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Bootstrapping the QCD soft anomalous dimension

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  1. Polyakov A.M., Gauge fields as rings of glue, 10.1016/0550-3213(80)90507-6
  2. Aref'eva I.Ya., Quantum contour field equations, 10.1016/0370-2693(80)90529-8
  3. Dotsenko V.S., Vergeles S.N., Renormalizability of phase factors in non-abelian gauge theory, 10.1016/0550-3213(80)90103-0
  4. R.A. Brandt, F. Neri and M.-a. Sato, Renormalization of Loop Functions for All Loops, Phys. Rev. D 24 (1981) 879 [ INSPIRE ].
  5. Korchemsky G.P., Radyushkin A.V., Loop-space formalism and renormalization group for the infrared asymptotics of QCD, 10.1016/0370-2693(86)91439-5
  6. G.P. Korchemsky and A.V. Radyushkin, Infrared asymptotics of perturbative QCD: Renormalization properties of the Wilson loops in higher orders of perturbation theory, Sov. J. Nucl. Phys. 44 (1986) 877 [ INSPIRE ].
  7. Korchemsky G.P., Radyushkin A.V., Renormalization of the Wilson loops beyond the leading order, 10.1016/0550-3213(87)90277-x
  8. A.H. Mueller, On the Asymptotic Behavior of the Sudakov Form-factor, Phys. Rev. D 20 (1979) 2037 [ INSPIRE ].
  9. J.C. Collins, Algorithm to Compute Corrections to the Sudakov Form-factor, Phys. Rev. D 22 (1980) 1478 [ INSPIRE ].
  10. A. Sen, Asymptotic Behavior of the Sudakov Form-Factor in QCD, Phys. Rev. D 24 (1981) 3281 [ INSPIRE ].
  11. A. Sen, Asymptotic Behavior of the Wide Angle On-Shell Quark Scattering Amplitudes in Nonabelian Gauge Theories, Phys. Rev. D 28 (1983) 860 [ INSPIRE ].
  12. Gatheral J.G.M., Exponentiation of eikonal cross sections in nonabelian gauge theories, 10.1016/0370-2693(83)90112-0
  13. Frenkel J., Taylor J.C., Non-abelian eikonal exponentiation, 10.1016/0550-3213(84)90294-3
  14. Sterman George, Infrared divergences in perturbative QCD, 10.1063/1.33099
  15. L. Magnea and G.F. Sterman, Analytic continuation of the Sudakov form-factor in QCD, Phys. Rev. D 42 (1990) 4222 [ INSPIRE ].
  16. Korchemsky Gregory P., On near forward high energy scattering in QCD, 10.1016/0370-2693(94)90040-x
  17. Korchemskaya I.A., Korchemsky G.P., Evolution equation for gluon Regge trajectory, 10.1016/0370-2693(96)01016-7
  18. Korchemskaya I.A., Korchemsky G.P., High-energy scattering in QCD and cross singularities of Wilson loops, 10.1016/0550-3213(94)00553-q
  19. Catani S., Seymour M.H., A general algorithm for calculating jet cross sections in NLO QCD, 10.1016/s0550-3213(96)00589-5
  20. Catani Stefano, The singular behaviour of QCD amplitudes at two-loop order, 10.1016/s0370-2693(98)00332-3
  21. Sterman George, Tejeda-Yeomans Maria E., Multi-loop amplitudes and resummation, 10.1016/s0370-2693(02)03100-3
  22. Dixon Lance J, Magnea Lorenzo, Sterman George, Universal structure of subleading infrared poles in gauge theory amplitudes, 10.1088/1126-6708/2008/08/022
  23. Kidonakis Nikolaos, Oderda Gianluca, Sterman George, Evolution of color exchange in QCD hard scattering, 10.1016/s0550-3213(98)00441-6
  24. Bonciani Roberto, Catani Stefano, Mangano Michelangelo L., Nason Paolo, Sudakov resummation of multiparton QCD cross sections, 10.1016/j.physletb.2003.09.068
  25. Dokshitzer Yu.L, Marchesini Giuseppe, Soft gluons at large angles in hadron collisions, 10.1088/1126-6708/2006/01/007
  26. Aybat S. Mert, Dixon Lance J., Sterman George, Two-loop soft anomalous dimension matrix and resummation at next-to-next-to-leading poles, 10.1103/physrevd.74.074004
  27. Gardi Einan, Magnea Lorenzo, Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes, 10.1088/1126-6708/2009/03/079
  28. Becher Thomas, Neubert Matthias, Infrared Singularities of Scattering Amplitudes in Perturbative QCD, 10.1103/physrevlett.102.162001
  29. Becher Thomas, Neubert Matthias, On the structure of infrared singularities of gauge-theory amplitudes, 10.1088/1126-6708/2009/06/081
  30. E. Gardi and L. Magnea, Infrared singularities in QCD amplitudes, Nuovo Cim. C32N5-6 (2009) 137 [ arXiv:0908.3273 ] [ INSPIRE ].
  31. Dixon Lance J., Matter dependence of the three-loop soft-anomalous-dimension matrix, 10.1103/physrevd.79.091501
  32. Dixon Lance J., Gardi Einan, Magnea Lorenzo, On soft singularities at three loops and beyond, 10.1007/jhep02(2010)081
  33. Del Duca Vittorio, Duhr Claude, Gardi Einan, Magnea Lorenzo, White Chris D., Infrared approach to Reggeization, 10.1103/physrevd.85.071104
  34. Del Duca Vittorio, Duhr Claude, Gardi Einan, Magnea Lorenzo, White Chris D., The infrared structure of gauge theory amplitudes in the high-energy limit, 10.1007/jhep12(2011)021
  35. Caron-Huot Simon, When does the gluon reggeize?, 10.1007/jhep05(2015)093
  36. Ahrens Valentin, Neubert Matthias, Vernazza Leonardo, Structure of infrared singularities of gauge-theory amplitudes at three and four loops, 10.1007/jhep09(2012)138
  37. Naculich Stephen G., Nastase Horatiu, Schnitzer Howard J., All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes, 10.1007/jhep04(2013)114
  38. Erdoğan Ozan, Sterman George, Ultraviolet divergences and factorization for coordinate-space amplitudes, 10.1103/physrevd.91.065033
  39. Gehrmann T., Glover E. W. N., Huber T., Ikizlerli N., Studerus C., Calculation of the quark and gluon form factors to three loops in QCD, 10.1007/jhep06(2010)094
  40. Kidonakis Nikolaos, Two-Loop Soft Anomalous Dimensions and Next-to-Next-to-Leading-Logarithm Resummation for Heavy Quark Production, 10.1103/physrevlett.102.232003
  41. Mitov Alexander, Sterman George, Sung Ilmo, The massive soft anomalous dimension matrix at two loops, 10.1103/physrevd.79.094015
  42. Becher Thomas, Neubert Matthias, Infrared singularities of QCD amplitudes with massive partons, 10.1103/physrevd.79.125004
  43. M. Beneke, P. Falgari and C. Schwinn, Soft radiation in heavy-particle pair production: all-order colour structure and two-loop anomalous dimension, Nucl. Phys. B 828 (2010) 69 [ arXiv:0907.1443 ] [ INSPIRE ].
  44. Czakon Michal, Mitov Alexander, Sterman George, Threshold resummation for top-pair hadroproduction to next-to-next-to-leading log, 10.1103/physrevd.80.074017
  45. Ferroglia Andrea, Neubert Matthias, Pecjak Ben D, Yang Li Lin, Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories, 10.1088/1126-6708/2009/11/062
  46. Chiu Jui-yu, Fuhrer Andreas, Kelley Randall, Manohar Aneesh V., Factorization structure of gauge theory amplitudes and application to hard scattering processes at the LHC, 10.1103/physrevd.80.094013
  47. Mitov Alexander, Sterman George, Sung Ilmo, Computation of the soft anomalous dimension matrix in coordinate space, 10.1103/physrevd.82.034020
  48. Gardi Einan, From webs to polylogarithms, 10.1007/jhep04(2014)044
  49. Falcioni Giulio, Gardi Einan, Harley Mark, Magnea Lorenzo, White Chris D., Multiple gluon exchange webs, 10.1007/jhep10(2014)010
  50. Henn Johannes M., Smirnov Alexander V., Smirnov Vladimir A., Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation, 10.1007/jhep07(2013)128
  51. Dukes M., Gardi E., McAslan H., Scott D. J., White C. D., Webs and posets, 10.1007/jhep01(2014)024
  52. Dukes Mark, Gardi Einan, Steingrímsson Einar, White Chris D., Web worlds, web-colouring matrices, and web-mixing matrices, 10.1016/j.jcta.2013.02.001
  53. Gardi Einan, Laenen Eric, Stavenga Gerben, White Chris D., Webs in multiparton scattering using the replica trick, 10.1007/jhep11(2010)155
  54. Gardi Einan, White Chris D., General properties of multiparton webs: proofs from combinatorics, 10.1007/jhep03(2011)079
  55. Gardi Einan, Smillie Jennifer M., White Chris D., On the renormalization of multiparton webs, 10.1007/jhep09(2011)114
  56. Gardi Einan, Smillie Jennifer M., White Chris D., The non-Abelian exponentiation theorem for multiple Wilson lines, 10.1007/jhep06(2013)088
  57. Laenen Eric, Stavenga Gerben, White Chris D, Path integral approach to eikonal and next-to-eikonal exponentiation, 10.1088/1126-6708/2009/03/054
  58. Almelid Øyvind, Duhr Claude, Gardi Einan, Three-Loop Corrections to the Soft Anomalous Dimension in Multileg Scattering, 10.1103/physrevlett.117.172002
  59. F.C.S. Brown, Single-valued multiple polylogarithms in one variable, C.R. Acad. Sci. Paris Ser. I (2004) 338.
  60. REMIDDI E., VERMASEREN J. A. M., HARMONIC POLYLOGARITHMS, 10.1142/s0217751x00000367
  61. Dixon Lance J., Duhr Claude, Pennington Jeffrey, Single-valued harmonic polylogarithms and the multi-Regge limit, 10.1007/jhep10(2012)074
  62. Dixon Lance J., Drummond James M., Henn Johannes M., Bootstrapping the three-loop hexagon, 10.1007/jhep11(2011)023
  63. Dixon Lance J., Drummond James M., Henn Johannes M., Analytic result for the two-loop six-point NMHV amplitude in $ \mathcal{N} = {4} $ super Yang-Mills theory, 10.1007/jhep01(2012)024
  64. Dixon Lance J., Drummond James M., von Hippel Matt, Pennington Jeffrey, Hexagon functions and the three-loop remainder function, 10.1007/jhep12(2013)049
  65. Dixon Lance J., Drummond James M., Duhr Claude, Pennington Jeffrey, The four-loop remainder function and multi-Regge behavior at NNLLA in planar $ \mathcal{N} $ = 4 super-Yang-Mills theory, 10.1007/jhep06(2014)116
  66. Dixon Lance J., von Hippel Matt, Bootstrapping an NMHV amplitude through three loops, 10.1007/jhep10(2014)065
  67. Dixon Lance J., von Hippel Matt, McLeod Andrew J., The four-loop six-gluon NMHV ratio function, 10.1007/jhep01(2016)053
  68. Caron-Huot Simon, Dixon Lance J., McLeod Andrew, von Hippel Matt, Bootstrapping a Five-Loop Amplitude Using Steinmann Relations, 10.1103/physrevlett.117.241601
  69. Drummond J. M., Papathanasiou G., Spradlin M., A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon, 10.1007/jhep03(2015)072
  70. Dixon Lance J., Drummond James, Harrington Thomas, McLeod Andrew J., Papathanasiou Georgios, Spradlin Marcus, Heptagons from the Steinmann cluster bootstrap, 10.1007/jhep02(2017)137
  71. Del Duca Vittorio, Falcioni Giulio, Magnea Lorenzo, Vernazza Leonardo, High-energy QCD amplitudes at two loops and beyond, 10.1016/j.physletb.2014.03.033
  72. Del Duca Vittorio, Falcioni Giulio, Magnea Lorenzo, Vernazza Leonardo, Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy, 10.1007/jhep02(2015)029
  73. Caron-Huot Simon, Gardi Einan, Vernazza Leonardo, Two-parton scattering in the high-energy limit, 10.1007/jhep06(2017)016
  74. E. Gardi, Ø. Almelid and C. Duhr, Long-distance singularities in multi-leg scattering amplitudes, PoS LL2016 (2016) 058 [ arXiv:1606.05697 ] [ INSPIRE ].
  75. Moch S., Vermaseren J.A.M., Vogt A., The three-loop splitting functions in QCD: the non-singlet case, 10.1016/j.nuclphysb.2004.03.030
  76. Grozin Andrey, Henn Johannes M., Korchemsky Gregory P., Marquard Peter, Three Loop Cusp Anomalous Dimension in QCD, 10.1103/physrevlett.114.062006
  77. Moch S., Vermaseren J.A.M., Vogt A., Three-loop results for quark and gluon form factors, 10.1016/j.physletb.2005.08.067
  78. R.H. Boels, T. Huber and G. Yang, The four-loop non-planar cusp anomalous dimension in N = 4 SYM, arXiv:1705.03444 [ INSPIRE ].
  79. Brown Francis C. S., Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$, 10.24033/asens.2099
  80. Chen Kuo-Tsai, Iterated path integrals, 10.1090/s0002-9904-1977-14320-6
  81. Goncharov A. B., Multiple polylogarithms, cyclotomy and modular complexes, 10.4310/mrl.1998.v5.n4.a7
  82. Goncharov A. B., Galois symmetries of fundamental groupoids and noncommutative geometry, 10.1215/s0012-7094-04-12822-2
  83. A.B. Goncharov, A simple construction of Grassmannian polylogarithms, arXiv:0908.2238 [ INSPIRE ].
  84. Duhr Claude, Gangl Herbert, Rhodes John R., From polygons and symbols to polylogarithmic functions, 10.1007/jhep10(2012)075
  85. F. Brown, On the decomposition of motivic multiple zeta values, arXiv:1102.1310 [ INSPIRE ].
  86. Duhr Claude, Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes, 10.1007/jhep08(2012)043
  87. F.C.S. Brown, Notes on motivic periods, arXiv:1512.06410 [ INSPIRE ].
  88. Gaiotto Davide, Maldacena Juan, Sever Amit, Vieira Pedro, Pulling the straps of polygons, 10.1007/jhep12(2011)011
  89. Abreu Samuel, Britto Ruth, Grönqvist Hanna, Cuts and coproducts of massive triangle diagrams, 10.1007/jhep07(2015)111
  90. Chavez Federico, Duhr Claude, Three-mass triangle integrals and single-valued polylogarithms, 10.1007/jhep11(2012)114
  91. Schnetz Oliver, Graphical functions and single-valued multiple polylogarithms, 10.4310/cntp.2014.v8.n4.a1
  92. Drummond James, Duhr Claude, Eden Burkhard, Heslop Paul, Pennington Jeffrey, Smirnov Vladimir A., Leading singularities and off-shell conformal integrals, 10.1007/jhep08(2013)133
  93. Del Duca Vittorio, Dixon Lance J., Duhr Claude, Pennington Jeffrey, The BFKL equation, Mueller-Navelet jets and single-valued harmonic polylogarithms, 10.1007/jhep02(2014)086
  94. Del Duca Vittorio, Druc Stefan, Drummond James, Duhr Claude, Dulat Falko, Marzucca Robin, Papathanasiou Georgios, Verbeek Bram, Multi-Regge kinematics and the moduli space of Riemann spheres with marked points, 10.1007/jhep08(2016)152
  95. Broedel Johannes, Sprenger Martin, Torres Orjuela Alejandro, Towards single-valued polylogarithms in two variables for the seven-point remainder function in multi-Regge kinematics, 10.1016/j.nuclphysb.2016.12.016
  96. O. Schnetz, Numbers and Functions in Quantum Field Theory, arXiv:1606.08598 [ INSPIRE ].
  97. V. Del Duca, C. Duhr, R. Marzucca and B. Verbeek, The analytic structure and the transcendental weight of the BFKL ladder at NLL accuracy, arXiv:1705.10163 [ INSPIRE ].
  98. F.C.S. Brown, Single-valued hyperlogarithms and unipotent differential equations, .
  99. F. Brown, Single-valued Motivic Periods and Multiple Zeta Values, SIGMA 2 (2014) e25 [ arXiv:1309.5309 ] [ INSPIRE ].
  100. Chien Yang-Ting, Schwartz Matthew D., Simmons-Duffin David, Stewart Iain W., Jet physics from static charges in AdS space, 10.1103/physrevd.85.045010
  101. Cheung Clifford, de la Fuente Anton, Sundrum Raman, 4D scattering amplitudes and asymptotic symmetries from 2D CFT, 10.1007/jhep01(2017)112
  102. Ø. Almelid, The Three-Loop Soft Anomalous Dimension of Massless Multileg Scattering, Ph.D. Thesis, University of Edinburgh, Edinburgh U.K. (2016).
  103. Ø. Almelid, C. Duhr and E. Gardi, in preparation.
  104. Bern Zvi, Dixon Lance J., Smirnov Vladimir A., Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, 10.1103/physrevd.72.085001
  105. Del Duca Vittorio, Duhr Claude, Smirnov Vladimir A., An analytic result for the two-loop hexagon Wilson loop in $ \mathcal{N} = 4 $ SYM, 10.1007/jhep03(2010)099
  106. Del Duca Vittorio, Duhr Claude, Smirnov Vladimir A., The two-loop hexagon Wilson loop in $ \mathcal{N} = 4 $ SYM, 10.1007/jhep05(2010)084
  107. Goncharov A. B., Spradlin M., Vergu C., Volovich A., Classical Polylogarithms for Amplitudes and Wilson Loops, 10.1103/physrevlett.105.151605
  108. Golden John, Spradlin Marcus, An analytic result for the two-loop seven-point MHV amplitude in N $$ \mathcal{N} $$ = 4 SYM, 10.1007/jhep08(2014)154
  109. Henn J. M., Mistlberger B., Four-Gluon Scattering at Three Loops, Infrared Structure, and the Regge Limit, 10.1103/physrevlett.117.171601
  110. Arkani-Hamed N., Bourjaily J., Cachazo F., Trnka J., Local integrals for planar scattering amplitudes, 10.1007/jhep06(2012)125
  111. N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo, A.B. Goncharov, A. Postnikov and J. Trnka, Scattering Amplitudes and the Positive Grassmannian, Cambridge University Press, Cambridge U.K. (2016).
  112. Bern Zvi, Herrmann Enrico, Litsey Sean, Stankowicz James, Trnka Jaroslav, Logarithmic singularities and maximally supersymmetric amplitudes, 10.1007/jhep06(2015)202
  113. Bern Zvi, Herrmann Enrico, Litsey Sean, Stankowicz James, Trnka Jaroslav, Evidence for a nonplanar amplituhedron, 10.1007/jhep06(2016)098
  114. Bern Z., Carrasco J. J. M., Johansson H., New relations for gauge-theory amplitudes, 10.1103/physrevd.78.085011
  115. Radford David E, A natural ring basis for the shuffle algebra and an application to group schemes, 10.1016/0021-8693(79)90171-6
  116. R.J. Eden, P.V. Landshoff, D.I. Olive and J.C. Polkinghorne, The analytic S-matrix, Cambridge University Press, Cambridge U.K. (1966).
  117. I. Balitsky, High-energy QCD and Wilson lines, hep-ph/0101042 [ INSPIRE ].
  118. V. Del Duca, G. Falcioni, L. Magnea and L. Vernazza, Beyond Reggeization for two- and three-loop QCD amplitudes, PoS(RADCOR 2013)046 [ arXiv:1312.5098 ] [ INSPIRE ].
  119. S. Caron-Huot and M. Herranen, High-energy evolution to three loops, arXiv:1604.07417 [ INSPIRE ].
  120. Anastasiou C., Glover E.W.N., Oleari C., Tejeda-Yeomans M.E., Two-loop QCD corrections to the scattering of massless distinct quarks, 10.1016/s0550-3213(01)00079-7
  121. Anastasiou C., Glover E.W.N., Oleari C., Tejeda-Yeomans M.E., Two-loop QCD corrections to massless identical quark scattering, 10.1016/s0550-3213(01)00080-3
  122. Anastasiou C., Glover E.W.N., Oleari C., Tejeda-Yeomans M.E., Two-loop QCD corrections to massless quark–gluon scattering, 10.1016/s0550-3213(01)00195-x
  123. Glover E.W.N., Oleari C., Tejeda-Yeomans M.E., Two-loop QCD corrections to gluon–gluon scattering, 10.1016/s0550-3213(01)00210-3
  124. Bern Zvi, Freitas Abilio De, Dixon Lance, Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory, 10.1088/1126-6708/2002/03/018
  125. Freitas Abilio De, Bern Zvi, Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory, 10.1088/1126-6708/2004/09/039
  126. Bern Zvi, Czakon Michael, Dixon Lance J., Kosower David A., Smirnov Vladimir A., Four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory, 10.1103/physrevd.75.085010
  127. Naculich Stephen G., Nastase Horatiu, Schnitzer Howard J., Two-loop graviton scattering relation and IR behavior in supergravity, 10.1016/j.nuclphysb.2008.07.001
  128. Naculich Stephen G, Nastase Horatiu, Schnitzer Howard J, Subleading-color contributions to gluon-gluon scattering in 𝒩 = 4 SYM theory and relations to 𝒩 = 8 supergravity, 10.1088/1126-6708/2008/11/018
  129. Naculich Stephen G, Schnitzer Howard J, IR divergences and Regge limits of subleading-color contributions to the four-gluon amplitude in 𝒩 = 4 SYM theory, 10.1088/1126-6708/2009/10/048
  130. Catani Stefano, de Florian Daniel, Rodrigo Germán, Space-like (vs. time-like) collinear limits in QCD: is factorization violated?, 10.1007/jhep07(2012)026
  131. Forshaw Jeffrey R., Seymour Michael H., Siódmok Andrzej, On the breaking of collinear factorization in QCD, 10.1007/jhep11(2012)066
  132. Bern Zvi, Del Duca Vittorio, Kilgore William B., Schmidt Carl R., Infrared behavior of one-loop QCD amplitudes at next-to-next-to-leading order, 10.1103/physrevd.60.116001
  133. Kosower David A., All-order collinear behavior in gauge theories, 10.1016/s0550-3213(99)00251-5
  134. I. Feige and M.D. Schwartz, Hard-Soft-Collinear Factorization to All Orders, Phys. Rev. D 90 (2014) 105020 [ arXiv:1403.6472 ] [ INSPIRE ].
  135. Catani Stefano, de Florian Daniel, Rodrigo Germán, The triple collinear limit of one-loop QCD amplitudes, 10.1016/j.physletb.2004.02.039
  136. C. Duhr, E. Gardi and S. Jaskiewicz, in preparation.
  137. Catani Stefano, Grazzini Massimiliano, The soft-gluon current at one-loop order, 10.1016/s0550-3213(00)00572-1
  138. Duhr Claude, Gehrmann Thomas, The two-loop soft current in dimensional regularization, 10.1016/j.physletb.2013.10.063
  139. Li Ye, Zhu Hua Xing, Single soft gluon emission at two loops, 10.1007/jhep11(2013)080
  140. L.J. Dixon and H.X. Zhu, Soft factorization of gauge theory amplitudes beyond one loop, talk at Amplitudes 2015, Zurich Switzerland (2015), .
Bibliographic reference Duhr, Claude ; et. al. Bootstrapping the QCD soft anomalous dimension. In: Journal of High Energy Physics, Vol. 73, no., p.
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