals, 10.1016/0370-2693(91)91715-8
  156. Ossola Giovanni, Papadopoulos Costas G, Pittau Roberto, CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes, 10.1088/1126-6708/2008/03/042
  157. 't Hooft G., Veltman M., Regularization and renormalization of gauge fields, 10.1016/0550-3213(72)90279-9
  158. Ossola Giovanni, Papadopoulos Costas G, Pittau Roberto, On the rational terms of the one-loop amplitudes, 10.1088/1126-6708/2008/05/004
  159. Draggiotis P, Garzelli M.V, Papadopoulos C.G, Pittau R, Feynman rules for the rational part of the QCD 1-loop amplitudes, 10.1088/1126-6708/2009/04/072
  160. Garzelli M. V., Malamos I., Pittau R., Feynman rules for the rational part of the electroweak 1-loop amplitudes, 10.1007/jhep01(2010)040
  161. Garzelli M. V., Malamos I., Pittau R., Feynman rules for the rational part of the electroweak 1-loop amplitudes in the Rξ gauge and in the unitary gauge, 10.1007/jhep01(2011)029
  162. Shao Hua-Sheng, Zhang Yu-Jie, Chao Kuang-Ta, Feynman rules for the rational part of the standard model one-loop amplitudes in the ’t Hooft-Veltman γ 5 scheme, 10.1007/jhep09(2011)048
  163. Pittau R., Primary Feynman rules to calculate the ∊-dimensional integrand of any 1-loop amplitude, 10.1007/jhep02(2012)029
  164. Shao Hua-Sheng, Zhang Yu-Jie, Feynman rules for the rational part of one-loop QCD corrections in the MSSM, 10.1007/jhep06(2012)112
  165. Page Ben, Pittau Roberto, R2 vertices for the effective ggH theory, 10.1007/jhep09(2013)078
  166. Binoth Thomas, Guillet Jean-Philippe, Heinrich Gudrun, Algebraic evaluation of rational polynomials in one-loop amplitudes, 10.1088/1126-6708/2007/02/013
  167. Badger S.D, Direct extraction of one loop rational terms, 10.1088/1126-6708/2009/01/049
  168. H.-S. Shao, Iregi user manual, unpublished.
  169. J. Fleischer, T. Riemann and V. Yundin, New developments in PJFry, PoS(LL2012)020 [ arXiv:1210.4095 ] [ INSPIRE ].
  170. V. Yundin, Massive loop corrections for collider physics, Ph.D. thesis, Humboldt-Universitat zu Berlin, Berlin Germany (2012).
  171. P. Nason, MINT: a computer program for adaptive Monte Carlo integration and generation of unweighted distributions, arXiv:0709.2085 [ INSPIRE ].
  172. Frixione Stefano, Nason Paolo, Webber Bryan R, Matching NLO QCD and parton showers in heavy flavour production, 10.1088/1126-6708/2003/08/007
  173. Frixione Stefano, Laenen Eric, Motylinski Patrick, Webber Bryan R, Single-top production in MC@NLO, 10.1088/1126-6708/2006/03/092
  174. Torrielli Paolo, Frixione Stefano, Matching NLO QCD computations with PYTHIA using MC@NLO, 10.1007/jhep04(2010)110
  175. Frixione Stefano, Stoeckli Fabian, Torrielli Paolo, Webber Bryan R., NLO QCD corrections in Herwig++ with MC@NLO, 10.1007/jhep01(2011)053
  176. Lönnblad Leif, Ariadne version 4 — A program for simulation of QDC cascades implementing the colour dipole model, 10.1016/0010-4655(92)90068-a
  177. Z. Nagy and D.E. Soper, A new parton shower algorithm: shower evolution, matching at leading and next-to-leading order level, hep-ph/0601021 [ INSPIRE ].
  178. M. Dinsdale, M. Ternick and S. Weinzierl, Parton showers from the dipole formalism, Phys. Rev. D 76 (2007) 094003 [ arXiv:0709.1026 ] [ INSPIRE ].
  179. Schumann S, Krauss F, A parton shower algorithm based on Catani-Seymour dipole factorisation, 10.1088/1126-6708/2008/03/038
  180. Winter Jan-Christopher, Krauss Frank, Initial-state showering based on colour dipoles connected to incoming parton lines, 10.1088/1126-6708/2008/07/040
  181. Plätzer Simon, Gieseke Stefan, Dipole showers and automated NLO matching in Herwig++, 10.1140/epjc/s10052-012-2187-7
  182. Ritzmann M., Kosower D.A., Skands P., Antenna showers with hadronic initial states, 10.1016/j.physletb.2012.12.003
  183. Friberg Christer, Gustafson Gösta, Häkkinen Jari, Colour connections in e+e− annihilation, 10.1016/s0550-3213(97)00064-3
  184. W.T. Giele, D.A. Kosower and P.Z. Skands, Higher-order corrections to timelike jets, Phys. Rev. D 84 (2011) 054003 [ arXiv:1102.2126 ] [ INSPIRE ].
  185. Plätzer Simon, Sjödahl Malin, Subleading Nc improved parton showers, 10.1007/jhep07(2012)042
  186. Nagy Zoltán, Soper Davison E., Parton shower evolution with subleading color, 10.1007/jhep06(2012)044
  187. Altarelli G., Parisi G., Asymptotic freedom in parton language, 10.1016/0550-3213(77)90384-4
  188. Odagiri Kosuke, Colour connection structure of (supersymmetric) QCD (2→2) processes, 10.1088/1126-6708/1998/10/006
  189. Nason Paolo, Webber Bryan, Next-to-Leading-Order Event Generators, 10.1146/annurev-nucl-102711-094928
  190. S. Hoeche, F. Krauss and M. Schonherr, Uncertainties in MEPS@NLO calculations of h + jets, arXiv:1401.7971 [ INSPIRE ].
  191. Frederix Rikkert, Frixione Stefano, Merging meets matching in MC@NLO, 10.1007/jhep12(2012)061
  192. Catani Stefano, Krauss Frank, Webber Bryan R, Kuhn Ralf, QCD Matrix Elements + Parton Showers, 10.1088/1126-6708/2001/11/063
  193. Krauss Frank, Matrix Elements and Parton Showers in Hadronic Interactions, 10.1088/1126-6708/2002/08/015
  194. Mrenna Stephen, Richardson Peter, Matching Matrix Elements and Parton Showers with HERWIG and PYTHIA, 10.1088/1126-6708/2004/05/040
  195. Lavesson Nils, Lönnblad Leif, W+jets matrix elements and the dipole cascade, 10.1088/1126-6708/2005/07/054
  196. Höche Stefan, Krauss Frank, Schumann Steffen, Siegert Frank, QCD matrix elements and truncated showers, 10.1088/1126-6708/2009/05/053
  197. Hamilton Keith, Richardson Peter, Tully Jon, A modified CKKW matrix element merging approach to angular-ordered parton showers, 10.1088/1126-6708/2009/11/038
  198. Lavesson Nils, Lönnblad Leif, Extending CKKW-merging to one-loop matrix elements, 10.1088/1126-6708/2008/12/070
  199. Hamilton Keith, Nason Paolo, Improving NLO-parton shower matched simulations with higher order matrix elements, 10.1007/jhep06(2010)039
  200. Höche Stefan, Krauss Frank, Schönherr Marek, Siegert Frank, NLO matrix elements and truncated showers, 10.1007/jhep08(2011)123
  201. Alioli Simone, Hamilton Keith, Re Emanuele, Practical improvements and merging of Powheg simulations for vector boson production, 10.1007/jhep09(2011)104
  202. Höche Stefan, Krauss Frank, Schönherr Marek, Siegert Frank, QCD matrix elements + parton showers. The NLO case, 10.1007/jhep04(2013)027
  203. Plätzer Simon, Controlling inclusive cross sections in parton shower + matrix element merging, 10.1007/jhep08(2013)114
  204. Alioli Simone, Bauer Christian W., Berggren Calvin, Hornig Andrew, Tackmann Frank J., Vermilion Christopher K., Walsh Jonathan R., Zuberi Saba, Combining higher-order resummation with multiple NLO calculations and parton showers in GENEVA, 10.1007/jhep09(2013)120
  205. Lönnblad Leif, Prestel Stefan, Merging multi-leg NLO matrix elements with parton showers, 10.1007/jhep03(2013)166
  206. Hamilton Keith, Nason Paolo, Oleari Carlo, Zanderighi Giulia, Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching, 10.1007/jhep05(2013)082
  207. Alioli Simone, Bauer Christian W., Berggren Calvin, Tackmann Frank J., Walsh Jonathan R., Zuberi Saba, Matching fully differential NNLO calculations and parton showers, 10.1007/jhep06(2014)089
  208. Bozzi Giuseppe, Catani Stefano, de Florian Daniel, Grazzini Massimiliano, Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC, 10.1016/j.nuclphysb.2005.12.022
  209. Stuart Robin G., Gauge invariance, analyticity and physical observables at the Z0 resonance, 10.1016/0370-2693(91)90653-8
  210. Aeppli André, Jan^van Oldenborgh Geert, Wyler Daniel, Unstable particles in one loop calculations, 10.1016/0550-3213(94)90195-3
  211. Frixione Stefano, Laenen Eric, Motylinski Patrick, Webber Bryan R, Angular correlations of lepton pairs from vector boson and top quark decays in Monte Carlo simulations, 10.1088/1126-6708/2007/04/081
  212. Richardson Peter, Spin correlations in Monte Carlo simulations, 10.1088/1126-6708/2001/11/029
  213. Artoisenet Pierre, Frederix Rikkert, Mattelaer Olivier, Rietkerk Robbert, Automatic spin-entangled decays of heavy resonances in Monte Carlo simulations, 10.1007/jhep03(2013)015
  214. Papanastasiou A.S., Frederix R., Frixione S., Hirschi V., Maltoni F., Single-top t-channel production with off-shell and non-resonant effects, 10.1016/j.physletb.2013.07.062
  215. J. Conway, Pretty Good Simulator webpage, http://www.physics.ucdavis.edu/∼conway/research/software/pgs/pgs4-general.htm .
  216. de Favereau J., , Delaere C., Demin P., Giammanco A., Lemaître V., Mertens A., Selvaggi M., DELPHES 3: a modular framework for fast simulation of a generic collider experiment, 10.1007/jhep02(2014)057
  217. S. Ovyn, X. Rouby and V. Lemaitre, DELPHES, a framework for fast simulation of a generic collider experiment, arXiv:0903.2225 [ INSPIRE ].
  218. SM Working group collaboration, Proceedings of the workshop physics at TeV colliders, Les Houches, 2013, to appear.
  219. Martin A. D., Stirling W. J., Thorne R. S., Watt G., Parton distributions for the LHC, 10.1140/epjc/s10052-009-1072-5
  220. Cacciari Matteo, Salam Gavin P, Soyez Gregory, The anti-kt jet clustering algorithm, 10.1088/1126-6708/2008/04/063
  221. Frixione Stefano, Isolated photons in perturbative QCD, 10.1016/s0370-2693(98)00454-7
  222. Frederix Rikkert, Re Emanuele, Torrielli Paolo, Single-top t-channel hadroproduction in the four-flavour scheme with POWHEG and aMC@NLO, 10.1007/jhep09(2012)130
  223. J.M. Campbell and R.K. Ellis, Next-to-leading order corrections to W + 2 jet and Z + 2 jet production at hadron colliders, Phys. Rev. D 65 (2002) 113007 [ hep-ph/0202176 ] [ INSPIRE ].
  224. J.M. Campbell, R.K. Ellis and D.L. Rainwater, Next-to-leading order QCD predictions for W +2 jet and Z + 2 jet production at the CERN LHC, Phys. Rev. D 68 (2003) 094021 [ hep-ph/0308195 ] [ INSPIRE ].
  225. Campbell John M., Ellis R. Keith, Nason Paolo, Zanderighi Giulia, W and Z bosons in association with two jets using the POWHEG method, 10.1007/jhep08(2013)005
  226. J.M. Campbell et al., Associated production of a W boson and one b jet, Phys. Rev. D 79 (2009) 034023 [ arXiv:0809.3003 ] [ INSPIRE ].
  227. J.M. Campbell, R.K. Ellis, F. Maltoni and S. Willenbrock, Associated production of a Z boson and a single heavy quark jet, Phys. Rev. D 69 (2004) 074021 [ hep-ph/0312024 ] [ INSPIRE ].
  228. Campbell J., Ellis R. K., Maltoni F., Willenbrock S., Production of aZboson and two jets with one heavy-quark tag, 10.1103/physrevd.73.054007
  229. J.M. Campbell, R.K. Ellis, F. Maltoni and S. Willenbrock, Production of a W boson and two jets with one b − quark tag, Phys. Rev. D 75 (2007) 054015 [ hep-ph/0611348 ] [ INSPIRE ].
  230. J.M. Campbell, F. Caola, F. Febres Cordero, L. Reina and D. Wackeroth, NLO QCD predictions for W + 1 jet and W + 2 jet production with at least one b jet at the 7 TeV LHC, Phys. Rev. D 86 (2012) 034021 [ arXiv:1107.3714 ] [ INSPIRE ].
  231. Alioli Simone, Nason Paolo, Oleari Carlo, Re Emanuele, NLO vector-boson production matched with shower inPOWHEG, 10.1088/1126-6708/2008/07/060
  232. Alioli Simone, Nason Paolo, Oleari Carlo, Re Emanuele, Vector boson plus one jet production in POWHEG, 10.1007/jhep01(2011)095
  233. Re Emanuele, NLO corrections merged with parton showers for Z + 2 jets production using the POWHEG method, 10.1007/jhep10(2012)031
  234. Ellis R. Keith, Melnikov Kirill, Zanderighi Giulia, Generalized unitarity at work: first NLO QCD results for hadronicW+3 jet production, 10.1088/1126-6708/2009/04/077
  235. K. Melnikov and G. Zanderighi, W + 3 jet production at the LHC as a signal or background, Phys. Rev. D 81 (2010) 074025 [ arXiv:0910.3671 ] [ INSPIRE ].
  236. Berger C. F., Bern Z., Dixon L. J., Cordero F. Febres, Forde D., Gleisberg T., Ita H., Kosower D. A., Maître D., Precise Predictions forW+3Jet Production at Hadron Colliders, 10.1103/physrevlett.102.222001
  237. C.F. Berger et al., Next-to-leading order QCD predictions for W + 3-jet distributions at hadron colliders, Phys. Rev. D 80 (2009) 074036 [ arXiv:0907.1984 ] [ INSPIRE ].
  238. C.F. Berger et al., Next-to-leading order QCD predictions for Z, γ * + 3-jet distributions at the Tevatron, Phys. Rev. D 82 (2010) 074002 [ arXiv:1004.1659 ] [ INSPIRE ].
  239. Berger C. F., Bern Z., Dixon L. J., Febres Cordero F., Forde D., Gleisberg T., Ita H., Kosower D. A., Maître D., Precise Predictions forW+4-Jet Production at the Large Hadron Collider, 10.1103/physrevlett.106.092001
  240. H. Ita et al., Precise predictions for Z + 4 jets at hadron colliders, Phys. Rev. D 85 (2012) 031501 [ arXiv:1108.2229 ] [ INSPIRE ].
  241. Höche Stefan, Krauss Frank, Schönherr Marek, Siegert Frank, W+n-Jet Predictions at the Large Hadron Collider at Next-To-Leading Order Matched with a Parton Shower, 10.1103/physrevlett.110.052001
  242. Catani Stefano, Fontannaz Michel, Guillet Jean-Philippe, Pilon Eric, Cross section of isolated prompt photons in hadron-hadron collisions, 10.1088/1126-6708/2002/05/028
  243. Z. Bern et al., Driving missing data at next-to-leading order, Phys. Rev. D 84 (2011) 114002 [ arXiv:1106.1423 ] [ INSPIRE ].
  244. K. Arnold et al., VBFNLO: a parton level Monte Carlo for processes with electroweak bosons — manual for version 2.5.0, arXiv:1107.4038 [ INSPIRE ].
  245. Jäger Barbara, Schneider Steven, Zanderighi Giulia, Next-to-leading order QCD corrections to electroweak Zjj production in the POWHEG BOX, 10.1007/jhep09(2012)083
  246. Mele B., Nason P., Ridolfi G., QCD radiative corrections to Z boson pair production in hadronic collisions, 10.1016/0550-3213(91)90475-d
  247. J. Ohnemus and J.F. Owens, An order α s calculation of hadronic ZZ production, Phys. Rev. D 43 (1991) 3626 [ INSPIRE ].
  248. Frixione S., Nason P., Ridolfi G., Strong corrections to WZ production at hadron colliders, 10.1016/0550-3213(92)90668-2
  249. J. Ohnemus, An order α s calculation of hadronic W − W + production, Phys. Rev. D 44 (1991) 1403 [ INSPIRE ].
  250. J. Ohnemus, An order α s calculation of hadronic W ± Z production, Phys. Rev. D 44 (1991) 3477 [ INSPIRE ].
  251. Frixione Stefano, A next-to-leading order calculation of the cross section for the production of W+W− pairs in hadronic collisions, 10.1016/0550-3213(93)90435-r
  252. J.M. Campbell and R.K. Ellis, An update on vector boson pair production at hadron colliders, Phys. Rev. D 60 (1999) 113006 [ hep-ph/9905386 ] [ INSPIRE ].
  253. L.J. Dixon, Z. Kunszt and A. Signer, Vector boson pair production in hadronic collisions at order α s : lepton correlations and anomalous couplings, Phys. Rev. D 60 (1999) 114037 [ hep-ph/9907305 ] [ INSPIRE ].
  254. de Florian D., Signer A., $W\gamma$ and $Z\gamma$ production at hadron colliders, 10.1007/s100520050007
  255. Greiner N., Heinrich G., Mastrolia P., Ossola G., Reiter T., Tramontano F., NLO QCD corrections to the production of W+W plus two jets at the LHC, 10.1016/j.physletb.2012.06.027
  256. Campbell John M., Ellis R. Keith, Williams Ciaran, Vector boson pair production at the LHC, 10.1007/jhep07(2011)018
  257. Nason Paolo, Ridolfi Giovanni, A positive-weight next-to-leading-order Monte Carlo for Z pair hadroproduction, 10.1088/1126-6708/2006/08/077
  258. Melia Tom, Nason Paolo, Röntsch Raoul, Zanderighi Giulia, W+W−, WZ and ZZ production in the POWHEG BOX, 10.1007/jhep11(2011)078
  259. Nason Paolo, Zanderighi Giulia, $$W^+W^-$$ W + W - , $$WZ$$ W Z and $$ZZ$$ Z Z production in the POWHEG-BOX-V2, 10.1140/epjc/s10052-013-2702-5
  260. V. Del Duca, F. Maltoni, Z. Nagy and Z. Trócsányi, QCD radiative corrections to prompt diphoton production in association with a jet at hadron colliders, JHEP 04 (2003) 059 [ hep-ph/0303012 ] [ INSPIRE ].
  261. Gehrmann T., Greiner N., Heinrich G., Precise QCD Predictions for the Production of a Photon Pair in Association with Two Jets, 10.1103/physrevlett.111.222002
  262. Badger Simon, Guffanti Alberto, Yundin Valery, Next-to-leading order QCD corrections to di-photon production in association with up to three jets at the Large Hadron Collider, 10.1007/jhep03(2014)122
  263. Z. Bern et al., Next-to-leading order diphoton + 2-jet production at the LHC, arXiv:1312.0592 [ INSPIRE ].
  264. Z. Bern et al., Next-to-leading order γγ + 2-jet production at the LHC, arXiv:1402.4127 [ INSPIRE ].
  265. Melia Tom, Melnikov Kirill, Röntsch Raoul, Zanderighi Giulia, Next-to-leading order QCD predictions for W + W + jj production at the LHC, 10.1007/jhep12(2010)053
  266. F. Campanario, M. Kerner, L.D. Ninh and D. Zeppenfeld, Next-to-leading order QCD corrections to W + W + and W − W − production in association with two jets, Phys. Rev. D 89 (2014) 054009 [ arXiv:1311.6738 ] [ INSPIRE ].
  267. Campbell John M., Hartanto Heribertus B., Williams Ciaran, Next-to-leading order predictions for Zγ + jet and Zγγ final states at the LHC, 10.1007/jhep11(2012)162
  268. F. Campanario, M. Kerner, L.D. Ninh and D. Zeppenfeld, Next-to-leading order QCD corrections to Wγ production in association with two jets, arXiv:1402.0505 [ INSPIRE ].
  269. F. Campanario, M. Kerner, L.D. Ninh and D. Zeppenfeld, NLO QCD corrections to WZjj production at the LHC, arXiv:1310.4369 [ INSPIRE ].
  270. Campanario F., Englert C., Spannowsky M., Zeppenfeld D., NLO-QCD corrections to Wγj production, 10.1209/0295-5075/88/11001
  271. F. Campanario, C. Englert and M. Spannowsky, Precise predictions for (non-standard) Wγ + jet production, Phys. Rev. D 83 (2011) 074009 [ arXiv:1010.1291 ] [ INSPIRE ].
  272. Campanario Francisco, Englert Christoph, Kallweit Stefan, Spannowsky Michael, Zeppenfeld Dieter, NLO QCD corrections to WZ+jet production with leptonic decays, 10.1007/jhep07(2010)076
  273. Jäger Barbara, Zanderighi Giulia, Electroweak W+W− jj prodution at NLO in QCD matched with parton shower in the POWHEG-BOX, 10.1007/jhep04(2013)024
  274. Schissler Franziska, Zeppenfeld Dieter, Parton shower effects on W and Z production via vector boson fusion at NLO QCD, 10.1007/jhep04(2013)057
  275. Jäger Barbara, Karlberg Alexander, Zanderighi Giulia, Electroweak ZZjj production in the Standard Model and beyond in the POWHEG-BOX V2, 10.1007/jhep03(2014)141
  276. G. Bozzi, F. Campanario, M. Rauch and D. Zeppenfeld, Zγγ production with leptonic decays and triple photon production at next-to-leading order QCD, Phys. Rev. D 84 (2011) 074028 [ arXiv:1107.3149 ] [ INSPIRE ].
  277. G. Bozzi, F. Campanario, M. Rauch and D. Zeppenfeld, W +− γγ production with leptonic decays at NLO QCD, Phys. Rev. D 83 (2011) 114035 [ arXiv:1103.4613 ] [ INSPIRE ].
  278. Bozzi G., Campanario F., Rauch M., Rzehak H., Zeppenfeld D., NLO QCD corrections to W±Zγ production with leptonic decays, 10.1016/j.physletb.2010.12.051
  279. G. Bozzi, F. Campanario, V. Hankele and D. Zeppenfeld, NLO QCD corrections to W + W − γ and ZZγ production with leptonic decays, Phys. Rev. D 81 (2010) 094030 [ arXiv:0911.0438 ] [ INSPIRE ].
  280. F. Campanario, V. Hankele, C. Oleari, S. Prestel and D. Zeppenfeld, QCD corrections to charged triple vector boson production with leptonic decay, Phys. Rev. D 78 (2008) 094012 [ arXiv:0809.0790 ] [ INSPIRE ].
  281. J.M. Campbell and C. Williams, Triphoton production at hadron colliders, Phys. Rev. D 89 (2014) 113001 [ arXiv:1403.2641 ] [ INSPIRE ].
  282. M.K. Mandal, P. Mathews, V. Ravindran and S. Seth, Three photon production to NLO + PS accuracy at the LHC, arXiv:1403.2917 [ INSPIRE ].
  283. A. Lazopoulos, K. Melnikov and F. Petriello, QCD corrections to tri-boson production, Phys. Rev. D 76 (2007) 014001 [ hep-ph/0703273 ] [ INSPIRE ].
  284. Campanario Francisco, Englert Christoph, Rauch Michael, Zeppenfeld Dieter, Precise predictions for Wγγ+jet production at hadron colliders, 10.1016/j.physletb.2011.09.072
  285. S. Hoeche et al., Triple vector boson production through Higgs-Strahlung with NLO multijet merging, Phys. Rev. D 89 (2014) 093015 [ arXiv:1403.7516 ] [ INSPIRE ].
  286. Nason P., Dawson S., Ellis R.K., The total cross section for the production of heavy quarks in hadronic collisions, 10.1016/0550-3213(88)90422-1
  287. W. Beenakker, H. Kuijf, W.L. van Neerven and J. Smith, QCD corrections to heavy quark production in pp collisions, Phys. Rev. D 40 (1989) 54 [ INSPIRE ].
  288. Nason P., Dawson S., Ellis R.K., The one particle inclusive differential cross section for heavy quark production in hadronic collisions, 10.1016/0550-3213(89)90286-1
  289. Beenakker W., Van Neerven W.L., Meng R., Schuler G.A., Smith J., QCD corrections to heavy quark production in hadron-hadron collisions, 10.1016/s0550-3213(05)80032-x
  290. Mangano Michelangelo L., Nason Paolo, Ridolfi Giovanni, Heavy-quark correlations in hadron collisions at next-to-leading order, 10.1016/0550-3213(92)90435-e
  291. Frixione Stefano, Ridolfi Giovanni, Nason Paolo, A positive-weight next-to-leading-order Monte Carlo for heavy flavour hadroproduction, 10.1088/1126-6708/2007/09/126
  292. Dittmaier S., Uwer P., Weinzierl S., Next-to-Leading-Order QCD Corrections tott¯+jetProduction at Hadron Colliders, 10.1103/physrevlett.98.262002
  293. K. Melnikov, A. Scharf and M. Schulze, Top quark pair production in association with a jet: QCD corrections and jet radiation in top quark decays, Phys. Rev. D 85 (2012) 054002 [ arXiv:1111.4991 ] [ INSPIRE ].
  294. Alioli Simone, Moch Sven-Olaf, Uwer Peter, Hadronic top-quark pair-production with one jet and parton showering, 10.1007/jhep01(2012)137
  295. Bevilacqua G., Czakon M., Papadopoulos C. G., Worek M., Dominant QCD Backgrounds in Higgs Boson Analyses at the LHC: A Study ofpp→tt¯+2Jets at Next-to-Leading Order, 10.1103/physrevlett.104.162002
  296. M. Schönherr, S. Höche, J. Huang, G. Luisoni and J. Winter, NLO merging in t t ¯ $$ t\overline{t} $$ + jets, PoS(EPS-HEP 2013)246 [ arXiv:1311.3621 ] [ INSPIRE ].
  297. S. Hoeche et al., Next-to-leading order QCD predictions for top-quark pair production with up to two jets merged with a parton shower, arXiv:1402.6293 [ INSPIRE ].
  298. Z. Nagy, Next-to-leading order calculation of three jet observables in hadron hadron collision, Phys. Rev. D 68 (2003) 094002 [ hep-ph/0307268 ] [ INSPIRE ].
  299. Badger Simon, Biedermann Benedikt, Uwer Peter, Yundin Valery, NLO QCD corrections to multi-jet production at the LHC with a centre-of-mass energy of s=8 TeV, 10.1016/j.physletb.2012.11.029
  300. S. Badger, B. Biedermann, P. Uwer and V. Yundin, Next-to-leading order QCD corrections to five jet production at the LHC, Phys. Rev. D 89 (2014) 034019 [ arXiv:1309.6585 ] [ INSPIRE ].
  301. Alioli Simone, Hamilton Keith, Nason Paolo, Oleari Carlo, Re Emanuele, Jet pair production in POWHEG, 10.1007/jhep04(2011)081
  302. Kardos Adam, Nason Paolo, Oleari Carlo, Three-jet production in POWHEG, 10.1007/jhep04(2014)043
  303. Greiner Nicolas, Guffanti Alberto, Reiter Thomas, Reuter Jürgen, Next-to-Leading Order QCD Corrections to the Production of Two Bottom-Antibottom Pairs at the LHC, 10.1103/physrevlett.107.102002
  304. Bevilacqua G., Czakon M., Krämer M., Kubocz M., Worek M., Quantifying quark mass effects at the LHC: a study of $ pp\ \to\ b\overline{b}b\overline{b}+X $ at next-to-leading order, 10.1007/jhep07(2013)095
  305. Bevilacqua G, Czakon M, Papadopoulos C.G, Pittau R, Worek M, Assault on the NLO wishlist:pp→tt̄bb̄, 10.1088/1126-6708/2009/09/109
  306. Bredenstein A., Denner A., Dittmaier S., Pozzorini S., Next-To-Leading Order QCD Corrections topp→tt¯bb¯+Xat the LHC, 10.1103/physrevlett.103.012002
  307. Bredenstein A., Denner A., Dittmaier S., Pozzorini S., NLO QCD corrections to $$ {\text{t}}\overline {\text{t}} {\text{b}}\overline {\text{b}} $$ production at the LHC: 2. Full hadronic results, 10.1007/jhep03(2010)021
  308. Bevilacqua G., Worek M., Constraining BSM physics at the LHC: four top final states with NLO accuracy in perturbative QCD, 10.1007/jhep07(2012)111
  309. R.K. Ellis and S. Veseli, Strong radiative corrections to W b b ¯ $$ W\ b\overline{b} $$ production in p p ¯ $$ p\overline{p} $$ collisions, Phys. Rev. D 60 (1999) 011501 [ hep-ph/9810489 ] [ INSPIRE ].
  310. Badger Simon, Campbell John M., Ellis R. K., QCD corrections to the hadronic production of a heavy quark pair and a W-boson including decay correlations, 10.1007/jhep03(2011)027
  311. Frederix Rikkert, Frixione Stefano, Hirschi Valentin, Maltoni Fabio, Pittau Roberto, Torrielli Paolo, W and Z/γ ∗ boson production in association with a bottom-antibottom pair, 10.1007/jhep09(2011)061
  312. C. Oleari and L. Reina, W ± b b ¯ $$ {W}^{\pm } b\overline{b} $$ production in POWHEG, JHEP 08 (2011) 061 [Erratum ibid. 11 (2011) 040] [ arXiv:1105.4488 ] [ INSPIRE ].
  313. J.M. Campbell and R.K. Ellis, Radiative corrections to Zb b ¯ $$ Zb\overline{b} $$ production, Phys. Rev. D 62 (2000) 114012 [ hep-ph/0006304 ] [ INSPIRE ].
  314. K. Melnikov, M. Schulze and A. Scharf, QCD corrections to top quark pair production in association with a photon at hadron colliders, Phys. Rev. D 83 (2011) 074013 [ arXiv:1102.1967 ] [ INSPIRE ].
  315. Lazopoulos Achilleas, McElmurry Thomas, Melnikov Kirill, Petriello Frank, Next-to-leading order QCD corrections to tt¯Z production at the LHC, 10.1016/j.physletb.2008.06.073
  316. Garzelli M. V., Kardos A., Papadopoulos C. G., Trócsányi Z., t $ \bar{\mathrm{t}} $ W± + t $ \bar{\mathrm{t}} $ Z hadroproduction at NLO accuracy in QCD with Parton Shower and Hadronization effects, 10.1007/jhep11(2012)056
  317. Campbell John M., Ellis R. Keith, $$ t\overline t {W^{\pm }} $$ production and decay at NLO, 10.1007/jhep07(2012)052
  318. Stelzer T., Willenbrock S., Single-top-quark production via, 10.1016/0370-2693(95)00861-e
  319. T. Stelzer, Z. Sullivan and S. Willenbrock, Single top quark production via W-gluon fusion at next-to-leading order, Phys. Rev. D 56 (1997) 5919 [ hep-ph/9705398 ] [ INSPIRE ].
  320. J.M. Campbell, R.K. Ellis and F. Tramontano, Single top production and decay at next-to-leading order, Phys. Rev. D 70 (2004) 094012 [ hep-ph/0408158 ] [ INSPIRE ].
  321. Campbell John M, Frederix Rikkert, Maltoni Fabio, Tramontano Francesco, NLO predictions for t-channel production of single top and fourth generation quarks at hadron colliders, 10.1088/1126-6708/2009/10/042
  322. Campbell J. M., Frederix R., Maltoni F., Tramontano F., Next-to-Leading-Order Predictions fort-Channel Single-Top Production at Hadron Colliders, 10.1103/physrevlett.102.182003
  323. Campbell John, Tramontano Francesco, Next-to-leading order corrections to Wt production and decay, 10.1016/j.nuclphysb.2005.08.015
  324. Frixione Stefano, Laenen Eric, Motylinski Patrick, White Chris, Webber Bryan R, Single-top hadroproduction in association with aWboson, 10.1088/1126-6708/2008/07/029
  325. S. Alioli, P. Nason, C. Oleari and E. Re, NLO single-top production matched with shower in POWHEG: s- and t-channel contributions, JHEP 09 (2009) 111 [Erratum ibid. 02 (2010) 011] [ arXiv:0907.4076 ] [ INSPIRE ].
  326. E. Re, Single-top Wt-channel production matched with parton showers using the POWHEG method, Eur. Phys. J. C 71 (2011) 1547 [ arXiv:1009.2450 ] [ INSPIRE ].
  327. J. Campbell, R.K. Ellis and R. Rötsch, Single top production in association with a Z boson at the LHC, Phys. Rev. D 87 (2013) 114006 [ arXiv:1302.3856 ] [ INSPIRE ].
  328. LHC Higgs Cross section Working Group collaboration, S. Dittmaier et al., Handbook of LHC Higgs cross sections: 1. Inclusive observables, arXiv:1101.0593 [ INSPIRE ].
  329. LHC Higgs Cross section Working Group collaboration, S. Dittmaier et al., Handbook of LHC Higgs cross sections: 2. Differential distributions, arXiv:1201.3084 [ INSPIRE ].
  330. LHC Higgs Cross section Working Group collaboration, S. Heinemeyer et al., Handbook of LHC Higgs cross sections: 3. Higgs properties, arXiv:1307.1347 [ INSPIRE ].
  331. Baglio J., Djouadi A., Gröber R., Mühlleitner M.M., Quevillon J., Spira M., The measurement of the Higgs self-coupling at the LHC: theoretical status, 10.1007/jhep04(2013)151
  332. Plehn T., Spira M., Zerwas P.M., Pair production of neutral Higgs particles in gluon-gluon collisions, 10.1016/0550-3213(96)00418-x
  333. S. Dawson, S. Dittmaier and M. Spira, Neutral Higgs boson pair production at hadron colliders: QCD corrections, Phys. Rev. D 58 (1998) 115012 [ hep-ph/9805244 ] [ INSPIRE ].
  334. Signer Adrian, Dixon Lance, Electron-Positron Annihilation into Four Jets at Next-to-Leading Order inαs, 10.1103/physrevlett.78.811
  335. A. Signer, Next-to-leading order corrections to e + e − → four jets, hep-ph/9705218 [ INSPIRE ].
  336. Nagy Zoltán, Trócsányi Zoltán, Four-jet production in e+e− annihilation at next-to-leading order, 10.1016/s0920-5632(97)01037-2
  337. Nagy Zoltán, Trócsányi Zoltán, Next-to-Leading Order Calculation of Four-Jet Shape Variables, 10.1103/physrevlett.79.3604
  338. Frederix Rikkert, Frixione Stefano, Melnikov Kirill, Zanderighi Giulia, NLO QCD corrections to five-jet production at LEP and the extraction of α s (M Z ), 10.1007/jhep11(2010)050
  339. Bilenky Mikhail, Rodrigo Germán, Santamaria Arcadi, Three-jet production at LEP and the bottom quark mass, 10.1016/0550-3213(94)00586-4
  340. C.R. Schmidt, Top quark production and decay at next-to-leading order in e + e − annihilation, Phys. Rev. D 54 (1996) 3250 [ hep-ph/9504434 ] [ INSPIRE ].
  341. C. Oleari, Next-to-leading order corrections to the production of heavy flavor jets in e + e − collisions, hep-ph/9802431 [ INSPIRE ].
  342. Nason Paolo, Oleari Carlo, Next-to-leading-order corrections to the production of heavy-flavour jets in e+ e− collisions, 10.1016/s0550-3213(98)00125-4
  343. Bernreuther Werner, Brandenburg Arnd, Uwer Peter, Next-to-Leading Order QCD Corrections to Three-Jet Cross Sections with Massive Quarks, 10.1103/physrevlett.79.189
  344. Brandenburg Arnd, Uwer Peter, Next-to-leading order QCD corrections and massive quarks in e+e− → 3 jets, 10.1016/s0550-3213(97)00790-6
  345. A. Brandenburg, The reaction e + e − → t t ¯ g $$ t\overline{t} g $$ at next-to-leading order in αs, hep-ph/9908383 [ INSPIRE ].
  346. Dittmaier S., Krämer M., Liao Y., Spira M., Zerwas P.M., Higgs radiation off top quarks in e+e− collisions, 10.1016/s0370-2693(98)01192-7
  347. Frixione Stefano, Torrielli Paolo, Zaro Marco, Higgs production through vector-boson fusion at the NLO matched with parton showers, 10.1016/j.physletb.2013.08.030
  348. ATLAS collaboration, Measurement of top-quark pair differential cross-sections in the l + jets channel in pp collisions at s $$ \sqrt{s} $$ = 7 TeV using the ATLAS detector, ATLAS-CONF-2013-099 , CERN, Geneva Switzerland (2013).
  349. CMS collaboration, Measurement of differential top-quark pair production cross sections in pp colisions at s $$ \sqrt{s} $$ = 7 TeV, Eur. Phys. J. C 73 (2013) 2339 [ arXiv:1211.2220 ] [ INSPIRE ].
  350. CMS collaboration, Measurement of differential top-quark pair production cross sections in the lepton + jets channel in pp collisions at 8 TeV, CMS-TOP-12-027 , CERN, Geneva Switzerland (2012).
  351. CMS collaboration, Measurement of the differential t t ¯ $$ t\overline{t} $$ cross section in the dilepton channel at 8 TeV, CMS-TOP-12-028 , CERN, Geneva Switzerland (2012).
  352. ATLAS collaboration, Measurement of t t ¯ $$ t\overline{t} $$ production with a veto on additional central jet activity in pp collisions at s $$ \sqrt{s} $$ = 7 TeV using the ATLAS detector, Eur. Phys. J. C 72 (2012) 2043 [ arXiv:1203.5015 ] [ INSPIRE ].
  353. CMS collaboration, Measurement of jet multiplicity distributions in top quark events with two leptons in the final state at a centre-of-mass energy of 7 TeV, CMS-TOP-12-023 , CERN, Geneva Switzerland (2012).
  354. CMS collaboration, Measurement of the jet multiplicity in dileptonic top quark pair events at 8 TeV, CMS-TOP-12-041 , CERN, Geneva Switzerland (2012).
  355. S. Dittmaier and M. Kramer, Electroweak radiative corrections to W boson production at hadron colliders, Phys. Rev. D 65 (2002) 073007 [ hep-ph/0109062 ] [ INSPIRE ].
  356. A. Denner, Techniques for calculation of electroweak radiative corrections at the one loop level and results for W physics at LEP-200, Fortsch. Phys. 41 (1993) 307 [ arXiv:0709.1075 ] [ INSPIRE ].
  357. Beenakker W., Dittmaier S., Krämer M., Plümper B., Spira M., Zerwas P.M., NLO QCD corrections to production in hadron collisions, 10.1016/s0550-3213(03)00044-0
  358. Binoth T, Ossola G, Papadopoulos C.G, Pittau R, NLO QCD corrections to tri-boson production, 10.1088/1126-6708/2008/06/082
  359. T. Melia, K. Melnikov, R. Rontsch and G. Zanderighi, NLO QCD corrections for W + W − pair production in association with two jets at hadron colliders, Phys. Rev. D 83 (2011) 114043 [ arXiv:1104.2327 ] [ INSPIRE ].
  360. Cullen G., van Deurzen H., Greiner N., Luisoni G., Mastrolia P., Mirabella E., Ossola G., Peraro T., Tramontano F., Next-to-Leading-Order QCD Corrections to Higgs Boson Production Plus Three Jets in Gluon Fusion, 10.1103/physrevlett.111.131801
  361. van Deurzen H., Luisoni G., Mastrolia P., Mirabella E., Ossola G., Peraro T., Next-to-Leading-Order QCD Corrections to Higgs Boson Production in Association with a Top Quark Pair and a Jet, 10.1103/physrevlett.111.171801
  362. Kardos A, Trócsányi Z, Hadroproduction of t anti-t pair with a b anti-b pair using PowHel, 10.1088/0954-3899/41/7/075005
  363. A. Kardos, Z. Trócsányi and C. Papadopoulos, Top quark pair production in association with a Z-boson at NLO accuracy, Phys. Rev. D 85 (2012) 054015 [ arXiv:1111.0610 ] [ INSPIRE ].
  364. M.V. Garzelli, A. Kardos, C.G. Papadopoulos and Z. Trócsányi, Z 0 -boson production in association with a top anti-top pair at NLO accuracy with parton shower effects, Phys. Rev. D 85 (2012) 074022 [ arXiv:1111.1444 ] [ INSPIRE ].
  365. Kardos Adam, Papadopoulos Costas G., Trócsányi Zoltán, Top quark pair production in association with a jet at NLO accuracy with parton showering, 10.1016/j.physletb.2011.09.080
  366. M.R. Whalley, D. Bourilkov and R.C. Group, The Les Houches accord PDFs (LHAPDF) and LHAGLUE, hep-ph/0508110 [ INSPIRE ].
  367. Cacciari Matteo, Frixione Stefano, Mangano Michelangelo M, Nason Paolo, Ridolfi Giovanni, Updated predictions for the total production cross sections of top and of heavier quark pairs at the Tevatron and at the LHC, 10.1088/1126-6708/2008/09/127
  368. Ball Richard D., Del Debbio Luigi, Forte Stefano, Guffanti Alberto, Latorre José I., Rojo Juan, Ubiali Maria, A first unbiased global NLO determination of parton distributions and their uncertainties, 10.1016/j.nuclphysb.2010.05.008
  369. D.E. Soper and M. Spannowsky, Finding top quarks with shower deconstruction, Phys. Rev. D 87 (2013) 054012 [ arXiv:1211.3140 ] [ INSPIRE ].
  370. D.E. Soper and M. Spannowsky, Finding physics signals with event deconstruction, arXiv:1402.1189 [ INSPIRE ].
  371. van Hameren A., OneLOop: For the evaluation of one-loop scalar functions, 10.1016/j.cpc.2011.06.011
  372. Ellis R. Keith, Zanderighi Giulia, Scalar one-loop integrals for QCD, 10.1088/1126-6708/2008/02/002
  373. Denner A., Dittmaier S., Reduction schemes for one-loop tensor integrals, 10.1016/j.nuclphysb.2005.11.007
  374. O.V. Tarasov, Connection between Feynman integrals having different values of the space-time dimension, Phys. Rev. D 54 (1996) 6479 [ hep-th/9606018 ] [ INSPIRE ].
  375. Duplancic G., Ni?ic B., Reduction method for dimensionally regulatedone-loop N -point Feynman integrals, 10.1140/epjc/s2004-01723-7
  376. Cacciari Matteo, Salam Gavin P., Soyez Gregory, FastJet user manual : (for version 3.0.2), 10.1140/epjc/s10052-012-1896-2
  377. Kleiss R, Stirling W.J, Ellis S.D, A new Monte Carlo treatment of multiparticle phase space at high energies, 10.1016/0010-4655(86)90119-0
  378. L. Garren and P. Lebrun, StdHEP v5 manual, http://cepa.fnal.gov/psm/stdhep/ .
  379. Peter Lepage G, A new algorithm for adaptive multidimensional integration, 10.1016/0021-9991(78)90004-9
  380. G.P. Lepage, VEGAS: an adaptive multidimentional integration program, CLNS-80/447, (1980) [ INSPIRE ].