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Volumn 2012, Issue 8, 2012, Pages

An integrand reconstruction method for three-loop amplitudes

Author keywords

QCD; Scattering Amplitudes; Supersymmetric gauge theory

Indexed keywords


EID: 84865230937     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP08(2012)065     Document Type: Article
Times cited : (48)

References (30)
  • 1
    • 68949127199 scopus 로고    scopus 로고
    • The ultraviolet behavior of N = 8 supergravity at four loops
    • arXiv:0905.2326
    • Z. Bern, J. Carrasco, L.J. Dixon, H. Johansson and R. Roiban, The ultraviolet behavior of N = 8 supergravity at four loops, Phys. Rev. Lett. 103 (2009) 081301 arXiv:0905.2326.
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 081301
    • Bern, Z.1    Carrasco, J.2    Dixon, L.J.3    Johansson, H.4    Roiban, R.5
  • 2
    • 78651317930 scopus 로고    scopus 로고
    • The complete four-loop four-point amplitude in n = 4 super-yang-mills theory
    • arXiv:1008.3327
    • Z. Bern, J. Carrasco, L.J. Dixon, H. Johansson and R. Roiban, The complete four-loop four-point amplitude in N = 4 super-Yang-Mills theory, Phys. Rev. D 82 (2010) 125040 arXiv:1008.3327.
    • (2010) Phys. Rev. D , vol.82 , pp. 125040
    • Bern, Z.1    Carrasco, J.2    Dixon, L.J.3    Johansson, H.4    Roiban, R.5
  • 3
    • 84861622104 scopus 로고    scopus 로고
    • Absence of three-loop four-point divergences in N = 4 supergravity
    • arXiv:1202.3423
    • Z. Bern, S. Davies, T. Dennen and Y.-t. Huang, Absence of three-loop four-point divergences in N = 4 supergravity, Phys. Rev. Lett. 108 (2012) 201301 arXiv:1202.3423.
    • (2012) Phys. Rev. Lett. , vol.108 , pp. 201301
    • Bern, Z.1    Davies, S.2    Dennen, T.3    Huang, Y.-T.4
  • 4
    • 80755187641 scopus 로고    scopus 로고
    • Generic multiloop methods and application to N = 4 super-Yang-Mills
    • arXiv:1103.3298
    • J.J.M. Carrasco and H. Johansson, Generic multiloop methods and application to N = 4 super-Yang-Mills, J. Phys. A 44 (2011) 454004 arXiv:1103.3298.
    • (2011) J. Phys. A , vol.44 , pp. 454004
    • Carrasco, J.J.M.1    Johansson, H.2
  • 5
    • 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
  • 6
    • 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
  • 7
    • 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
  • 8
    • 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
  • 9
    • 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
  • 10
    • 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
  • 11
    • 84860289210 scopus 로고    scopus 로고
    • Hepta-cuts of two-loop scattering amplitudes
    • arXiv:1202.2019
    • S. Badger, H. Frellesvig and Y. Zhang, Hepta-cuts of two-loop scattering amplitudes, JHEP 04 (2012) 055 arXiv:1202.2019.
    • (2012) JHEP , vol.4 , pp. 055
    • Badger, S.1    Frellesvig, H.2    Zhang, Y.3
  • 17
    • 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
  • 18
    • 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
  • 19
    • 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
  • 20
    • 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
  • 21
    • 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
  • 22
    • 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
  • 23
    • 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
  • 24
    • 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
  • 26
    • 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
  • 27
    • 47249096199 scopus 로고    scopus 로고
    • Optimizing the reduction of one-loop amplitudes
    • arXiv:0803.3964
    • P. Mastrolia, G. Ossola, C. Papadopoulos and R. Pittau, Optimizing the reduction of one-loop amplitudes, JHEP 06 (2008) 030 arXiv:0803.3964.
    • (2008) JHEP , vol.6 , pp. 030
    • Mastrolia, P.1    Ossola, G.2    Papadopoulos, C.3    Pittau, R.4
  • 29
    • 0041736135 scopus 로고    scopus 로고
    • Analytical result for dimensionally regularized massless on shell planar triple box
    • hep-ph/0305142
    • V.A. Smirnov, Analytical result for dimensionally regularized massless on shell planar triple box, Phys. Lett. B 567 (2003) 193 hep-ph/0305142.
    • (2003) Phys. Lett. B , vol.567 , pp. 193
    • Smirnov, V.A.1
  • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.