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Higgs boson decay into b-quarks at NNLO accuracy

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Del Duca, Vittorio Duhr, Claude [UCL] Somogyi, Gábor Tramontano, Francesco Trócsányi, Zoltán

We compute the fully differential decay rate of the Standard Model Higgs boson into b-quarks at next-to-next-to-leading order (NNLO) accuracy in αs. We employ a general subtraction scheme developed for the calculation of higher order perturbative corrections to QCD jet cross sections, which is based on the universal infrared factorization properties of QCD squared matrix elements. We show that the subtractions render the various contributions to the NNLO correction finite. In particular, we demonstrate analytically that the sum of integrated subtraction terms correctly reproduces the infrared poles of the two-loop double virtual contribution to this process. We present illustrative differential distributions obtained by implementing the method in a parton level Monte Carlo program. The basic ingredients of our subtraction scheme, used here for the first time to compute a physical observable, are universal and can be employed for the computation of more involved processes.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2015
Language Anglais
Journal information "Journal of High Energy Physics" - Vol. 2015, no.4, p. 36 (2015)
Peer reviewed yes
Publisher Institute of Physics (Heidelberg)
issn 1029-8479
e-issn 1029-8479
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Links
  1. ATLAS collaboration, Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [ arXiv:1207.7214 ] [ INSPIRE ].
  2. CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [ arXiv:1207.7235 ] [ INSPIRE ].
  3. ATLAS collaboration, Evidence for the spin-0 nature of the Higgs boson using ATLAS data, Phys. Lett. B 726 (2013) 120 [ arXiv:1307.1432 ] [ INSPIRE ].
  4. CMS collaboration, Measurement of Higgs boson production and properties in the WW decay channel with leptonic final states, JHEP 01 (2014) 096 [ arXiv:1312.1129 ] [ INSPIRE ].
  5. ATLAS collaboration, Measurements of Higgs boson production and couplings in diboson final states with the ATLAS detector at the LHC, Phys. Lett. B 726 (2013) 88 [ arXiv:1307.1427 ] [ INSPIRE ].
  6. CMS collaboration, Measurement of the properties of a Higgs boson in the four-lepton final state, Phys. Rev. D 89 (2014) 092007 [ arXiv:1312.5353 ] [ INSPIRE ].
  7. Butterworth Jonathan M., Davison Adam R., Rubin Mathieu, Salam Gavin P., Jet Substructure as a New Higgs-Search Channel at the Large Hadron Collider, 10.1103/physrevlett.100.242001
  8. CMS collaboration, Search for the standard model Higgs boson produced in association with a W or a Z boson and decaying to bottom quarks,Phys. Rev. D 89(2014)012003 [ arXiv:1310.3687 ] [ INSPIRE ].
  9. ATLAS collaboration, Search for the b b ¯ $$ b\overline{b} $$ decay of the standard model Higgs boson in associated (W/Z)H production with the ATLAS detector, JHEP 01 (2015) 069 [ arXiv:1409.6212 ] [ INSPIRE ].
  10. Binoth T., Heinrich G., An automatized algorithm to compute infrared divergent multi-loop integrals, 10.1016/s0550-3213(00)00429-6
  11. Binoth T., Heinrich G., Numerical evaluation of phase space integrals by sector decomposition, 10.1016/j.nuclphysb.2004.06.005
  12. C. Anastasiou, K. Melnikov and F. Petriello, A new method for real radiation at NNLO, Phys. Rev. D 69 (2004) 076010 [ hep-ph/0311311 ] [ INSPIRE ].
  13. Anastasiou Charalampos, Herzog Franz, Lazopoulos Achilleas, On the factorization of overlapping singularities at NNLO, 10.1007/jhep03(2011)038
  14. Weinzierl Stefan, Subtraction terms at NNLO, 10.1088/1126-6708/2003/03/062
  15. Weinzierl Stefan, Subtraction terms for one-loop amplitudes with one unresolved parton, 10.1088/1126-6708/2003/07/052
  16. Catani Stefano, Grazzini Massimiliano, Next-to-Next-to-Leading-Order Subtraction Formalism in Hadron Collisions and its Application to Higgs-Boson Production at the Large Hadron Collider, 10.1103/physrevlett.98.222002
  17. Campbell J.M., Glover E.W.N., Double unresolved approximations to multiparton scattering amplitudes, 10.1016/s0550-3213(98)00295-8
  18. Ridder Aude Gehrmann-De, Gehrmann Thomas, Glover E.W. Nigel, Antenna subtraction at NNLO, 10.1088/1126-6708/2005/09/056
  19. Daleo Alejandro, Gehrmann Thomas, Maître Daniel, Antenna subtraction with hadronic initial states, 10.1088/1126-6708/2007/04/016
  20. Daleo Alejandro, Gehrmann-De Ridder Aude, Gehrmann Thomas, Luisoni Gionata, Antenna subtraction at NNLO with hadronic initial states: initial-final configurations, 10.1007/jhep01(2010)118
  21. Glover E. W. Nigel, Pires Joao, Antenna subtraction for gluon scattering at NNLO, 10.1007/jhep06(2010)096
  22. Abelof G., Gehrmann-De Ridder A., Antenna subtraction for the production of heavy particles at hadron colliders, 10.1007/jhep04(2011)063
  23. Gehrmann Thomas, Monni Pier Francesco, Antenna subtraction at NNLO with hadronic initial states: real-virtual initial-initial configurations, 10.1007/jhep12(2011)049
  24. Gehrmann-De Ridder A., Gehrmann T., Ritzmann M., Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations, 10.1007/jhep10(2012)047
  25. Abelof Gabriel, Dekkers Oliver, Ridder Aude Gehrmann-De, Antenna subtraction with massive fermions at NNLO: double real initial-final configurations, 10.1007/jhep12(2012)107
  26. Currie James, Glover E. W. N., Wells Steven, Infrared structure at NNLO using antenna subtraction, 10.1007/jhep04(2013)066
  27. Czakon M., A novel subtraction scheme for double-real radiation at NNLO, 10.1016/j.physletb.2010.08.036
  28. Czakon M., Double-real radiation in hadronic top quark pair production as a proof of a certain concept, 10.1016/j.nuclphysb.2011.03.020
  29. M. Czakon and D. Heymes, Four-dimensional formulation of the sector-improved residue subtraction scheme, Nucl. Phys. B 890 (2014) 152 [ arXiv:1408.2500 ] [ INSPIRE ].
  30. R. Boughezal, K. Melnikov and F. Petriello, A subtraction scheme for NNLO computations, Phys. Rev. D 85 (2012) 034025 [ arXiv:1111.7041 ] [ INSPIRE ].
  31. Somogyi Gábor, Trócsányi Zoltán, Duca Vittorio Del, Matching of singly- and doubly-unresolved limits of tree-level QCD squared matrix elements, 10.1088/1126-6708/2005/06/024
  32. G. Somogyi and Z. Trócsányi, A new subtraction scheme for computing QCD jet cross sections at next-to-leading order accuracy, hep-ph/0609041 [ INSPIRE ].
  33. Somogyi Gábor, Trócsányi Zoltán, Duca Vittorio Del, A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions, 10.1088/1126-6708/2007/01/070
  34. Somogyi Gábor, Trócsányi Zoltán, A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of real-virtual emission, 10.1088/1126-6708/2007/01/052
  35. Somogyi Gábor, Trócsányi Zoltán, A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the subtraction terms I, 10.1088/1126-6708/2008/08/042
  36. Aglietti Ugo, Duca Vittorio Del, Duhr Claude, Somogyi Gábor, Trócsányi Zoltán, Analytic integration of real-virtual counterterms in NNLO jet cross sections I, 10.1088/1126-6708/2008/09/107
  37. Somogyi Gábor, Subtraction with hadronic initial states at NLO: an NNLO-compatible scheme, 10.1088/1126-6708/2009/05/016
  38. Bolzoni Paolo, Moch Sven-Olaf, Somogyi Gábor, Trócsányi Zoltán, Analytic integration of real-virtual counterterms in NNLO jet cross sections II, 10.1088/1126-6708/2009/08/079
  39. Bolzoni Paolo, Somogyi Gábor, Trócsányi Zoltán, A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms, 10.1007/jhep01(2011)059
  40. Del Duca Vittorio, Somogyi Gábor, Trócsányi Zoltán, Integration of collinear-type doubly unresolved counterterms in NNLO jet cross sections, 10.1007/jhep06(2013)079
  41. Somogyi Gábor, A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the doubly unresolved subtraction terms, 10.1007/jhep04(2013)010
  42. Anastasiou Charalampos, Dixon Lance, Melnikov Kirill, Petriello Frank, Dilepton Rapidity Distribution in the Drell-Yan Process at Next-to-Next-to-Leading Order in QCD, 10.1103/physrevlett.91.182002
  43. C. Anastasiou, L.J. Dixon, K. Melnikov and F. Petriello, High precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO, Phys. Rev. D 69 (2004) 094008 [ hep-ph/0312266 ] [ INSPIRE ].
  44. Anastasiou Charalampos, Melnikov Kirill, Petriello Frank, Real Radiation at Next-to-Next-to-Leading Order in QCD:e+e−→2Jets throughO(αs2), 10.1103/physrevlett.93.032002
  45. Anastasiou Charalampos, Melnikov Kirill, Petriello Frank, Higgs-Boson Production at Hadron Colliders: Differential Cross Sections through Next-to-Next-to-Leading Order, 10.1103/physrevlett.93.262002
  46. Anastasiou Charalampos, Melnikov Kirill, Petriello Frank, Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order, 10.1016/j.nuclphysb.2005.06.036
  47. Anastasiou Charalampos, Herzog Franz, Lazopoulos Achilleas, The fully differential decay rate of a Higgs boson to bottom-quarks at NNLO in QCD, 10.1007/jhep03(2012)035
  48. K. Melnikov and F. Petriello, Electroweak gauge boson production at hadron colliders through O(α s 2 ), Phys. Rev. D 74 (2006) 114017 [ hep-ph/0609070 ] [ INSPIRE ].
  49. Weinzierl Stefan, Next-to-Next-to-Leading Order Corrections to Three-Jet Observables in Electron-Positron Annihilation, 10.1103/physrevlett.101.162001
  50. Weinzierl Stefan, The infrared structure ofe+e−→ 3 jets at NNLO reloaded, 10.1088/1126-6708/2009/07/009
  51. Weinzierl Stefan, Event shapes and jet rates in electron-positron annihilation at NNLO, 10.1088/1126-6708/2009/06/041
  52. S. Weinzierl, Moments of event shapes in electron-positron annihilation at NNLO, Phys. Rev. D 80 (2009) 094018 [ arXiv:0909.5056 ] [ INSPIRE ].
  53. S. Weinzierl, Jet algorithms in electron-positron annihilation: perturbative higher order predictions, Eur. Phys. J. C 71 (2011) 1565 [Erratum ibid. C 71 (2011) 1717] [ arXiv:1011.6247 ] [ INSPIRE ].
  54. Grazzini Massimiliano, NNLO predictions for the Higgs boson signal in the H → WW → lνlν and H → ZZ → 4l decay channels, 10.1088/1126-6708/2008/02/043
  55. Catani Stefano, Cieri Leandro, Ferrera Giancarlo, de Florian Daniel, Grazzini Massimiliano, Vector Boson Production at Hadron Colliders: A Fully Exclusive QCD Calculation at Next-to-Next-to-Leading Order, 10.1103/physrevlett.103.082001
  56. Ferrera Giancarlo, Grazzini Massimiliano, Tramontano Francesco, Associated Higgs-W-Boson Production at Hadron Colliders: A Fully Exclusive QCD Calculation at NNLO, 10.1103/physrevlett.107.152003
  57. Catani Stefano, Cieri Leandro, de Florian Daniel, Ferrera Giancarlo, Grazzini Massimiliano, Diphoton Production at Hadron Colliders: A Fully Differential QCD Calculation at Next-to-Next-to-Leading Order, 10.1103/physrevlett.108.072001
  58. Grazzini Massimiliano, Kallweit Stefan, Rathlev Dirk, Torre Alessandro, Zγ production at hadron colliders in NNLO QCD, 10.1016/j.physletb.2014.02.037
  59. Ferrera Giancarlo, Grazzini Massimiliano, Tramontano Francesco, Associated ZH production at hadron colliders: The fully differential NNLO QCD calculation, 10.1016/j.physletb.2014.11.040
  60. Cascioli F., Gehrmann T., Grazzini M., Kallweit S., Maierhöfer P., von Manteuffel A., Pozzorini S., Rathlev D., Tancredi L., Weihs E., ZZ production at hadron colliders in NNLO QCD, 10.1016/j.physletb.2014.06.056
  61. Gehrmann T., Grazzini M., Kallweit S., Maierhöfer P., von Manteuffel A., Pozzorini S., Rathlev D., Tancredi L., W+W−Production at Hadron Colliders in Next to Next to Leading Order QCD, 10.1103/physrevlett.113.212001
  62. Gehrmann-De Ridder A., Gehrmann T., Glover E.W.N., Infrared structure of e+e−→2 jets at NNLO, 10.1016/j.nuclphysb.2004.05.017
  63. Ridder Aude Gehrmann-De, Gehrmann Thomas, Glover E.W. Nigel, Heinrich Gudrun, Infrared structure of e+e− → 3 jets at NNLO, 10.1088/1126-6708/2007/11/058
  64. Ridder A. Gehrmann-De, Gehrmann T, Glover E.W.N, Heinrich G, NNLO corrections to event shapes in e+e− annihilation, 10.1088/1126-6708/2007/12/094
  65. Gehrmann-De Ridder A., Gehrmann T., Glover E. W. N., Pires J., Second-Order QCD Corrections to Jet Production at Hadron Colliders: The All-Gluon Contribution, 10.1103/physrevlett.110.162003
  66. Currie James, Ridder Aude Gehrmann-De, Glover E. W. N., Pires João, NNLO QCD corrections to jet production at hadron colliders from gluon scattering, 10.1007/jhep01(2014)110
  67. Abelof Gabriel, Ridder Aude Gehrmann-De, Maierhöfer Philipp, Pozzorini Stefano, NNLO QCD subtraction for top-antitop production in the q q ¯ $$ q\overline{q} $$ channel, 10.1007/jhep08(2014)035
  68. Chen X., Gehrmann T., Glover E.W.N., Jaquier M., Precise QCD predictions for the production of Higgs + jet final states, 10.1016/j.physletb.2014.11.021
  69. Abelof Gabriel, Ridder Aude Gehrmann-De, Light fermionic NNLO QCD corrections to top-antitop production in the quark-antiquark channel, 10.1007/jhep12(2014)076
  70. Czakon Michał, Fiedler Paul, Mitov Alexander, Total Top-Quark Pair-Production Cross Section at Hadron Colliders ThroughO(αS4), 10.1103/physrevlett.110.252004
  71. M. Czakon, P. Fiedler and A. Mitov, Resolving the Tevatron top quark forward-backward asymmetry puzzle, arXiv:1411.3007 [ INSPIRE ].
  72. Gao Jun, Li Chong Sheng, Zhu Hua Xing, Top-Quark Decay at Next-to-Next-to-Leading Order in QCD, 10.1103/physrevlett.110.042001
  73. Brucherseifer Mathias, Caola Fabrizio, Melnikov Kirill, $ O\left( {\alpha_s^2} \right) $ corrections to fully-differential top quark decays, 10.1007/jhep04(2013)059
  74. Brucherseifer Mathias, Caola Fabrizio, Melnikov Kirill, On the O(αs2) corrections to b→Xueν¯ inclusive decays, 10.1016/j.physletb.2013.03.006
  75. Boughezal Radja, Caola Fabrizio, Melnikov Kirill, Petriello Frank, Schulze Markus, Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD, 10.1007/jhep06(2013)072
  76. Brucherseifer Mathias, Caola Fabrizio, Melnikov Kirill, On the NNLO QCD corrections to single-top production at the LHC, 10.1016/j.physletb.2014.06.075
  77. S. Catani and M.H. Seymour, A general algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys. B 485 (1997) 291 [Erratum ibid. B 510 (1998) 503-504] [ hep-ph/9605323 ] [ INSPIRE ].
  78. GORISHNY S. G., KATAEV A. L., LARIN S. A., SURGALADZE L. R., THREE-LOOP QCD CORRECTION TO THE CORRELATOR OF THE QUARK SCALAR CURRENTS AND Γtot(H0 → HADRONS), 10.1142/s0217732390003152
  79. S.G. Gorishnii, A.L. Kataev, S.A. Larin and L.R. Surguladze, Scheme dependence of the next to next-to-leading QCD corrections to Γtot(H 0 → hadrons) and the spurious QCD infrared fixed point, Phys. Rev. D 43 (1991) 1633 [ INSPIRE ].
  80. Baikov P. A., Chetyrkin K. G., Kühn J. H., Scalar Correlator atO(αs4), Higgs Boson Decay into Bottom Quarks, and Bounds on the Light-Quark Masses, 10.1103/physrevlett.96.012003
  81. Bern Zvi, Dixon Lance, Kosower David A., One-loop amplitudes for e+e− to four partons, 10.1016/s0550-3213(97)00703-7
  82. Kosower David A., All-order collinear behavior in gauge theories, 10.1016/s0550-3213(99)00251-5
  83. Kosower David A., Uwer Peter, One-loop splitting amplitudes in gauge theory, 10.1016/s0550-3213(99)00583-0
  84. Z. Bern, V. Del Duca, W.B. Kilgore and C.R. Schmidt, The infrared behavior of one loop QCD amplitudes at next-to-next-to leading order, Phys. Rev. D 60 (1999) 116001 [ hep-ph/9903516 ] [ INSPIRE ].
  85. Ravindran V., Higher-order threshold effects to inclusive processes in QCD, 10.1016/j.nuclphysb.2006.06.025
  86. Catani S., Trentadue L., Turnock G., Webber B.R., Resummation of large logarithms in e+e− event shape distributions, 10.1016/0550-3213(93)90271-p
  87. Catani Stefano, The singular behaviour of QCD amplitudes at two-loop order, 10.1016/s0370-2693(98)00332-3
  88. 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
  89. Cullen Gavin, van Deurzen Hans, Greiner Nicolas, Heinrich Gudrun, Luisoni Gionata, Mastrolia Pierpaolo, Mirabella Edoardo, Ossola Giovanni, Peraro Tiziano, Schlenk Johannes, von Soden-Fraunhofen Johann Felix, Tramontano Francesco, GoSam-2.0: a tool for automated one-loop calculations within the Standard Model and beyond, 10.1140/epjc/s10052-014-3001-5
Bibliographic reference Del Duca, Vittorio ; Duhr, Claude ; Somogyi, Gábor ; Tramontano, Francesco ; Trócsányi, Zoltán. Higgs boson decay into b-quarks at NNLO accuracy. In: Journal of High Energy Physics, Vol. 2015, no.4, p. 36 (2015)
Permanent URL http://hdl.handle.net/2078.1/161720