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Volumn 2008, Issue 6, 2008, Pages

Optimizing the reduction of one-loop amplitudes

Author keywords

NLO computations; Standard model

Indexed keywords


EID: 47249096199     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/06/030     Document Type: Article
Times cited : (96)

References (63)
  • 1
    • 84891657377 scopus 로고    scopus 로고
    • The one-loop amplitude for six-gluon scattering
    • R.K. Ellis, W.T. Giele and G. Zanderighi, The one-loop amplitude for six-gluon scattering 2006 J. High Energy Phys. JHEP05(2006)027 [hep-ph/0602185]
    • (2006) J. High Energy Phys. , vol.2006 , Issue.5 , pp. 027
    • Ellis, R.K.1    Giele, W.T.2    Zanderighi, G.3
  • 2
    • 33748182007 scopus 로고    scopus 로고
    • Bootstrapping one-loop QCD amplitudes with general helicities
    • C.F. Berger, Z. Bern, L.J. Dixon, D. Forde and D.A. Kosower, Bootstrapping one-loop QCD amplitudes with general helicities 2006 Phys. Rev. D 74 036009 [hep-ph/0604195]
    • (2006) Phys. Rev. , vol.74 , Issue.3 , pp. 036009
    • Berger, C.F.1    Bern, Z.2    Dixon, L.J.3    Forde, D.4    Kosower, D.A.5
  • 3
    • 33644776173 scopus 로고    scopus 로고
    • Recursive calculation of one-loop QCD integral coefficients
    • Z. Bern, N.E.J. Bjerrum-Bohr, D.C. Dunbar and H. Ita, Recursive calculation of one-loop QCD integral coefficients 2005 J. High Energy Phys. JHEP11(2005)027 [hep-ph/0507019]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.11 , pp. 027
    • Bern, Z.1    Bjerrum-Bohr, N.E.J.2    Dunbar, D.C.3    Ita, H.4
  • 4
    • 27544452373 scopus 로고    scopus 로고
    • An algebraic/numerical formalism for one-loop multi-leg amplitudes
    • T. Binoth, J.P. Guillet, G. Heinrich, E. Pilon and C. Schubert, An algebraic/numerical formalism for one-loop multi-leg amplitudes 2005 J. High Energy Phys. JHEP10(2005)015 [hep-ph/0504267]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.10 , pp. 015
    • Binoth, T.1    Guillet, J.P.2    Heinrich, G.3    Pilon, E.4    Schubert, C.5
  • 5
    • 15344346498 scopus 로고    scopus 로고
    • Non-supersymmetric loop amplitudes and MHV vertices
    • J. Bedford, A. Brandhuber, B.J. Spence and G. Travaglini, Non-supersymmetric loop amplitudes and MHV vertices 2005 Nucl. Phys. B 712 59 [hep-th/0412108]
    • (2005) Nucl. Phys. , vol.712 , Issue.1-2 , pp. 59
    • Bedford, J.1    Brandhuber, A.2    Spence, B.J.3    Travaglini, G.4
  • 6
    • 17444440710 scopus 로고    scopus 로고
    • Full O(α) electroweak corrections to double Higgs-Strahlung at the linear collider
    • G. Bélanger et al., Full O(α) electroweak corrections to double Higgs-Strahlung at the linear collider 2003 Phys. Lett. B 576 152 [hep-ph/0309010]
    • (2003) Phys. Lett. , vol.576 , Issue.1-2 , pp. 152
    • Bélanger, G.1
  • 7
    • 0037433844 scopus 로고    scopus 로고
    • Reduction of one-loop tensor 5-point integrals
    • A. Denner and S. Dittmaier, Reduction of one-loop tensor 5-point integrals 2003 Nucl. Phys. B 658 175 [hep-ph/0212259]
    • (2003) Nucl. Phys. , vol.658 , Issue.1-2 , pp. 175
    • Denner, A.1    Dittmaier, S.2
  • 8
    • 29544438846 scopus 로고    scopus 로고
    • Reduction schemes for one-loop tensor integrals
    • A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals 2006 Nucl. Phys. B 734 62 [hep-ph/0509141]
    • (2006) Nucl. Phys. , vol.734 , Issue.1-2 , pp. 62
    • Denner, A.1    Dittmaier, S.2
  • 10
    • 26444436384 scopus 로고    scopus 로고
    • Electroweak corrections to charged-current e+e- 4 fermion processes: Technical details and further results
    • - 4 fermion processes: technical details and further results 2005 Nucl. Phys. B 724 247 [hep-ph/0505042]
    • (2005) Nucl. Phys. , vol.724 , Issue.1-2 , pp. 247
    • Denner, A.1    Dittmaier, S.2    Roth, M.3    Wieders, L.H.4
  • 16
    • 33751178614 scopus 로고    scopus 로고
    • Numerical integration of one-loop Feynman diagrams for N- photon amplitudes
    • Z. Nagy and D.E. Soper, Numerical integration of one-loop Feynman diagrams for N- photon amplitudes 2006 Phys. Rev. D 74 093006 [hep-ph/0610028]
    • (2006) Phys. Rev. , vol.74 , Issue.9 , pp. 093006
    • Nagy, Z.1    Soper, D.E.2
  • 17
    • 0037415267 scopus 로고    scopus 로고
    • All-purpose numerical evaluation of one-loop multi-leg Feynman diagrams
    • A. Ferroglia, M. Passera, G. Passarino and S. Uccirati, All-purpose numerical evaluation of one-loop multi-leg Feynman diagrams 2003 Nucl. Phys. B 650 162 [hep-ph/0209219]
    • (2003) Nucl. Phys. , vol.650 , Issue.1-2 , pp. 162
    • Ferroglia, A.1    Passera, M.2    Passarino, G.3    Uccirati, S.4
  • 20
    • 0000632007 scopus 로고
    • One loop n point gauge theory amplitudes, unitarity and collinear limits
    • Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits 1994 Nucl. Phys. B 425 217 [hep-ph/9403226]
    • (1994) Nucl. Phys. , vol.425 , Issue.1-2 , pp. 217
    • Bern, Z.1    Dixon, L.J.2    Dunbar, D.C.3    Kosower, D.A.4
  • 21
    • 0003149712 scopus 로고
    • Fusing gauge theory tree amplitudes into loop amplitudes
    • Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes 1995 Nucl. Phys. B 435 59 [hep-ph/9409265]
    • (1995) Nucl. Phys. , vol.435 , Issue.1-2 , pp. 59
    • Bern, Z.1    Dixon, L.J.2    Dunbar, D.C.3    Kosower, D.A.4
  • 22
    • 23044473667 scopus 로고    scopus 로고
    • Gauge theory amplitudes in twistor space and holomorphic anomaly
    • F. Cachazo, P. Svrcek and E. Witten, Gauge theory amplitudes in twistor space and holomorphic anomaly 2004 J. High Energy Phys. JHEP10(2004)077 [hep-th/0409245]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.10 , pp. 077
    • Cachazo, F.1    Svrcek, P.2    Witten, E.3
  • 25
    • 84927737565 scopus 로고    scopus 로고
    • Computing one-loop amplitudes from the holomorphic anomaly of unitarity cuts
    • R. Britto, F. Cachazo and B. Feng, Computing one-loop amplitudes from the holomorphic anomaly of unitarity cuts 2005 Phys. Rev. D 71 025012 [hep-th/0410179]
    • (2005) Phys. Rev. , vol.71 , Issue.2 , pp. 025012
    • Britto, R.1    Cachazo, F.2    Feng, B.3
  • 26
    • 24344485193 scopus 로고    scopus 로고
    • Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills
    • R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills 2005 Nucl. Phys. B 725 275 [hep-th/0412103]
    • (2005) Nucl. Phys. , vol.725 , Issue.1-2 , pp. 275
    • Britto, R.1    Cachazo, F.2    Feng, B.3
  • 27
    • 29744435862 scopus 로고    scopus 로고
    • One-loop amplitudes of gluons in SQCD
    • R. Britto, E. Buchbinder, F. Cachazo and B. Feng, One-loop amplitudes of gluons in SQCD 2005 Phys. Rev. D 72 065012 [hep-ph/0503132]
    • (2005) Phys. Rev. , vol.72 , Issue.6 , pp. 065012
    • Britto, R.1    Buchbinder, E.2    Cachazo, F.3    Feng, B.4
  • 28
    • 27544511311 scopus 로고    scopus 로고
    • Loop amplitudes in pure Yang-Mills from generalised unitarity
    • A. Brandhuber, S. McNamara, B.J. Spence and G. Travaglini, Loop amplitudes in pure Yang-Mills from generalised unitarity 2005 J. High Energy Phys. JHEP10(2005)011 [hep-th/0506068]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.10 , pp. 011
    • Brandhuber, A.1    McNamara, S.2    Spence, B.J.3    Travaglini, G.4
  • 29
    • 33646378186 scopus 로고    scopus 로고
    • The cut-constructible part of QCD amplitudes
    • R. Britto, B. Feng and P. Mastrolia, The cut-constructible part of QCD amplitudes 2006 Phys. Rev. D 73 105004 [hep-ph/0602178]
    • (2006) Phys. Rev. , vol.73 , Issue.10 , pp. 105004
    • Britto, R.1    Feng, B.2    Mastrolia, P.3
  • 31
    • 33845628572 scopus 로고    scopus 로고
    • On triple-cut of scattering amplitudes
    • P. Mastrolia, On triple-cut of scattering amplitudes 2007 Phys. Lett. B 644 272 [hep-th/0611091]
    • (2007) Phys. Lett. , vol.644 , Issue.4 , pp. 272
    • Mastrolia, P.1
  • 32
    • 34347397863 scopus 로고    scopus 로고
    • Unitarity cuts with massive propagators and algebraic expressions for coefficients
    • R. Britto and B. Feng, Unitarity cuts with massive propagators and algebraic expressions for coefficients 2007 Phys. Rev. D 75 105006 [hep-ph/0612089]
    • (2007) Phys. Rev. , vol.75 , Issue.10 , pp. 105006
    • Britto, R.1    Feng, B.2
  • 33
    • 33947663599 scopus 로고    scopus 로고
    • Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes
    • 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 2007 J. High Energy Phys. JHEP03(2007)111 [hep-ph/0612277]
    • (2007) J. High Energy Phys. , vol.2007 , Issue.3 , pp. 111
    • Anastasiou, C.1    Britto, R.2    Feng, B.3    Kunszt, Z.4    Mastrolia, P.5
  • 34
    • 40549116981 scopus 로고    scopus 로고
    • Integral coefficients for one-loop amplitudes
    • R. Britto and B. Feng, Integral coefficients for one-loop amplitudes 2008 J. High Energy Phys. JHEP02(2008)095 [0711.4284]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.2 , pp. 095
    • Britto, R.1    Feng, B.2
  • 35
    • 33846011109 scopus 로고    scopus 로고
    • Reducing full one-loop amplitudes to scalar integrals at the integrand level
    • G. Ossola, C.G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level 2007 Nucl. Phys. B 763 147 [hep-ph/0609007]
    • (2007) Nucl. Phys. , vol.763 , Issue.1-2 , pp. 147
    • Ossola, G.1    Papadopoulos, C.G.2    Pittau, R.3
  • 36
    • 34547665038 scopus 로고    scopus 로고
    • Numerical evaluation of six-photon amplitudes
    • G. Ossola, C.G. Papadopoulos and R. Pittau, Numerical evaluation of six-photon amplitudes 2007 J. High Energy Phys. JHEP07(2007)085 [0704.1271]
    • (2007) J. High Energy Phys. , vol.2007 , Issue.7 , pp. 085
    • Ossola, G.1    Papadopoulos, C.G.2    Pittau, R.3
  • 37
    • 43049151516 scopus 로고    scopus 로고
    • CutTools: A program implementing the OPP reduction method to compute one-loop amplitudes
    • G. Ossola, C.G. Papadopoulos and R. Pittau, CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes 2008 J. High Energy Phys. JHEP03(2008)042 [0711.3596]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.3 , pp. 042
    • Ossola, G.1    Papadopoulos, C.G.2    Pittau, R.3
  • 38
    • 47249115748 scopus 로고    scopus 로고
    • On the rational terms of the one-loop amplitudes
    • G. Ossola, C.G. Papadopoulos and R. Pittau, On the rational terms of the one-loop amplitudes 2008 J. High Energy Phys. JHEP05(2008)004 [0802.1876]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.5 , pp. 004
    • Ossola, G.1    Papadopoulos, C.G.2    Pittau, R.3
  • 39
    • 34347379293 scopus 로고    scopus 로고
    • Direct extraction of one-loop integral coefficients
    • D. Forde, Direct extraction of one-loop integral coefficients 2007 Phys. Rev. D 75 125019 [0704.1835]
    • (2007) Phys. Rev. , vol.75 , Issue.12 , pp. 125019
    • Forde, D.1
  • 41
    • 44449151245 scopus 로고    scopus 로고
    • Analytic structure of three-mass triangle coefficients
    • N.E.J. Bjerrum-Bohr, D.C. Dunbar and W.B. Perkins, Analytic structure of three-mass triangle coefficients 2008 J. High Energy Phys. JHEP04(2008)038 [0709.2086]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.4 , pp. 038
    • Bjerrum-Bohr, N.E.J.1    Dunbar, D.C.2    Perkins, W.B.3
  • 42
    • 43049083695 scopus 로고    scopus 로고
    • A numerical unitarity formalism for evaluating one-loop amplitudes
    • R.K. Ellis, W.T. Giele and Z. Kunszt, A numerical unitarity formalism for evaluating one-loop amplitudes 2008 J. High Energy Phys. JHEP03(2008)003 [0708.2398]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.3 , pp. 003
    • Ellis, R.K.1    Giele, W.T.2    Kunszt, Z.3
  • 43
    • 44449166767 scopus 로고    scopus 로고
    • Full one-loop amplitudes from tree amplitudes
    • W.T. Giele, Z. Kunszt and K. Melnikov, Full one-loop amplitudes from tree amplitudes 2008 J. High Energy Phys. JHEP04(2008)049 [0801.2237]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.4 , pp. 049
    • Giele, W.T.1    Kunszt, Z.2    Melnikov, K.3
  • 45
    • 0000994632 scopus 로고
    • Dimensionally regulated one loop integrals
    • Z. Bern, L.J. Dixon and D.A. Kosower, Dimensionally regulated one loop integrals 1993 Phys. Lett. B 302 299 [Erratum 1993 Phys. Lett. 318 649] [hep-ph/9212308]
    • (1993) Phys. Lett. , vol.302 , Issue.2-3 , pp. 299
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 46
    • 0042103338 scopus 로고
    • Dimensionally regulated pentagon integrals
    • Z. Bern, L.J. Dixon and D.A. Kosower, Dimensionally regulated pentagon integrals 1994 Nucl. Phys. B 412 751 [hep-ph/9306240]
    • (1994) Nucl. Phys. , vol.412 , Issue.3 , pp. 751
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 47
    • 0034736738 scopus 로고    scopus 로고
    • Algebraic reduction of one-loop Feynman graph amplitudes
    • J. Fleischer, F. Jegerlehner and O.V. Tarasov, Algebraic reduction of one-loop Feynman graph amplitudes 2000 Nucl. Phys. B 566 423 [hep-ph/9907327]
    • (2000) Nucl. Phys. , vol.566 , Issue.1-2 , pp. 423
    • Fleischer, J.1    Jegerlehner, F.2    Tarasov, O.V.3
  • 48
    • 0034678180 scopus 로고    scopus 로고
    • Reduction formalism for dimensionally regulated one-loop N-point integrals
    • T. Binoth, J.P. Guillet and G. Heinrich, Reduction formalism for dimensionally regulated one-loop N-point integrals 2000 Nucl. Phys. B 572 361 [hep-ph/9911342]
    • (2000) Nucl. Phys. , vol.572 , Issue.1-2 , pp. 361
    • Binoth, T.1    Guillet, J.P.2    Heinrich, G.3
  • 49
    • 3042594091 scopus 로고    scopus 로고
    • Reduction method for dimensionally regulated one-loop N-point Feynman integrals
    • G. Duplancic and B. Nizic, Reduction method for dimensionally regulated one-loop N-point Feynman integrals 2004 Eur. Phys. J. C 35 105 [hep-ph/0303184]
    • (2004) Eur. Phys. J. , vol.35 , Issue.1 , pp. 105
    • Duplancic, G.1    Nizic, B.2
  • 50
    • 40549123371 scopus 로고    scopus 로고
    • Scalar one-loop integrals for QCD
    • R.K. Ellis and G. Zanderighi, Scalar one-loop integrals for QCD 2008 J. High Energy Phys. JHEP02(2008)002 [0712.1851]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.2 , pp. 002
    • Ellis, R.K.1    Zanderighi, G.2
  • 53
    • 23044502540 scopus 로고    scopus 로고
    • Recursive numerical calculus of one-loop tensor integrals
    • F. del Aguila and R. Pittau, Recursive numerical calculus of one-loop tensor integrals 2004 J. High Energy Phys. JHEP07(2004)017 [hep-ph/0404120]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.7 , pp. 017
    • Del Aguila, F.1    Pittau, R.2
  • 55
    • 33947636685 scopus 로고    scopus 로고
    • Algebraic evaluation of rational polynomials in one-loop amplitudes
    • T. Binoth, J.P. Guillet and G. Heinrich, Algebraic evaluation of rational polynomials in one-loop amplitudes 2007 J. High Energy Phys. JHEP02(2007)013 [hep-ph/0609054]
    • (2007) J. High Energy Phys. , vol.2007 , Issue.2 , pp. 013
    • Binoth, T.1    Guillet, J.P.2    Heinrich, G.3
  • 56
    • 33750620007 scopus 로고    scopus 로고
    • The rational part of QCD amplitude. I: The general formalism
    • Z. Xiao, G. Yang and C.-J. Zhu, The rational part of QCD amplitude. I: the general formalism 2006 Nucl. Phys. B 758 1 [hep-ph/0607015]
    • (2006) Nucl. Phys. , vol.758 , Issue.1-2 , pp. 1
    • Xiao, Z.1    Yang, G.2    Zhu, C.-J.3
  • 57
    • 33750619524 scopus 로고    scopus 로고
    • The rational part of QCD amplitude. II: The five-gluon
    • X. Su, Z. Xiao, G. Yang and C.-J. Zhu, The rational part of QCD amplitude. II: the five-gluon 2006 Nucl. Phys. B 758 35 [hep-ph/0607016]
    • (2006) Nucl. Phys. , vol.758 , Issue.1-2 , pp. 35
    • Su, X.1    Xiao, Z.2    Yang, G.3    Zhu, C.-J.4
  • 58
    • 33644893319 scopus 로고    scopus 로고
    • Bootstrapping multi-parton loop amplitudes in QCD
    • Z. Bern, L.J. Dixon and D.A. Kosower, Bootstrapping multi-parton loop amplitudes in QCD 2006 Phys. Rev. D 73 065013 [hep-ph/0507005]
    • (2006) Phys. Rev. , vol.73 , Issue.6 , pp. 065013
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 59
    • 34547652583 scopus 로고    scopus 로고
    • One-loop phi-MHV amplitudes using the unitarity bootstrap
    • S.D. Badger, E.W.N. Glover and K. Risager, One-loop phi-MHV amplitudes using the unitarity bootstrap 2007 J. High Energy Phys. JHEP07(2007)066 [0704.3914]
    • (2007) J. High Energy Phys. , vol.2007 , Issue.7 , pp. 066
    • Badger, S.D.1    Glover, E.W.N.2    Risager, K.3
  • 61
    • 0031207949 scopus 로고    scopus 로고
    • A simple method for multi-leg loop calculations
    • R. Pittau, A simple method for multi-leg loop calculations 1997 Comput. Phys. Commun. 104 23 [hep-ph/9607309]
    • (1997) Comput. Phys. Commun. , vol.104 , Issue.1-3 , pp. 23
    • Pittau, R.1
  • 62
    • 0032099103 scopus 로고    scopus 로고
    • A simple method for multi-leg loop calculations. II: A general algorithm
    • T. Binoth, G. Ossola, C.G. Papadopoulos and R. Pittau, A simple method for multi-leg loop calculations. II: a general algorithm 1998 Comput. Phys. Commun. 111 48 [hep-ph/9712418]
    • (1998) Comput. Phys. Commun. , vol.111 , Issue.1-3 , pp. 48
    • Binoth, T.1    Ossola, G.2    Papadopoulos, C.G.3    Pittau, R.4
  • 63
    • 21544454684 scopus 로고    scopus 로고
    • Automated computation of one-loop integrals in massless theories
    • A. van Hameren, J. Vollinga and S. Weinzierl, Automated computation of one-loop integrals in massless theories 2005 Eur. Phys. J. C 41 361 [hep-ph/0502165]
    • (2005) Eur. Phys. J. , vol.41 , Issue.3 , pp. 361
    • Van Hameren, A.1    Vollinga, J.2    Weinzierl, S.3


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