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Volumn 2010, Issue 1, 2010, Pages

The one-loop pentagon to higher orders in ∈

Author keywords

Gauge symmetry; QCD; Supersymmetric gauge theory

Indexed keywords


EID: 77954977086     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2010)042     Document Type: Article
Times cited : (37)

References (45)
  • 1
    • 76249117218 scopus 로고    scopus 로고
    • The five-gluon amplitude in the high-energy limit
    • arXiv:0905.0100
    • V. Del Duca, C. Duhr and E. W. Nigel Glover, The five-gluon amplitude in the high-energy limit, JHEP 12 (2009) 023 [arXiv:0905.0100]
    • (2009) JHEP , vol.12 , pp. 023
    • Duca, V.D.1    Duhr, C.2    Glover, E.W.N.3
  • 2
    • 0942288740 scopus 로고    scopus 로고
    • Planar amplitudes in maximally supersymmetric Yang-Mills theory
    • hep-th/0309040
    • C. Anastasiou, Z. Bern, L. J. Dixon and D. A. Kosower, Planar amplitudes in maximally supersymmetric Yang-Mills theory, Phys. Rev. Lett. 91 (2003) 251602 [hep-th/0309040]
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 251602
    • Anastasiou, C.1    Bern, Z.2    Dixon, L.J.3    Kosower, D.A.4
  • 3
    • 33749597888 scopus 로고
    • Renormalization of the Wilson loops beyond the leading order
    • G. P. Korchemsky and A. V. Radyushkin, Renormalization of the Wilson loops beyond the leading order, Nucl. Phys. B 283 (1987) 342
    • (1987) Nucl. Phys. , vol.283 B , pp. 342
    • Korchemsky, G.P.1    Radyushkin, A.V.2
  • 5
    • 0000242357 scopus 로고
    • Analytic continuation of the Sudakov form-factor in QCD
    • L. Magnea and G. Sterman, Analytic continuation of the Sudakov form-factor in QCD, Phys. Rev. D 42 (1990) 4222
    • (1990) Phys. Rev. , vol.42 D , pp. 4222
    • Magnea, L.1    Sterman, G.2
  • 6
    • 0042061172 scopus 로고    scopus 로고
    • Multi-loop amplitudes and resummation
    • hep-ph/0210130
    • G. Sterman and M. E. Tejeda-Yeomans, Multi-loop amplitudes and resummation, Phys. Lett. B 552 (2003) 48 [hep-ph/0210130]
    • (2003) Phys. Lett. , vol.552 B , pp. 48
    • Sterman, G.1    Tejeda-Yeomans, M.E.2
  • 7
    • 29744435695 scopus 로고    scopus 로고
    • Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
    • hep-th/0505205
    • Z. Bern, L. J. Dixon and V. A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 (2005) 085001 [hep-th/0505205]
    • (2005) Phys. Rev. , vol.72 D , pp. 085001
    • Bern, Z.1    Dixon, L.J.2    Smirnov, V.A.3
  • 8
    • 33750598337 scopus 로고    scopus 로고
    • Two-loop iteration of five-point N = 4 super-Yang-Mills amplitudes
    • hep-th/0604074
    • Z. Bern, M. Czakon, D. A. Kosower, R. Roiban and V. A. Smirnov, Two-loop iteration of five-point N = 4 super-Yang-Mills amplitudes, Phys. Rev. Lett. 97 (2006) 181601 [hep-th/0604074]
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 181601
    • Bern, Z.1    Czakon, M.2    Kosower, D.A.3    Roiban, R.4    Smirnov, V.A.5
  • 10
    • 36849064347 scopus 로고    scopus 로고
    • Comments on gluon scattering amplitudes via AdS/CFT
    • arXiv:0710.1060
    • L. F. Alday and J. Maldacena, Comments on gluon scattering amplitudes via AdS/CFT, JHEP 11 (2007) 068 [arXiv:0710.1060]
    • (2007) JHEP , vol.11 , pp. 068
    • Alday, L.F.1    Maldacena, J.2
  • 11
    • 49749119515 scopus 로고    scopus 로고
    • The two-loop six-gluon MHV amplitude in maximally supersymmetric Yang-Mills theory
    • arXiv:0803.1465
    • Z. Bern et al., The two-loop six-gluon MHV amplitude in maximally supersymmetric Yang-Mills theory, Phys. Rev. D 78 (2008) 045007 [arXiv:0803.1465]
    • (2008) Phys. Rev. , vol.78 D , pp. 045007
    • Bern, Z.1
  • 12
    • 57649203088 scopus 로고    scopus 로고
    • Leading singularities of the two-loop six-particle MHV amplitude
    • arXiv:0805.4832
    • F. Cachazo, M. Spradlin and A. Volovich, Leading singularities of the two-loop six-particle MHV amplitude, Phys. Rev. D 78 (2008) 105022 [arXiv:0805.4832]
    • (2008) Phys. Rev. , vol.78 D , pp. 105022
    • Cachazo, F.1    Spradlin, M.2    Volovich, A.3
  • 13
    • 34547681641 scopus 로고    scopus 로고
    • Gluon scattering amplitudes at strong coupling
    • arXiv:0705.0303
    • L. F. Alday and J. M. Maldacena, Gluon scattering amplitudes at strong coupling, JHEP 06 (2007) 064 [arXiv:0705.0303]
    • (2007) JHEP , vol.6 , pp. 064
    • Alday, L.F.1    Maldacena, J.M.2
  • 14
    • 39149124837 scopus 로고    scopus 로고
    • Conformal properties of four-gluon planar amplitudes and Wilson loops
    • arXiv:0707.0243
    • J. M. Drummond, G. P. Korchemsky and E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops, Nucl. Phys. B 795 (2008) 385 [arXiv:0707.0243]
    • (2008) Nucl. Phys. , vol.795 B , pp. 385
    • Drummond, J.M.1    Korchemsky, G.P.2    Sokatchev, E.3
  • 15
    • 38649086724 scopus 로고    scopus 로고
    • MHV amplitudes in N = 4 super Yang-Mills and Wilson loops
    • arXiv:0707.1153
    • A. Brandhuber, P. Heslop and G. Travaglini, MHV amplitudes in N = 4 super Yang-Mills and Wilson loops, Nucl. Phys. B 794 (2008) 231 [arXiv:0707.1153]
    • (2008) Nucl. Phys. , vol.794 B , pp. 231
    • Brandhuber, A.1    Heslop, P.2    Travaglini, G.3
  • 16
    • 39149098442 scopus 로고    scopus 로고
    • On planar gluon amplitudes/Wilson loops duality
    • arXiv:0709.2368
    • J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, On planar gluon amplitudes/Wilson loops duality, Nucl. Phys. B 795 (2008) 52 [arXiv:0709.2368]
    • (2008) Nucl. Phys. , vol.795 B , pp. 52
    • Drummond, J.M.1    Henn, J.2    Korchemsky, G.P.3    Sokatchev, E.4
  • 17
    • 71649089588 scopus 로고    scopus 로고
    • Conformal ward identities for Wilson loops and a test of the duality with gluon amplitudes
    • arXiv:0712.1223
    • J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, Conformal ward identities for Wilson loops and a test of the duality with gluon amplitudes, Nucl. Phys. B 826 (2010) 337 [arXiv:0712.1223]
    • (2010) Nucl. Phys. , vol.826 B , pp. 337
    • Drummond, J.M.1    Henn, J.2    Korchemsky, G.P.3    Sokatchev, E.4
  • 18
    • 42149088202 scopus 로고    scopus 로고
    • The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
    • arXiv:0712.4138
    • J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude, Phys. Lett. B 662 (2008) 456 [arXiv:0712.4138]
    • (2008) Phys. Lett. , vol.662 B , pp. 456
    • Drummond, J.M.1    Henn, J.2    Korchemsky, G.P.3    Sokatchev, E.4
  • 19
    • 63349103827 scopus 로고    scopus 로고
    • Hexagon Wilson loop = six-gluon MHV amplitude
    • arXiv:0803.1466
    • J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, Hexagon Wilson loop = six-gluon MHV amplitude, Nucl. Phys. B 815 (2009) 142 [arXiv:0803.1466]
    • (2009) Nucl. Phys. , vol.815 B , pp. 142
    • Drummond, J.M.1    Henn, J.2    Korchemsky, G.P.3    Sokatchev, E.4
  • 20
    • 67650254821 scopus 로고    scopus 로고
    • Two-loop polygon Wilson loops in N = 4 SYM
    • arXiv:0902.2245
    • C. Anastasiou et al., Two-loop polygon Wilson loops in N = 4 SYM, JHEP 05 (2009) 115 [arXiv:0902.2245]
    • (2009) JHEP , vol.5 , pp. 115
    • Anastasiou, C.1
  • 21
    • 0000632007 scopus 로고
    • One-loop n-point gauge theory amplitudes, unitarity and collinear limits
    • hep-ph/9403226
    • Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, One-loop n-point gauge theory amplitudes, unitarity and collinear limits, Nucl. Phys. B 425 (1994) 217 [hep-ph/9403226]
    • (1994) Nucl. Phys. , vol.425 B , pp. 217
    • Bern, Z.1    Dixon, L.J.2    Dunbar, D.C.3    Kosower, D.A.4
  • 22
    • 0039498782 scopus 로고    scopus 로고
    • One-loop self-dual and N = 4 super Yang-Mills
    • hep-th/9611127
    • Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, One-loop self-dual and N = 4 super Yang-Mills, Phys. Lett. B 394 (1997) 105 [hep-th/9611127]
    • (1997) Phys. Lett. , vol.394 B , pp. 105
    • Bern, Z.1    Dixon, L.J.2    Dunbar, D.C.3    Kosower, D.A.4
  • 23
    • 33749995609 scopus 로고
    • Negative dimensional integrals. 1. Feynman graphs
    • I. G. Halliday and R. M. Ricotta, Negative dimensional integrals. 1. Feynman graphs, Phys. Lett. B 193 (1987) 241
    • (1987) Phys. Lett. , vol.193 B , pp. 241
    • Halliday, I.G.1    Ricotta, R.M.2
  • 24
    • 0002607436 scopus 로고
    • Negative dimensions in quantum field theory
    • in, H. Falomir ed
    • R. M. Ricotta, Negative dimensions in quantum field theory, in J. J. Giambiagi Festschrift, H. Falomir ed. (1990) pg. 350.
    • (1990) J. J. Giambiagi Festschrift , pp. 350
    • Ricotta, R.M.1
  • 25
    • 33749008637 scopus 로고
    • A method of evaluating massive Feynman integrals
    • E. E. Boos and A. I. Davydychev, A method of evaluating massive Feynman integrals, Theor. Math. Phys. 89 (1991) 1052
    • (1991) Theor. Math. Phys. , vol.89 , pp. 1052
    • Boos, E.E.1    Davydychev, A.I.2
  • 26
    • 3042977853 scopus 로고
    • [Teor. Mat. Fiz. 89 (1991) 56]
    • (1991) Teor. Mat. Fiz. , vol.89 , pp. 56
  • 27
    • 0032219342 scopus 로고    scopus 로고
    • Multiple polylogarithms, cyclotomy and modular complexes
    • A. B. Goncharov, Multiple polylogarithms, cyclotomy and modular complexes, Math. Research Letters 5 (1998) 497.
    • (1998) Math. Research Letters , vol.5 , pp. 497
    • Goncharov, A.B.1
  • 28
    • 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
  • 33
    • 58149277498 scopus 로고    scopus 로고
    • Analytic integration of real-virtual counterterms in NNLO jet cross sections I
    • arXiv:0807.0514
    • U. Aglietti, V. Del Duca, C. Duhr, G. Somogyi and Z. Trócsá nyi, Analytic integration of real-virtual counterterms in NNLO jet cross sections I, JHEP 09 (2008) 107 [arXiv:0807.0514]
    • (2008) JHEP , vol.9 , pp. 107
    • Aglietti, U.1    Duca, V.D.2    Duhr, C.3    Somogyi, G.4    Trócsányi, Z.5
  • 38
    • 33645959863 scopus 로고    scopus 로고
    • X Summer: Transcendental functions and symbolic summation in form
    • math-ph/0508008
    • S. Moch and P. Uwer, X Summer: transcendental functions and symbolic summation in form, Comput. Phys. Commun. 174 (2006) 759 [math-ph/0508008]
    • (2006) Comput. Phys. Commun. , vol.174 , pp. 759
    • Moch, S.1    Uwer, P.2
  • 39
    • 0001764998 scopus 로고    scopus 로고
    • Harmonic sums, Mellin transforms and integrals
    • hep-ph/9806280
    • J. A. M. Vermaseren, Harmonic sums, Mellin transforms and integrals, Int. J. Mod. Phys. A 14 (1999) 2037 [hep-ph/9806280]
    • (1999) Int. J. Mod. Phys. , vol.14 A , pp. 2037
    • Vermaseren, J.A.M.1
  • 40
    • 0035981787 scopus 로고    scopus 로고
    • Nested sums, expansion of transcendental functions and multi-scale multi-loop integrals
    • hep-ph/0110083
    • S. Moch, P. Uwer and S. Weinzierl, Nested sums, expansion of transcendental functions and multi-scale multi-loop integrals, J. Math. Phys. 43 (2002) 3363 [hep-ph/0110083]
    • (2002) J. Math. Phys. , vol.43 , pp. 3363
    • Moch, S.1    Uwer, P.2    Weinzierl, S.3
  • 42
    • 0034688576 scopus 로고    scopus 로고
    • Harmonic polylogarithms
    • hep-ph/9905237
    • E. Remiddi and J. A. M. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15 (2000) 725 [hep-ph/9905237]
    • (2000) Int. J. Mod. Phys. , vol.15 A , pp. 725
    • Remiddi, E.1    Vermaseren, J.A.M.2
  • 43
    • 67649493465 scopus 로고    scopus 로고
    • Iterated amplitudes in the high-energy limit
    • arXiv:0809.1822
    • V. Del Duca, C. Duhr and E. W. N. Glover, Iterated amplitudes in the high-energy limit, JHEP 12 (2008) 097 [arXiv:0809.1822]
    • (2008) JHEP , vol.12 , pp. 097
    • Duca, V.D.1    Duhr, C.2    Glover, E.W.N.3
  • 44
    • 21144478517 scopus 로고
    • Recursive algorithm of evaluating vertex type Feynman integrals
    • A. I. Davydychev, Recursive algorithm of evaluating vertex type Feynman integrals, J. Phys. A 25 (1992) 5587
    • (1992) J. Phys. , vol.25 A , pp. 5587
    • Davydychev, A.I.1
  • 45
    • 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


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