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Volumn 2012, Issue 4, 2012, Pages

Hepta-cuts of two-loop scattering amplitudes

Author keywords

QCD; Scattering Amplitudes; Supersymmetric gauge theory

Indexed keywords


EID: 84860289210     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP04(2012)055     Document Type: Article
Times cited : (140)

References (64)
  • 1
    • 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. B , vol.425 , pp. 217
    • Bern, Z.1    Dixon, L.J.2    Dunbar, D.C.3    Kosower, D.A.4
  • 2
    • 0003149712 scopus 로고
    • Fusing gauge theory tree amplitudes into loop amplitudes
    • [hep-ph/9409265]
    • Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes, Nucl. Phys. B 435 (1995) 59 [hep-ph/9409265].
    • (1995) Nucl. Phys. B , vol.435 , pp. 59
    • Bern, Z.1    Dixon, L.J.2    Dunbar, D.C.3    Kosower, D.A.4
  • 3
    • 24344485193 scopus 로고    scopus 로고
    • Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills
    • [hep-th/0412103]
    • R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills, Nucl. Phys. B 725 (2005) 275 [hep-th/0412103].
    • (2005) Nucl. Phys. B , vol.725 , pp. 275
    • Britto, R.1    Cachazo, F.2    Feng, B.3
  • 4
    • 17544366149 scopus 로고    scopus 로고
    • New recursion relations for tree amplitudes of gluons
    • [hep-th/0412308]
    • R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons, Nucl. Phys. B 715 (2005) 499 [hep-th/0412308].
    • (2005) Nucl. Phys. B , vol.715 , pp. 499
    • Britto, R.1    Cachazo, F.2    Feng, B.3
  • 5
    • 23044434458 scopus 로고    scopus 로고
    • MHV vertices and tree amplitudes in gauge theory
    • [hep-th/0403047]
    • F. Cachazo, P. Svrček and E. Witten, MHV vertices and tree amplitudes in gauge theory, JHEP 09 (2004) 006 [hep-th/0403047].
    • (2004) JHEP , vol.9 , pp. 006
    • Cachazo, F.1    Svrček, P.2    Witten, E.3
  • 7
    • 80755181471 scopus 로고    scopus 로고
    • Susy theories and QCD: Numerical approaches
    • [arXiv:1109.6527]
    • H. Ita, Susy theories and QCD: numerical approaches, J. Phys. A 44 (2011) 454005 [arXiv:1109.6527].
    • (2011) J. Phys. A , vol.44 , pp. 454005
    • Ita, H.1
  • 9
    • 43049083695 scopus 로고    scopus 로고
    • A numerical unitarity formalism for evaluating one-loop amplitudes
    • [arXiv:0708.2398]
    • R. Ellis, W. Giele and Z. Kunszt, A numerical unitarity formalism for evaluating one-loop amplitudes, JHEP 03 (2008) 003 [arXiv:0708.2398].
    • (2008) JHEP , vol.3 , pp. 003
    • Ellis, R.1    Giele, W.2    Kunszt, Z.3
  • 10
    • 34347379293 scopus 로고    scopus 로고
    • Direct extraction of one-loop integral coefficients
    • [arXiv:0704. 1835]
    • D. Forde, Direct extraction of one-loop integral coefficients, Phys. Rev. D 75 (2007) 125019 [arXiv:0704.1835].
    • Phys. Rev. D , vol.75 , Issue.2007 , pp. 125019
    • Forde, D.1
  • 12
    • 33947663599 scopus 로고    scopus 로고
    • Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes
    • [hep-ph/0612277]
    • C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes, JHEP 03 (2007) 111 [hep-ph/0612277].
    • (2007) JHEP , vol.3 , pp. 111
    • Anastasiou, C.1    Britto, R.2    Feng, B.3    Kunszt, Z.4    Mastrolia, P.5
  • 13
    • 44449166767 scopus 로고    scopus 로고
    • Full one-loop amplitudes from tree amplitudes
    • [arXiv:0801.2237]
    • W.T. Giele, Z. Kunszt and K. Melnikov, Full one-loop amplitudes from tree amplitudes, JHEP 04 (2008) 049 [arXiv:0801.2237].
    • (2008) JHEP , vol.4 , pp. 049
    • Giele, W.T.1    Kunszt, Z.2    Melnikov, K.3
  • 14
    • 63649120173 scopus 로고    scopus 로고
    • Direct extraction of one loop rational terms
    • [arXiv:0806.4600]
    • S. Badger, Direct extraction of one loop rational terms, JHEP 01 (2009) 049 [arXiv:0806.4600].
    • (2009) JHEP , vol.1 , pp. 049
    • Badger, S.1
  • 15
    • 0030594543 scopus 로고    scopus 로고
    • Massive loop amplitudes from unitarity
    • [hep-ph/9511336]
    • Z. Bern and A. Morgan, Massive loop amplitudes from unitarity, Nucl. Phys. B 467 (1996) 479 [hep-ph/9511336].
    • (1996) Nucl. Phys. B , vol.467 , pp. 479
    • Bern, Z.1    Morgan, A.2
  • 16
    • 29744435862 scopus 로고    scopus 로고
    • One-loop amplitudes of gluons in SQCD
    • [hep-ph/0503132]
    • R. Britto, E. Buchbinder, F. Cachazo and B. Feng, One-loop amplitudes of gluons in SQCD, Phys. Rev. D 72 (2005) 065012 [hep-ph/0503132].
    • (2005) Phys. Rev. D , vol.72 , pp. 065012
    • Britto, R.1    Buchbinder, E.2    Cachazo, F.3    Feng, B.4
  • 17
    • 33646378186 scopus 로고    scopus 로고
    • The cut-constructible part of QCD amplitudes
    • [hep-ph/0602178]
    • R. Britto, B. Feng and P. Mastrolia, The cut-constructible part of QCD amplitudes, Phys. Rev. D 73 (2006) 105004 [hep-ph/0602178].
    • (2006) Phys. Rev. D , vol.73 , pp. 105004
    • Britto, R.1    Feng, B.2    Mastrolia, P.3
  • 18
    • 33845628572 scopus 로고    scopus 로고
    • On triple-cut of scattering amplitudes
    • [hep-th/0611091]
    • P. Mastrolia, On triple-cut of scattering amplitudes, Phys. Lett. B 644 (2007) 272 [hep-th/0611091].
    • (2007) Phys. Lett. B , vol.644 , pp. 272
    • Mastrolia, P.1
  • 19
    • 33846011109 scopus 로고    scopus 로고
    • Reducing full one-loop amplitudes to scalar integrals at the integrand level
    • [hep-ph/0609007]
    • G. Ossola, C.G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level, Nucl. Phys. B 763 (2007) 147 [hep-ph/0609007].
    • (2007) Nucl. Phys. B , vol.763 , pp. 147
    • Ossola, G.1    Papadopoulos, C.G.2    Pittau, R.3
  • 20
    • 49749113761 scopus 로고    scopus 로고
    • An automated implementation of on-shell methods for one-loop amplitudes
    • [arXiv:0803.4180]
    • C. Berger et al., An automated implementation of on-shell methods for one-loop amplitudes, Phys. Rev. D 78 (2008) 036003 [arXiv:0803.4180].
    • (2008) Phys. Rev. D , vol.78 , pp. 036003
    • Berger, C.1
  • 21
    • 77955884962 scopus 로고    scopus 로고
    • Scattering amplitudes from unitarity-based reduction algorithm at the integrand-level
    • [arXiv:1006.0710]
    • P. Mastrolia, G. Ossola, T. Reiter and F. Tramontano, Scattering amplitudes from unitarity-based reduction algorithm at the integrand-level, JHEP 08 (2010) 080 [arXiv:1006.0710].
    • (2010) JHEP , vol.8 , pp. 080
    • Mastrolia, P.1    Ossola, G.2    Reiter, T.3    Tramontano, F.4
  • 22
    • 80053149864 scopus 로고    scopus 로고
    • Automation of one-loop QCD corrections
    • [arXiv:1103.0621]
    • V. Hirschi et al., Automation of one-loop QCD corrections, JHEP 05 (2011) 044 [arXiv:1103.0621].
    • (2011) JHEP , vol.5 , pp. 044
    • Hirschi, V.1
  • 24
    • 47249113006 scopus 로고    scopus 로고
    • On the numerical evaluation of one-loop amplitudes: The gluonic case
    • [arXiv:0805.2152]
    • W. Giele and G. Zanderighi, On the numerical evaluation of one-loop amplitudes: the gluonic case, JHEP 06 (2008) 038 [arXiv:0805.2152].
    • (2008) JHEP , vol.6 , pp. 038
    • Giele, W.1    Zanderighi, G.2
  • 26
    • 79957834867 scopus 로고    scopus 로고
    • NGluon: A package to calculate one-loop multi-gluon amplitudes
    • [arXiv:1011.2900]
    • S. Badger, B. Biedermann and P. Uwer, NGluon: a package to calculate one-loop multi-gluon amplitudes, Comput. Phys. Commun. 182 (2011) 1674 [arXiv:1011.2900].
    • (2011) Comput. Phys. Commun. , vol.182 , pp. 1674
    • Badger, S.1    Biedermann, B.2    Uwer, P.3
  • 27
    • 43049151516 scopus 로고    scopus 로고
    • CutTools: A program implementing the OPP reduction method to compute one-loop amplitudes
    • [arXiv:0711.3596]
    • G. Ossola, C.G. Papadopoulos and R. Pittau, CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes, JHEP 03 (2008) 042 [arXiv:0711.3596].
    • (2008) JHEP , vol.3 , pp. 042
    • Ossola, G.1    Papadopoulos, C.G.2    Pittau, R.3
  • 28
    • 77955653213 scopus 로고    scopus 로고
    • Efficient color-dressed calculation of virtual corrections
    • [arXiv:0911. 1962]
    • W. Giele, Z. Kunszt and J. Winter, Efficient color-dressed calculation of virtual corrections, Nucl. Phys. B 840 (2010) 214 [arXiv:0911.1962].
    • (2010) Nucl. Phys. B , vol.840 , pp. 214
    • Giele, W.1    Kunszt, Z.2    Winter, J.3
  • 30
    • 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. D , vol.72 , pp. 085001
    • Bern, Z.1    Dixon, L.J.2    Smirnov, V.A.3
  • 31
    • 34249282692 scopus 로고    scopus 로고
    • The four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory
    • [hep-th/0610248]
    • Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower and V.A. Smirnov, The four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory, Phys. Rev. D 75 (2007) 085010 [hep-th/0610248].
    • (2007) Phys. Rev. D , vol.75 , pp. 085010
    • Bern, Z.1    Czakon, M.2    Dixon, L.J.3    Kosower, D.A.4    Smirnov, V.A.5
  • 32
    • 37349078996 scopus 로고    scopus 로고
    • Maximally supersymmetric planar Yang-Mills amplitudes at five loops
    • [arXiv:0705. 1864]
    • Z. Bern, J. Carrasco, H. Johansson and D. Kosower, Maximally supersymmetric planar Yang-Mills amplitudes at five loops, Phys. Rev. D 76 (2007) 125020 [arXiv:0705.1864].
    • Phys. Rev. D , vol.76 , Issue.2007 , pp. 125020
    • Bern, Z.1    Carrasco, J.2    Johansson, H.3    Kosower, D.4
  • 33
    • 0041438181 scopus 로고    scopus 로고
    • Two loop four gluon amplitudes in N = 4 super Yang-Mills
    • [hep-ph/9702424]
    • Z. Bern, J. Rozowsky and B. Yan, Two loop four gluon amplitudes in N = 4 super Yang-Mills, Phys. Lett. B 401 (1997) 273 [hep-ph/9702424].
    • (1997) Phys. Lett. B , vol.401 , pp. 273
    • Bern, Z.1    Rozowsky, J.2    Yan, B.3
  • 34
    • 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. D , vol.78 , pp. 045007
    • Bern, Z.1
  • 35
    • 79960731726 scopus 로고    scopus 로고
    • The six-point NMHV amplitude in maximally supersymmetric Yang-Mills theory
    • [arXiv:1009.1376]
    • D. Kosower, R. Roiban and C. Vergu, The six-point NMHV amplitude in maximally supersymmetric Yang-Mills theory, Phys. Rev. D 83 (2011) 065018 [arXiv:1009.1376].
    • (2011) Phys. Rev. D , vol.83 , pp. 065018
    • Kosower, D.1    Roiban, R.2    Vergu, C.3
  • 36
    • 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
  • 37
    • 33645503640 scopus 로고    scopus 로고
    • Two-loop amplitudes of gluons and octa-cuts in N = 4 super Yang-Mills
    • [hep-th/0506126]
    • E.I. Buchbinder and F. Cachazo, Two-loop amplitudes of gluons and octa-cuts in N = 4 super Yang-Mills, JHEP 11 (2005) 036 [hep-th/0506126].
    • (2005) JHEP , vol.11 , pp. 036
    • Buchbinder, E.I.1    Cachazo, F.2
  • 39
    • 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. D , vol.78 , pp. 105022
    • Cachazo, F.1    Spradlin, M.2    Volovich, A.3
  • 40
    • 0035797166 scopus 로고    scopus 로고
    • Two loop QCD corrections to gluon-gluon scattering
    • [hep-ph/0102201]
    • E. Glover, C. Oleari and M. Tejeda-Yeomans, Two loop QCD corrections to gluon-gluon scattering, Nucl. Phys. B 605 (2001) 467 [hep-ph/0102201].
    • (2001) Nucl. Phys. B , vol.605 , pp. 467
    • Glover, E.1    Oleari, C.2    Tejeda-Yeomans, M.3
  • 41
    • 23044495101 scopus 로고    scopus 로고
    • Two loop helicity amplitudes for gluon-gluon scattering in QCD and supersymmetric Yang-Mills theory
    • [hep-ph/0201161]
    • Z. Bern, A. De Freitas and L.J. Dixon, Two loop helicity amplitudes for gluon-gluon scattering in QCD and supersymmetric Yang-Mills theory, JHEP 03 (2002) 018 [hep-ph/0201161].
    • (2002) JHEP , vol.3 , pp. 018
    • Bern, Z.1    De Freitas, A.2    Dixon, L.J.3
  • 42
    • 7444227086 scopus 로고    scopus 로고
    • A two loop four gluon helicity amplitude in QCD
    • [hep-ph/0001001]
    • Z. Bern, L.J. Dixon and D. Kosower, A two loop four gluon helicity amplitude in QCD, JHEP 01 (2000) 027 [hep-ph/0001001].
    • (2000) JHEP , vol.1 , pp. 027
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.3
  • 43
    • 0035821477 scopus 로고    scopus 로고
    • Two-loop QCD corrections to the scattering of massless distinct quarks
    • [hep-ph/0010212]
    • C. Anastasiou, E. Glover, C. Oleari and M. Tejeda-Yeomans, Two-loop QCD corrections to the scattering of massless distinct quarks, Nucl. Phys. B 601 (2001) 318 [hep-ph/0010212].
    • (2001) Nucl. Phys. B , vol.601 , pp. 318
    • Anastasiou, C.1    Glover, E.2    Oleari, C.3    Tejeda-Yeomans, M.4
  • 44
    • 0035821468 scopus 로고    scopus 로고
    • Two loop QCD corrections to massless identical quark scattering
    • [hep-ph/0011094]
    • C. Anastasiou, E. Glover, C. Oleari and M. Tejeda-Yeomans, Two loop QCD corrections to massless identical quark scattering, Nucl. Phys. B 601 (2001) 341 [hep-ph/0011094].
    • (2001) Nucl. Phys. B , vol.601 , pp. 341
    • Anastasiou, C.1    Glover, E.2    Oleari, C.3    Tejeda-Yeomans, M.4
  • 45
    • 0035797186 scopus 로고    scopus 로고
    • Two loop QCD corrections to massless quark gluon scattering
    • [hep-ph/0101304]
    • C. Anastasiou, E. Glover, C. Oleari and M. Tejeda-Yeomans, Two loop QCD corrections to massless quark gluon scattering, Nucl. Phys. B 605 (2001) 486 [hep-ph/0101304].
    • (2001) Nucl. Phys. B , vol.605 , pp. 486
    • Anastasiou, C.1    Glover, E.2    Oleari, C.3    Tejeda-Yeomans, M.4
  • 46
    • 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
  • 47
    • 0000312317 scopus 로고
    • Integration by parts: The algorithm to calculate β-functions in 4 loops
    • K. Chetyrkin and F. Tkachov, Integration by parts: the algorithm to calculate β-functions in 4 loops, Nucl. Phys. B 192 (1981) 159.
    • (1981) Nucl. Phys. B , vol.192 , pp. 159
    • Chetyrkin, K.1    Tkachov, F.2
  • 48
    • 79952211280 scopus 로고    scopus 로고
    • Towards a basis for planar two-loop integrals
    • [arXiv:1009.0472]
    • J. Gluza, K. Kajda and D.A. Kosower, Towards a basis for planar two-loop integrals, Phys. Rev. D 83 (2011) 045012 [arXiv:1009.0472].
    • (2011) Phys. Rev. D , vol.83 , pp. 045012
    • Gluza, J.1    Kajda, K.2    Kosower, D.A.3
  • 49
    • 84857314269 scopus 로고    scopus 로고
    • A new algorithm for the generation of unitarity-compatible integration by parts relations
    • [arXiv:1111.4220]
    • R.M. Schabinger, A new algorithm for the generation of unitarity-compatible integration by parts relations, JHEP 01 (2012) 077 [arXiv:1111.4220].
    • (2012) JHEP , vol.1 , pp. 077
    • Schabinger, R.M.1
  • 50
    • 84857767027 scopus 로고    scopus 로고
    • Maximal unitarity at two loops
    • [arXiv:1108.1180]
    • D.A. Kosower and K.J. Larsen, Maximal unitarity at two loops, Phys. Rev. D 85 (2012) 045017 [arXiv:1108.1180].
    • (2012) Phys. Rev. D , vol.85 , pp. 045017
    • Kosower, D.A.1    Larsen, K.J.2
  • 51
    • 81255169889 scopus 로고    scopus 로고
    • On the integrand-reduction method for two-loop scattering amplitudes
    • [arXiv:1107.6041]
    • P. Mastrolia and G. Ossola, On the integrand-reduction method for two-loop scattering amplitudes, JHEP 11 (2011) 014 [arXiv:1107.6041].
    • (2011) JHEP , vol.11 , pp. 014
    • Mastrolia, P.1    Ossola, G.2
  • 52
    • 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
  • 53
    • 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
  • 54
    • 33645509279 scopus 로고    scopus 로고
    • Applying Grobner bases to solve reduction problems for Feynman integrals
    • [hep-lat/0509187]
    • A. Smirnov and V.A. Smirnov, Applying Grobner bases to solve reduction problems for Feynman integrals, JHEP 01 (2006) 001 [hep-lat/0509187].
    • (2006) JHEP , vol.1 , pp. 001
    • Smirnov, A.1    Smirnov, V.A.2
  • 55
    • 33646399150 scopus 로고    scopus 로고
    • An algorithm to construct Grobner bases for solving integration by parts relations
    • [hep-ph/0602078]
    • A. Smirnov, An algorithm to construct Grobner bases for solving integration by parts relations, JHEP 04 (2006) 026 [hep-ph/0602078].
    • (2006) JHEP , vol.4 , pp. 026
    • Smirnov, A.1
  • 56
    • 49749106610 scopus 로고    scopus 로고
    • Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals
    • [arXiv:0804.3008]
    • R. Lee, Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals, JHEP 07 (2008) 031 [arXiv:0804.3008].
    • (2008) JHEP , vol.7 , pp. 031
    • Lee, R.1
  • 57
    • 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
  • 58
    • 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
  • 59
    • 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
  • 61
    • 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
  • 62
    • 0034736841 scopus 로고    scopus 로고
    • Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators
    • [hep-ph/9907385]
    • V.A. Smirnov and O. Veretin, Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators, Nucl. Phys. B 566 (2000) 469 [hep-ph/9907385].
    • (2000) Nucl. Phys. B , vol.566 , pp. 469
    • Smirnov, V.A.1    Veretin, O.2
  • 63
    • 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
  • 64
    • 0001626271 scopus 로고    scopus 로고
    • The tensor reduction and master integrals of the two loop massless crossed box with lightlike legs
    • [hep-ph/0003261]
    • C. Anastasiou, T. Gehrmann, C. Oleari, E. Remiddi and J. Tausk, The tensor reduction and master integrals of the two loop massless crossed box with lightlike legs, Nucl. Phys. B 580 (2000) 577 [hep-ph/0003261].
    • (2000) Nucl. Phys. B , vol.580 , pp. 577
    • Anastasiou, C.1    Gehrmann, T.2    Oleari, C.3    Remiddi, E.4    Tausk, J.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.