메뉴 건너뛰기




Volumn 2013, Issue 10, 2013, Pages

Massive planar and non-planar double box integrals for light Nf contributions to gg → tt̄

Author keywords

Hadronic colliders; Qcd phenomenology

Indexed keywords


EID: 84890359112     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP10(2013)037     Document Type: Article
Times cited : (38)

References (92)
  • 1
    • 84866850755 scopus 로고    scopus 로고
    • Percent level precision physics at the Tevatron: First genuine NNLO QCD corrections to qq̄ → tt + X
    • arXiv: 1204. 5201
    • P. Barnreuther, M. Czakon and A. Mitov, Percent level precision physics at the Tevatron: first genuine NNLO QCD corrections to qq̄ → tt + X, Phys. Rev. Lett. 109 (2012) 132001 [arXiv: 1204. 5201].
    • (2012) Phys. Rev. Lett. , vol.109 , pp. 132001
    • Barnreuther, P.1    Czakon, M.2    Mitov, A.3
  • 2
    • 84872356886 scopus 로고    scopus 로고
    • NNLO corrections to top-pair production at hadron colliders: The all-fermionic scattering channels
    • arXiv: 1207. 0236
    • M. Czakon and A. Mitov, NNLO corrections to top-pair production at hadron colliders: the all-fermionic scattering channels, JHEP 12 (2012) 054 [arXiv: 1207. 0236].
    • (2012) JHEP , vol.12 , pp. 054
    • Czakon, M.1    Mitov, A.2
  • 3
    • 84872287474 scopus 로고    scopus 로고
    • NNLO corrections to top pair production at hadron colliders: The quark-gluon reaction
    • arXiv: 1210. 6832
    • M. Czakon and A. Mitov, NNLO corrections to top pair production at hadron colliders: the quark-gluon reaction, JHEP 01 (2013) 080 [arXiv: 1210. 6832].
    • (2013) JHEP , vol.1 , pp. 080
    • Czakon, M.1    Mitov, A.2
  • 5
    • 49749123810 scopus 로고    scopus 로고
    • Two-loop fermionic corrections to heavy-quark pair production: The quark-antiquark channel
    • arXiv: 0806. 2301
    • R. Bonciani, A. Ferroglia, T. Gehrmann, D. Maître and C. Studerus, Two-loop fermionic corrections to heavy-quark pair production: the quark-antiquark channel, JHEP 07 (2008) 129 [arXiv: 0806. 2301].
    • (2008) JHEP , vol.7 , pp. 129
    • Bonciani, R.1    Ferroglia, A.2    Gehrmann, T.3    Maître, D.4    Studerus, C.5
  • 6
    • 70350020200 scopus 로고    scopus 로고
    • Two-loop planar corrections to heavy-quark pair production in the quark-antiquark channel
    • arXiv: 0906. 3671
    • R. Bonciani, A. Ferroglia, T. Gehrmann and C. Studerus, Two-loop planar corrections to heavy-quark pair production in the quark-antiquark channel, JHEP 08 (2009) 067 [arXiv: 0906. 3671].
    • (2009) JHEP , vol.8 , pp. 067
    • Bonciani, R.1    Ferroglia, A.2    Gehrmann, T.3    Studerus, C.4
  • 7
    • 80053144264 scopus 로고    scopus 로고
    • Two-loop leading color corrections to heavy-quark pair production in the gluon fusion channel
    • arXiv: 1011.6661
    • R. Bonciani, A. Ferroglia, T. Gehrmann, A. Manteuffel and C. Studerus, Two-loop leading color corrections to heavy-quark pair production in the gluon fusion channel, JHEP 01 (2011) 102 [arXiv: 1011.6661].
    • (2011) JHEP , vol.1 , pp. 102
    • Bonciani, R.1    Ferroglia, A.2    Gehrmann, T.3    Manteuffel, A.4    Studerus, C.5
  • 8
    • 80053147995 scopus 로고    scopus 로고
    • The real radiation antenna function for S → QQ̄qq̄ atNNLO QCD
    • arXiv: 1105.0530
    • W. Bernreuther, C. Bogner and O. Dekkers, The real radiation antenna function for S → QQ̄qq̄ atNNLO QCD, JHEP 06 (2011) 032 [arXiv: 1105.0530].
    • (2011) JHEP , vol.6 , pp. 032
    • Bernreuther, W.1    Bogner, C.2    Dekkers, O.3
  • 9
    • 84870450000 scopus 로고    scopus 로고
    • Double real radiation corrections to tt̄ production at the LHC: The all-fermion processes
    • arXiv: 1112.4736
    • G. Abelof and A. Gehrmann-De Ridder, Double real radiation corrections to tt̄ production at the LHC: the all-fermion processes, JHEP 04 (2012) 076 [arXiv: 1112.4736].
    • (2012) JHEP , vol.4 , pp. 076
    • Abelof, G.1    Gehrmann-De Ridder, A.2
  • 10
    • 84870450000 scopus 로고    scopus 로고
    • Double real radiation corrections to tt̄ production at the LHC: The gg → t̄tqq̄ channel
    • arXiv: 1207.6546
    • G. Abelof and A. Gehrmann-De Ridder, Double real radiation corrections to tt̄ production at the LHC: the gg → t̄tqq̄ channel, JHEP 11 (2012) 074 [arXiv: 1207.6546].
    • (2012) JHEP , vol.11 , pp. 074
    • Abelof, G.1    Gehrmann-De Ridder, A.2
  • 11
    • 84873646318 scopus 로고    scopus 로고
    • Antenna subtraction with massive fermions at NNLO: Double real initial-final configurations
    • arXiv: 1210. 5059
    • G. Abelof, O. Dekkers and A. Gehrmann-De Ridder, Antenna subtraction with massive fermions at NNLO: double real initial-final configurations, JHEP 12 (2012) 107 [arXiv: 1210. 5059].
    • (2012) JHEP , vol.12 , pp. 107
    • Abelof, G.1    Dekkers, O.2    Gehrmann-De Ridder, A.3
  • 12
    • 43949090180 scopus 로고    scopus 로고
    • s) results for heavy quark pair production in quark-antiquark collisions: The one-loop squared contributions
    • s) results for heavy quark pair production in quark-antiquark collisions: the one-loop squared contributions, Phys. Rev. D 77 (2008) 094011
    • (2008) Phys. Rev. D , vol.77 , pp. 094011
    • Korner, J.1    Merebashvili, Z.2    Rogal, M.3
  • 13
    • 84862289710 scopus 로고    scopus 로고
    • Erratum
    • arXiv: 0802. 0106
    • [Erratum Phys. Rev. D 85 (2012) 119904] [arXiv: 0802. 0106].
    • (2012) Phys. Rev. D , vol.85 , pp. 119904
  • 15
    • 57749181313 scopus 로고    scopus 로고
    • The one-loop gluon amplitude for heavy-quark production at NNLO
    • arXiv:0809.1355
    • C. Anastasiou and S. M. Aybat, The one-loop gluon amplitude for heavy-quark production at NNLO, Phys. Rev. D 78 (2008) 114006 [arXiv:0809.1355].
    • (2008) Phys. Rev. D , vol.78 , pp. 114006
    • Anastasiou, C.1    Aybat, S.M.2
  • 16
    • 83555163864 scopus 로고    scopus 로고
    • The singular behavior of one-loop massive QCD amplitudes with one external soft gluon
    • arXiv: 1107.4384
    • I. Bierenbaum, M. Czakon and A. Mitov, The singular behavior of one-loop massive QCD amplitudes with one external soft gluon, Nucl. Phys. B 856 (2012) 228 [arXiv: 1107.4384].
    • (2012) Nucl. Phys. B , vol.856 , pp. 228
    • Bierenbaum, I.1    Czakon, M.2    Mitov, A.3
  • 17
    • 84883249096 scopus 로고    scopus 로고
    • Top quark pairs at two loops and Reduze 2
    • arXiv: 1210.1436
    • A. von Manteuffel and C. Studerus, Top quark pairs at two loops and Reduze 2, PoS (LL2012) 059 [arXiv: 1210.1436].
    • PoS (LL2012) , pp. 059
    • Von Manteuffel, A.1    Studerus, C.2
  • 18
    • 84892645218 scopus 로고    scopus 로고
    • An analytical solution for a non-planar massive double box diagram
    • London U. K
    • A. von Manteuffel and C. Studerus, An analytical solution for a non-planar massive double box diagram, talk given at ACAT, London U. K. (2011).
    • (2011) ACAT
    • Von Manteuffel, A.1    Studerus, C.2
  • 19
    • 84883239313 scopus 로고    scopus 로고
    • Massive non-planar two-loop four-point integrals with SecDec. 2.1
    • arXiv: 1303.1157
    • S. Borowka and G. Heinrich, Massive non-planar two-loop four-point integrals with SecDec. 2.1, Comput. Phys. Commun. 184 (2013) 2552 [arXiv: 1303.1157].
    • (2013) Comput. Phys. Commun. , vol.184 , pp. 2552
    • Borowka, S.1    Heinrich, G.2
  • 20
    • 79955555731 scopus 로고    scopus 로고
    • SecDec: A general program for sector decomposition
    • arXiv: 1011.5493
    • J. Carter and G. Heinrich, SecDec: a general program for sector decomposition, Comput. Phys. Commun. 182 (2011) 1566 [arXiv: 1011.5493].
    • (2011) Comput. Phys. Commun. , vol.182 , pp. 1566
    • Carter, J.1    Heinrich, G.2
  • 21
    • 84868201502 scopus 로고    scopus 로고
    • Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec. 2.0
    • arXiv: 1204.4152
    • S. Borowka, J. Carter and G. Heinrich, Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec. 2.0, Comput. Phys. Commun. 184 (2013) 396 [arXiv: 1204.4152].
    • (2013) Comput. Phys. Commun. , vol.184 , pp. 396
    • Borowka, S.1    Carter, J.2    Heinrich, G.3
  • 22
    • 0042910977 scopus 로고
    • Differential equations method: New technique for massive Feynman diagrams calculation
    • A. Kotikov, Differential equations method: new technique for massive Feynman diagrams calculation, Phys. Lett. B 254 (1991) 158.
    • (1991) Phys. Lett. B , vol.254 , pp. 158
    • Kotikov, A.1
  • 23
    • 0542448411 scopus 로고
    • Differential equations method: The calculation of vertex type Feynman diagrams
    • A. Kotikov, Differential equations method: the calculation of vertex type Feynman diagrams, Phys. Lett. B 259 (1991) 314.
    • (1991) Phys. Lett. B , vol.259 , pp. 314
    • Kotikov, A.1
  • 24
    • 0042410077 scopus 로고
    • Differential equation method: The calculation of N point Feynman diagrams
    • A. Kotikov, Differential equation method: the calculation of N point Feynman diagrams, Phys. Lett. B 267 (1991) 123.
    • (1991) Phys. Lett. B , vol.267 , pp. 123
    • Kotikov, A.1
  • 25
    • 0040054123 scopus 로고    scopus 로고
    • Differential equations for Feynman graph amplitudes
    • hep-th/9711188
    • E. Remiddi, Differential equations for Feynman graph amplitudes, Nuovo Cim. A 110 (1997) 1435 [hep-th/9711188].
    • (1997) Nuovo Cim. A , vol.110 , pp. 1435
    • Remiddi, E.1
  • 26
    • 33744728081 scopus 로고    scopus 로고
    • Master equations for master amplitudes
    • hep-th/9807119
    • M. Caffo, H. Czyz, S. Laporta and E. Remiddi, Master equations for master amplitudes, Acta Phys. Polon. B 29 (1998) 2627 [hep-th/9807119].
    • (1998) Acta Phys. Polon. B , vol.29 , pp. 2627
    • Caffo, M.1    Czyz, H.2    Laporta, S.3    Remiddi, E.4
  • 27
    • 0041173465 scopus 로고    scopus 로고
    • The master differential equations for the two loop sunrise selfmass amplitudes
    • hep-th/9805118
    • M. Caffo, H. Czyz, S. Laporta and E. Remiddi, The master differential equations for the two loop sunrise selfmass amplitudes, Nuovo Cim. A 111 (1998) 365 [hep-th/9805118].
    • (1998) Nuovo Cim. A , vol.111 , pp. 365
    • Caffo, M.1    Czyz, H.2    Laporta, S.3    Remiddi, E.4
  • 28
    • 0000290661 scopus 로고    scopus 로고
    • Differential equations for two loop four point functions
    • hep-ph/9912329
    • T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions, Nucl. Phys. B 580 (2000) 485 [hep-ph/9912329].
    • (2000) Nucl. Phys. B , vol.580 , pp. 485
    • Gehrmann, T.1    Remiddi, E.2
  • 29
    • 35148834667 scopus 로고    scopus 로고
    • Feynman diagrams and differential equations
    • arXiv: 0707.4037
    • M. Argeri and P. Mastrolia, Feynman diagrams and differential equations, Int. J. Mod. Phys. A 22 (2007) 4375 [arXiv: 0707.4037].
    • (2007) Int. J. Mod. Phys. A , vol.22 , pp. 4375
    • Argeri, M.1    Mastrolia, P.2
  • 30
    • 84884550277 scopus 로고    scopus 로고
    • Two-loop master integrals for qq̄ → VV: The planar topologies
    • arXiv: 1306.6344
    • T. Gehrmann, L. Tancredi and E. Weihs, Two-loop master integrals for qq̄ → VV: the planar topologies, JHEP 08 (2013) 070 [arXiv: 1306.6344].
    • (2013) JHEP , vol.8 , pp. 070
    • Gehrmann, T.1    Tancredi, L.2    Weihs, E.3
  • 31
    • 0032219342 scopus 로고    scopus 로고
    • Multiple polylogarithms, cyclotomy and modular complexes
    • arXiv: 1105.2076
    • A. B. Goncharov, Multiple polylogarithms, cyclotomy and modular complexes, Math. Res. Lett. 5 (1998) 497 [arXiv: 1105.2076].
    • (1998) Math. Res. Lett. , vol.5 , pp. 497
    • Goncharov, A.B.1
  • 32
    • 22544437289 scopus 로고    scopus 로고
    • Galois symmetries of fundamental groupoids and noncommutative geometry
    • math/0208144
    • A. Goncharov, Galois symmetries of fundamental groupoids and noncommutative geometry, Duke Math. J. 128 (2005) 209 [math/0208144].
    • (2005) Duke Math. J. , vol.128 , pp. 209
    • Goncharov, A.1
  • 33
    • 0000377345 scopus 로고    scopus 로고
    • * primitives of algebras of the sixth root of unity
    • hep-th/9803091
    • * primitives of algebras of the sixth root of unity, Eur. Phys. J. C 8 (1999) 311 [hep-th/9803091].
    • (1999) Eur. Phys. J. C , vol.8 , pp. 311
    • Broadhurst, D.J.1
  • 34
    • 0034688576 scopus 로고    scopus 로고
    • Harmonic polylogarithms
    • hep-ph/9905237
    • E. Remiddi and J. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15 (2000) 725 [hep-ph/9905237].
    • (2000) Int. J. Mod. Phys. A , vol.15 , pp. 725
    • Remiddi, E.1    Vermaseren, J.2
  • 35
    • 0035976527 scopus 로고    scopus 로고
    • Numerical evaluation of harmonic polylogarithms
    • hep-ph/0107173
    • T. Gehrmann and E. Remiddi, Numerical evaluation of harmonic polylogarithms, Comput. Phys. Commun. 141 (2001) 296 [hep-ph/0107173].
    • (2001) Comput. Phys. Commun. , vol.141 , pp. 296
    • Gehrmann, T.1    Remiddi, E.2
  • 36
    • 17044374650 scopus 로고    scopus 로고
    • Numerical evaluation of multiple polylogarithms
    • hep-ph/0410259
    • J. Vollinga and S. Weinzierl, Numerical evaluation of multiple polylogarithms, Comput. Phys. Commun. 167 (2005) 177 [hep-ph/0410259].
    • (2005) Comput. Phys. Commun. , vol.167 , pp. 177
    • Vollinga, J.1    Weinzierl, S.2
  • 37
    • 31144448070 scopus 로고    scopus 로고
    • HPL, a Mathematica implementation of the harmonic polylogarithms
    • hep-ph/0507152
    • D. Maître, HPL, a Mathematica implementation of the harmonic polylogarithms, Comput. Phys. Commun. 174 (2006) 222 [hep-ph/0507152].
    • (2006) Comput. Phys. Commun. , vol.174 , pp. 222
    • Maître, D.1
  • 38
    • 84857820582 scopus 로고    scopus 로고
    • Extension of HPL to complex arguments
    • hep-ph/0703052
    • D. Maître, Extension of HPL to complex arguments, Comput. Phys. Commun. 183 (2012) 846 [hep-ph/0703052].
    • (2012) Comput. Phys. Commun. , vol.183 , pp. 846
    • Maître, D.1
  • 40
    • 0035821473 scopus 로고    scopus 로고
    • * → 3 jets: The planar topologies
    • hep-ph/0008287
    • * → 3 jets: the planar topologies, Nucl. Phys. B 601 (2001) 248 [hep-ph/0008287].
    • (2001) Nucl. Phys. B , vol.601 , pp. 248
    • Gehrmann, T.1    Remiddi, E.2
  • 41
    • 0036531991 scopus 로고    scopus 로고
    • Numerical evaluation of two-dimensional harmonic polylogarithms
    • hep-ph/0111255
    • T. Gehrmann and E. Remiddi, Numerical evaluation of two-dimensional harmonic polylogarithms, Comput. Phys. Commun. 144 (2002) 200 [hep-ph/0111255].
    • (2002) Comput. Phys. Commun. , vol.144 , pp. 200
    • Gehrmann, T.1    Remiddi, E.2
  • 43
    • 80055111894 scopus 로고    scopus 로고
    • Harmonic sums and polylogarithms generated by cyclotomic polynomials
    • arXiv: 1105. 6063
    • J. Ablinger, J. Blümlein and C. Schneider, Harmonic sums and polylogarithms generated by cyclotomic polynomials, J. Math. Phys. 52 (2011) 102301 [arXiv: 1105. 6063].
    • (2011) J. Math. Phys. , vol.52 , pp. 102301
    • Ablinger, J.1    Blümlein, J.2    Schneider, C.3
  • 44
    • 84883438724 scopus 로고    scopus 로고
    • Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms
    • arXiv: 1302. 0378
    • J. Ablinger, J. Blümlein and C. Schneider, Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms, J. Math. Phys. 54 (2013) 082301 [arXiv: 1302. 0378].
    • (2013) J. Math. Phys. , vol.54 , pp. 082301
    • Ablinger, J.1    Blümlein, J.2    Schneider, C.3
  • 45
    • 84868293500 scopus 로고    scopus 로고
    • From polygons and symbols to poly logarithmic functions
    • arXiv: 1110.0458
    • C. Duhr, H. Gangl and J. R. Rhodes, From polygons and symbols to poly logarithmic functions, JHEP 10 (2012) 075 [arXiv: 1110.0458].
    • (2012) JHEP , vol.10 , pp. 075
    • Duhr, C.1    Gangl, H.2    Rhodes, J.R.3
  • 47
    • 84868291395 scopus 로고    scopus 로고
    • Hopf algebras, coproducts and symbols: An application to Higgs boson amplitudes
    • arXiv: 1203.0454
    • C. Duhr, Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes, JHEP 08 (2012) 043 [arXiv: 1203.0454].
    • (2012) JHEP , vol.8 , pp. 043
    • Duhr, C.1
  • 48
    • 77957775566 scopus 로고    scopus 로고
    • Classical polylogarithms for amplitudes and Wilson loops
    • arXiv: 1006. 5703
    • A. B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Classical polylogarithms for amplitudes and Wilson loops, Phys. Rev. Lett. 105 (2010) 151605 [arXiv: 1006. 5703].
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 151605
    • Goncharov, A.B.1    Spradlin, M.2    Vergu, C.3    Volovich, A.4
  • 49
    • 81255144417 scopus 로고    scopus 로고
    • Bootstrapping the three-loop hexagon
    • arXiv: 1108.4461
    • L. J. Dixon, J. M. Drummond and J. M. Henn, Bootstrapping the three-loop hexagon, JHEP 11 (2011) 023 [arXiv: 1108.4461].
    • (2011) JHEP , vol.11 , pp. 023
    • Dixon, L.J.1    Drummond, J.M.2    Henn, J.M.3
  • 50
    • 84857344943 scopus 로고    scopus 로고
    • Analytic result for the two-loop six-point NMHV amplitude in N = 4 super Yang-Mills theory
    • arXiv: 1111.1704
    • L. J. Dixon, J. M. Drummond and J. M. Henn, Analytic result for the two-loop six-point NMHV amplitude in N = 4 super Yang-Mills theory, JHEP 01 (2012) 024 [arXiv: 1111.1704].
    • (2012) JHEP , vol.1 , pp. 024
    • Dixon, L.J.1    Drummond, J.M.2    Henn, J.M.3
  • 51
    • 84868277972 scopus 로고    scopus 로고
    • Single-valued harmonic polylogarithms and the multi-Regge limit
    • arXiv: 1207.0186
    • L. J. Dixon, C. Duhr and J. Pennington, Single-valued harmonic polylogarithms and the multi-Regge limit, JHEP 10 (2012) 074 [arXiv: 1207.0186].
    • (2012) JHEP , vol.10 , pp. 074
    • Dixon, L.J.1    Duhr, C.2    Pennington, J.3
  • 52
    • 84878945790 scopus 로고    scopus 로고
    • Generalised ladders and single-valued polylogarithms
    • arXiv: 1207. 3824
    • J. Drummond, Generalised ladders and single-valued polylogarithms, JHEP 02 (2013) 092 [arXiv: 1207. 3824].
    • (2013) JHEP , vol.2 , pp. 092
    • Drummond, J.1
  • 54
    • 84870449596 scopus 로고    scopus 로고
    • Three-mass triangle integrals and single-valued polylogarithms
    • arXiv: 1209.2722
    • F. Chavez and C. Duhr, Three-mass triangle integrals and single-valued polylogarithms, JHEP 11 (2012) 114 [arXiv: 1209.2722].
    • (2012) JHEP , vol.11 , pp. 114
    • Chavez, F.1    Duhr, C.2
  • 55
    • 84884584143 scopus 로고    scopus 로고
    • Two-loop QCD helicity amplitudes for g g → Z g and gg → Zγ
    • arXiv: 1302.2630
    • T. Gehrmann, L. Tancredi and E. Weihs, Two-loop QCD helicity amplitudes for g g → Z g and gg → Zγ, JHEP 04 (2013) 101 [arXiv: 1302.2630].
    • (2013) JHEP , vol.4 , pp. 101
    • Gehrmann, T.1    Tancredi, L.2    Weihs, E.3
  • 56
    • 84881465919 scopus 로고    scopus 로고
    • Soft triple-real radiation for Higgs production at N3LO
    • arXiv: 1302.4379
    • C. Anastasiou, C. Duhr, F. Dulat and B. Mistlberger, Soft triple-real radiation for Higgs production at N3LO, JHEP 07 (2013) 003 [arXiv: 1302.4379].
    • (2013) JHEP , vol.7 , pp. 003
    • Anastasiou, C.1    Duhr, C.2    Dulat, F.3    Mistlberger, B.4
  • 57
    • 0000277955 scopus 로고
    • Automatic Feynman graph generation
    • P. Nogueira, Automatic Feynman graph generation, J. Comput. Phys. 105 (1993) 279.
    • (1993) J. Comput. Phys. , vol.105 , pp. 279
    • Nogueira, P.1
  • 59
    • 0034736523 scopus 로고    scopus 로고
    • High precision calculation of multiloop Feynman integrals by difference equations
    • hep-ph/0102033
    • S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations, Int. J. Mod. Phys. A 15 (2000) 5087 [hep-ph/0102033].
    • (2000) Int. J. Mod. Phys. A , vol.15 , pp. 5087
    • Laporta, S.1
  • 60
    • 0002872832 scopus 로고
    • A theorem on analytical calculability of four loop renormalization group functions
    • F. Tkachov, A theorem on analytical calculability of four loop renormalization group functions, Phys. Lett. B 100 (1981) 65.
    • (1981) Phys. Lett. B , vol.100 , pp. 65
    • Tkachov, F.1
  • 61
    • 0000312317 scopus 로고
    • Integration by parts: The algorithm to calculate ß-functions in 4 loops
    • K. Chetyrkin and F. Tkachov, Integration by parts: the algorithm to calculate ß-functions in 4 loops, Nucl. Phys. B 192 (1981) 159.
    • (1981) Nucl. Phys. B , vol.192 , pp. 159
    • Chetyrkin, K.1    Tkachov, F.2
  • 62
    • 77953138447 scopus 로고    scopus 로고
    • Reduze-Feynman integral reduction in C++
    • arXiv:0912.2546
    • C. Studerus, Reduze-Feynman integral reduction in C++, Comput. Phys. Commun. 181 (2010) 1293 [arXiv:0912.2546].
    • (2010) Comput. Phys. Commun. , vol.181 , pp. 1293
    • Studerus, C.1
  • 64
    • 0036155651 scopus 로고    scopus 로고
    • Introduction to the GiNaC framework for symbolic computation within the C++ programming language
    • cs.sc/0004015
    • C. Bauer, A. Frink and R. Kreckel, Introduction to the GiNaC framework for symbolic computation within the C++ programming language, J. Symbolic Comput. 33 (2002) 1 [cs.sc/0004015].
    • (2002) J. Symbolic Comput. , vol.33 , pp. 1
    • Bauer, C.1    Frink, A.2    Kreckel, R.3
  • 66
    • 23044512961 scopus 로고    scopus 로고
    • Automatic integral reduction for higher order perturbative calculations
    • hep-ph/0404258
    • C. Anastasiou and A. Lazopoulos, Automatic integral reduction for higher order perturbative calculations, JHEP 07 (2004) 046 [hep-ph/0404258].
    • (2004) JHEP , vol.7 , pp. 046
    • Anastasiou, C.1    Lazopoulos, A.2
  • 67
    • 58149280611 scopus 로고    scopus 로고
    • Algorithm FIRE - Feynman Integral REduction
    • arXiv:0807.3243
    • A. Smirnov, Algorithm FIRE - Feynman Integral REduction, JHEP 10 (2008) 107 [arXiv:0807.3243].
    • (2008) JHEP , vol.10 , pp. 107
    • Smirnov, A.1
  • 69
    • 0001617136 scopus 로고
    • Dimensional regularization of mass and infrared singularities in two loop on-shell vertex functions
    • W. van Neerven, Dimensional regularization of mass and infrared singularities in two loop on-shell vertex functions, Nucl. Phys. B 268 (1986) 453.
    • (1986) Nucl. Phys. B , vol.268 , pp. 453
    • Van Neerven, W.1
  • 70
    • 0037013671 scopus 로고    scopus 로고
    • The analytic value of the sunrise selfmass with two equal masses and the external invariant equal to the third squared mass
    • hep-ph/0202123
    • M. Argeri, P. Mastrolia and E. Remiddi, The analytic value of the sunrise selfmass with two equal masses and the external invariant equal to the third squared mass, Nucl. Phys. B 631 (2002) 388 [hep-ph/0202123].
    • (2002) Nucl. Phys. B , vol.631 , pp. 388
    • Argeri, M.1    Mastrolia, P.2    Remiddi, E.3
  • 71
    • 0042174965 scopus 로고    scopus 로고
    • Vertex diagrams for the QED form-factors at the two loop level
    • R. Bonciani, P. Mastrolia and E. Remiddi, Vertex diagrams for the QED form-factors at the two loop level, Nucl. Phys. B 661 (2003) 289
    • (2003) Nucl. Phys. B , vol.661 , pp. 289
    • Bonciani, R.1    Mastrolia, P.2    Remiddi, E.3
  • 72
    • 9144239504 scopus 로고    scopus 로고
    • Erratum
    • hep-ph/0301170
    • [Erratum Nucl. Phys. B 702 (2004) 359] [hep-ph/0301170].
    • (2004) Nucl. Phys. B , vol.702 , pp. 359
  • 73
    • 2942517686 scopus 로고    scopus 로고
    • Master integrals for the two loop QCD virtual corrections to the forward backward asymmetry
    • hep-ph/0311145
    • R. Bonciani, P. Mastrolia and E. Remiddi, Master integrals for the two loop QCD virtual corrections to the forward backward asymmetry, Nucl. Phys. B 690 (2004) 138 [hep-ph/0311145].
    • (2004) Nucl. Phys. B , vol.690 , pp. 138
    • Bonciani, R.1    Mastrolia, P.2    Remiddi, E.3
  • 74
    • 0345490623 scopus 로고    scopus 로고
    • QED vertex form-factors at two loops
    • hep-ph/0307295
    • R. Bonciani, P. Mastrolia and E. Remiddi, QED vertex form-factors at two loops, Nucl. Phys. B 676 (2004) 399 [hep-ph/0307295].
    • (2004) Nucl. Phys. B , vol.676 , pp. 399
    • Bonciani, R.1    Mastrolia, P.2    Remiddi, E.3
  • 75
    • 0033541916 scopus 로고    scopus 로고
    • Analytic two loop results for selfenergy type and vertex type diagrams with one nonzero mass
    • hep-ph/9808242
    • J. Fleischer, A. Kotikov and O. Veretin, Analytic two loop results for selfenergy type and vertex type diagrams with one nonzero mass, Nucl. Phys. B 547 (1999) 343 [hep-ph/9808242].
    • (1999) Nucl. Phys. B , vol.547 , pp. 343
    • Fleischer, J.1    Kotikov, A.2    Veretin, O.3
  • 76
    • 0041426525 scopus 로고    scopus 로고
    • Master integrals with one massive propagator for the two loop electroweak form-factor
    • hep-ph/0304028
    • U. Aglietti and R. Bonciani, Master integrals with one massive propagator for the two loop electroweak form-factor, Nucl. Phys. B 668 (2003) 3 [hep-ph/0304028].
    • (2003) Nucl. Phys. B , vol.668 , pp. 3
    • Aglietti, U.1    Bonciani, R.2
  • 77
    • 15344347616 scopus 로고    scopus 로고
    • Massive Feynman diagrams and inverse binomial sums
    • hep-th/0303162
    • A. I. Davydychev and M. Y. Kalmykov, Massive Feynman diagrams and inverse binomial sums, Nucl. Phys. B 699 (2004) 3 [hep-th/0303162].
    • (2004) Nucl. Phys. B , vol.699 , pp. 3
    • Davydychev, A.I.1    Kalmykov, M.Y.2
  • 78
    • 4644262311 scopus 로고    scopus 로고
    • Master integrals with 2 and 3 massive propagators for the 2 loop electroweak form-factor - Planar case
    • hep-ph/0401193
    • U. Aglietti and R. Bonciani, Master integrals with 2 and 3 massive propagators for the 2 loop electroweak form-factor - planar case, Nucl. Phys. B 698 (2004) 277 [hep-ph/0401193].
    • (2004) Nucl. Phys. B , vol.698 , pp. 277
    • Aglietti, U.1    Bonciani, R.2
  • 79
    • 18544375308 scopus 로고    scopus 로고
    • Master integrals for massive two-loop Bhabha scattering in QED
    • hep-ph/0412164
    • M. Czakon, J. Gluza and T. Riemann, Master integrals for massive two-loop Bhabha scattering in QED, Phys. Rev. D 71 (2005) 073009 [hep-ph/0412164].
    • (2005) Phys. Rev. D , vol.71 , pp. 073009
    • Czakon, M.1    Gluza, J.2    Riemann, T.3
  • 80
    • 79953725106 scopus 로고    scopus 로고
    • On the generalized harmonic polylogarithms of one complex variable
    • arXiv:1007.1891
    • R. Bonciani, G. Degrassi and A. Vicini, On the generalized harmonic polylogarithms of one complex variable, Comput. Phys. Commun. 182 (2011) 1253 [arXiv:1007.1891].
    • (2011) Comput. Phys. Commun. , vol.182 , pp. 1253
    • Bonciani, R.1    Degrassi, G.2    Vicini, A.3
  • 81
    • 0000396827 scopus 로고    scopus 로고
    • Analytical result for dimensionally regularized massless on shell double box
    • hep-ph/9905323
    • V. A. Smirnov, Analytical result for dimensionally regularized massless on shell double box, Phys. Lett. B 460 (1999) 397 [hep-ph/9905323].
    • (1999) Phys. Lett. B , vol.460 , pp. 397
    • Smirnov, V.A.1
  • 82
    • 0001718629 scopus 로고    scopus 로고
    • Nonplanar massless two loop Feynman diagrams with four on-shell legs
    • hep-ph/9909506
    • J. Tausk, Nonplanar massless two loop Feynman diagrams with four on-shell legs, Phys. Lett. B 469 (1999) 225 [hep-ph/9909506].
    • (1999) Phys. Lett. B , vol.469 , pp. 225
    • Tausk, J.1
  • 83
    • 35349011623 scopus 로고    scopus 로고
    • AMBRE: A Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
    • arXiv:0704.2423
    • J. Gluza, K. Kajda and T. Riemann, AMBRE: a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals, Comput. Phys. Commun. 177 (2007) 879 [arXiv:0704.2423].
    • (2007) Comput. Phys. Commun. , vol.177 , pp. 879
    • Gluza, J.1    Kajda, K.2    Riemann, T.3
  • 84
    • 33748798230 scopus 로고    scopus 로고
    • Automatized analytic continuation of Mellin-Barnes integrals
    • hep-ph/0511200
    • M. Czakon, Automatized analytic continuation of Mellin-Barnes integrals, Comput. Phys. Commun. 175 (2006) 559 [hep-ph/0511200].
    • (2006) Comput. Phys. Commun. , vol.175 , pp. 559
    • Czakon, M.1
  • 85
    • 79952619978 scopus 로고    scopus 로고
    • Wolfram Research Inc., Champaign, IL U. S. A
    • Wolfram Research Inc., Mathematica, version 8.0, Champaign, IL U. S. A. (2010).
    • (2010) Mathematica, Version 8.0
  • 86
    • 84881462061 scopus 로고    scopus 로고
    • Symbolic integration and multiple polylogarithms
    • arXiv:1209.6524
    • C. Bogner and F. Brown, Symbolic integration and multiple polylogarithms, PoS (LL2012) 053 [arXiv:1209.6524].
    • PoS (LL2012) , pp. 053
    • Bogner, C.1    Brown, F.2
  • 89
    • 84879212445 scopus 로고    scopus 로고
    • Multiloop integrals in dimensional regularization made simple
    • arXiv:1304.1806
    • J. M. Henn, Multiloop integrals in dimensional regularization made simple, Phys. Rev. Lett. 110 (2013) 251601 [arXiv:1304.1806].
    • (2013) Phys. Rev. Lett. , vol.110 , pp. 251601
    • Henn, J.M.1
  • 90
    • 84881448242 scopus 로고    scopus 로고
    • Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation
    • arXiv:1306.2799
    • J. M. Henn, A. V. Smirnov and V. A. Smirnov, Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation, JHEP 07 (2013) 128 [arXiv:1306.2799].
    • (2013) JHEP , vol.7 , pp. 128
    • Henn, J.M.1    Smirnov, A.V.2    Smirnov, V.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.