메뉴 건너뛰기




Volumn 758, Issue 1-2, 2006, Pages 1-34

The rational parts of one-loop QCD amplitudes I: The general formalism

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33750620007     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2006.09.008     Document Type: Article
Times cited : (44)

References (127)
  • 1
    • 33750626875 scopus 로고    scopus 로고
    • Invited talk at 22nd International Symposium on Lepton-Photon Interactions at High Energy (LP 2005), Uppsala, Sweden, 30 June-5 July 2005. hep-ph/0510090
    • Salam G.P. Developments in perturbative QCD. Invited talk at 22nd International Symposium on Lepton-Photon Interactions at High Energy (LP 2005), Uppsala, Sweden, 30 June-5 July 2005. hep-ph/0510090
    • Developments in perturbative QCD
    • Salam, G.P.1
  • 2
    • 23044502028 scopus 로고    scopus 로고
    • Talk presented by Z. Bern at Strings 1993, 24-29 May, Berkeley CA, USA. hep-th/9311026
    • Bern Z., Dixon L., and Kosower D.A. New QCD results from string theory. Talk presented by Z. Bern at Strings 1993, 24-29 May, Berkeley CA, USA. hep-th/9311026
    • New QCD results from string theory
    • Bern, Z.1    Dixon, L.2    Kosower, D.A.3
  • 3
    • 4243801282 scopus 로고
    • One-loop N gluon amplitudes with maximal helicity violation via collinear limits
    • hep-ph/9312333
    • Bern Z., Chalmers G., Dixon L., and Kosower D.A. One-loop N gluon amplitudes with maximal helicity violation via collinear limits. Phys. Rev. Lett. 72 (1994) 2134-2137. hep-ph/9312333
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2134-2137
    • Bern, Z.1    Chalmers, G.2    Dixon, L.3    Kosower, D.A.4
  • 4
    • 0000632007 scopus 로고
    • One-loop n-point gauge theory amplitudes, unitarity and collinear limits
    • hep-ph/9403226
    • Bern Z., Dixon L., Dunbar D.C., and Kosower D.A. One-loop n-point gauge theory amplitudes, unitarity and collinear limits. Nucl. Phys. B 425 (1994) 217-260. hep-ph/9403226
    • (1994) Nucl. Phys. B , vol.425 , pp. 217-260
    • Bern, Z.1    Dixon, L.2    Dunbar, D.C.3    Kosower, D.A.4
  • 5
    • 0003149712 scopus 로고
    • Fusing gauge theory tree amplitudes into loop amplitudes
    • hep-ph/9409265
    • Bern Z., Dixon L., Dunbar D.C., and Kosower D.A. Fusing gauge theory tree amplitudes into loop amplitudes. Nucl. Phys. B 435 (1995) 59-101. hep-ph/9409265
    • (1995) Nucl. Phys. B , vol.435 , pp. 59-101
    • Bern, Z.1    Dixon, L.2    Dunbar, D.C.3    Kosower, D.A.4
  • 6
    • 0001245932 scopus 로고
    • One loop multiphoton helicity amplitudes
    • hep-ph/9311213
    • Mahlon G. One loop multiphoton helicity amplitudes. Phys. Rev. D 49 (1994) 2197-2210. hep-ph/9311213
    • (1994) Phys. Rev. D , vol.49 , pp. 2197-2210
    • Mahlon, G.1
  • 7
    • 30244549121 scopus 로고
    • Multigluon helicity amplitudes involving a quark loop
    • hep-ph/9312276
    • Mahlon G. Multigluon helicity amplitudes involving a quark loop. Phys. Rev. D 49 (1994) 4438-4453. hep-ph/9312276
    • (1994) Phys. Rev. D , vol.49 , pp. 4438-4453
    • Mahlon, G.1
  • 8
    • 0000391896 scopus 로고    scopus 로고
    • Calculation of 1-loop hexagon amplitudes in the Yukawa model
    • hep-ph/0106243
    • Binoth T., Guillet J.P., Heinrich G., and Schubert C. Calculation of 1-loop hexagon amplitudes in the Yukawa model. Nucl. Phys. B 615 (2001) 385-401. hep-ph/0106243
    • (2001) Nucl. Phys. B , vol.615 , pp. 385-401
    • Binoth, T.1    Guillet, J.P.2    Heinrich, G.3    Schubert, C.4
  • 9
    • 33750614328 scopus 로고    scopus 로고
    • For a summary of the present status, see, for example. Les Houches Physics at TeV Colliders 2005, Standard Model and Higgs working group: Summary report. hep-ph/0604120
    • For a summary of the present status, see, for example. Buttar C., Dittmaier S., et al. Les Houches Physics at TeV Colliders 2005, Standard Model and Higgs working group: Summary report. hep-ph/0604120
    • Buttar, C.1    Dittmaier, S.2
  • 10
    • 4243862180 scopus 로고
    • One loop corrections to five gluon amplitudes
    • Bern Z., Dixon L.J., and Kosower D.A. One loop corrections to five gluon amplitudes. Phys. Rev. Lett. 70 (1993) 2677-2680
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 2677-2680
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 13
    • 26444436384 scopus 로고    scopus 로고
    • - → 4 fermion processes-technical details and further results
    • hep-ph/0505042
    • - → 4 fermion processes-technical details and further results. Nucl. Phys. B 724 (2005) 247-294. hep-ph/0505042
    • (2005) Nucl. Phys. B , vol.724 , pp. 247-294
    • Denner, A.1    Dittmaier, S.2    Roth, M.3    Wieders, L.H.4
  • 14
    • 29544438846 scopus 로고    scopus 로고
    • Reduction schemes for one-loop tensor integrals
    • hep-ph/0509141
    • Denner A., and Dittmaier S. Reduction schemes for one-loop tensor integrals. Nucl. Phys. B 734 (2006) 62-115. hep-ph/0509141
    • (2006) Nucl. Phys. B , vol.734 , pp. 62-115
    • Denner, A.1    Dittmaier, S.2
  • 15
    • 84891657377 scopus 로고    scopus 로고
    • The one-loop amplitude for six-gluon scattering
    • hep-ph/0602185
    • Ellis R.K., Giele W.T., and Zanderighi G. The one-loop amplitude for six-gluon scattering. JHEP 0605 (2006) 027. hep-ph/0602185
    • (2006) JHEP , vol.605 , pp. 027
    • Ellis, R.K.1    Giele, W.T.2    Zanderighi, G.3
  • 16
    • 29844441372 scopus 로고    scopus 로고
    • Semi-numerical evaluation of one-loop corrections
    • hep-ph/0508308
    • Ellis R.K., Giele W.T., and Zanderighi G. Semi-numerical evaluation of one-loop corrections. Phys. Rev. D 72 (2005) 054018. hep-ph/0508308
    • (2005) Phys. Rev. D , vol.72 , pp. 054018
    • Ellis, R.K.1    Giele, W.T.2    Zanderighi, G.3
  • 17
    • 23044456391 scopus 로고    scopus 로고
    • A calculational formalism for one-loop integrals
    • hep-th/0402152
    • Giele W.T., and Glover E.W.N. A calculational formalism for one-loop integrals. JHEP 0404 (2004) 029. hep-th/0402152
    • (2004) JHEP , vol.404 , pp. 029
    • Giele, W.T.1    Glover, E.W.N.2
  • 18
    • 27544452373 scopus 로고    scopus 로고
    • An algebraic/numerical formalism for one-loop multi-leg amplitudes
    • hep-ph/0504267
    • Binoth T., Guillet J.Ph., Heinrich G., Pilon E., and Schubert C. An algebraic/numerical formalism for one-loop multi-leg amplitudes. JHEP 0510 (2005) 015. hep-ph/0504267
    • (2005) JHEP , vol.510 , pp. 015
    • Binoth, T.1    Guillet, J.Ph.2    Heinrich, G.3    Pilon, E.4    Schubert, C.5
  • 19
    • 0037463716 scopus 로고    scopus 로고
    • A numerical evaluation of the scalar hexagon integral in the physical region
    • hep-ph/0210023
    • Binoth T., Heinrich G., and Kauer N. A numerical evaluation of the scalar hexagon integral in the physical region. Nucl. Phys. B 654 (2003) 277-300. hep-ph/0210023
    • (2003) Nucl. Phys. B , vol.654 , pp. 277-300
    • Binoth, T.1    Heinrich, G.2    Kauer, N.3
  • 21
    • 23044502540 scopus 로고    scopus 로고
    • Recursive numerical calculus of one-loop tensor integrals
    • hep-ph/0404120
    • del Aguila F., and Pittau R. Recursive numerical calculus of one-loop tensor integrals. JHEP 0407 (2004) 017. hep-ph/0404120
    • (2004) JHEP , vol.407 , pp. 017
    • del Aguila, F.1    Pittau, R.2
  • 22
    • 0037415267 scopus 로고    scopus 로고
    • All-purpose numerical evaluation of one-loop multi-leg Feynman diagrams
    • hep-ph/0209219
    • Ferroglia A., Passera M., Passarino G., and Uccirati S. All-purpose numerical evaluation of one-loop multi-leg Feynman diagrams. Nucl. Phys. B 650 (2003) 162-228. hep-ph/0209219
    • (2003) Nucl. Phys. B , vol.650 , pp. 162-228
    • Ferroglia, A.1    Passera, M.2    Passarino, G.3    Uccirati, S.4
  • 23
    • 23144462516 scopus 로고    scopus 로고
    • General subtraction method for numerical calculation of one-loop QCD matrix elements
    • hep-ph/0308127
    • Nagy Z., and Soper D.E. General subtraction method for numerical calculation of one-loop QCD matrix elements. JHEP 0309 (2003) 055. hep-ph/0308127
    • (2003) JHEP , vol.309 , pp. 055
    • Nagy, Z.1    Soper, D.E.2
  • 25
    • 84860062989 scopus 로고    scopus 로고
    • Next-to-leading order numerical calculations in Coulomb gauge
    • hep-ph/0204113
    • Kramer M., and Soper D.E. Next-to-leading order numerical calculations in Coulomb gauge. Phys. Rev. D 66 (2002) 054017. hep-ph/0204113
    • (2002) Phys. Rev. D , vol.66 , pp. 054017
    • Kramer, M.1    Soper, D.E.2
  • 28
    • 11244344133 scopus 로고    scopus 로고
    • Perturbative gauge theory as a string theory in twistor space
    • hep-th/0312171
    • Witten E. Perturbative gauge theory as a string theory in twistor space. Commun. Math. Phys. 252 (2004) 189-258. hep-th/0312171
    • (2004) Commun. Math. Phys. , vol.252 , pp. 189-258
    • Witten, E.1
  • 29
    • 23044434458 scopus 로고    scopus 로고
    • MHV vertices and tree amplitudes in gauge theory
    • hep-th/0403047
    • Cachazo F., Svrček P., and Witten E. MHV vertices and tree amplitudes in gauge theory. JHEP 0409 (2004) 006. hep-th/0403047
    • (2004) JHEP , vol.409 , pp. 006
    • Cachazo, F.1    Svrček, P.2    Witten, E.3
  • 30
    • 33750632889 scopus 로고
    • A current algebra for some gauge theory amplitudes
    • Nair V. A current algebra for some gauge theory amplitudes. Phys. Lett. B 78 (1978) 464
    • (1978) Phys. Lett. B , vol.78 , pp. 464
    • Nair, V.1
  • 31
    • 26344477281 scopus 로고
    • An amplitude for N gluon scattering
    • Parke S.J., and Taylor T.R. An amplitude for N gluon scattering. Phys. Rev. Lett. 56 (1986) 2459
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 2459
    • Parke, S.J.1    Taylor, T.R.2
  • 32
    • 0000262739 scopus 로고
    • Recursive calculations for processes with N gluons
    • Berends F.A., and Giele W.T. Recursive calculations for processes with N gluons. Nucl. Phys. B 306 (1988) 759
    • (1988) Nucl. Phys. B , vol.306 , pp. 759
    • Berends, F.A.1    Giele, W.T.2
  • 33
    • 0001044265 scopus 로고
    • Multiparton amplitudes in gauge theories
    • hep-th/0509223
    • Mangano M., and Parke S.J. Multiparton amplitudes in gauge theories. Phys. Rep. 200 (1991) 301. hep-th/0509223
    • (1991) Phys. Rep. , vol.200 , pp. 301
    • Mangano, M.1    Parke, S.J.2
  • 34
    • 23044517116 scopus 로고    scopus 로고
    • The googly amplitude in gauge theory
    • hep-th/0403115
    • Zhu C.-J. The googly amplitude in gauge theory. JHEP 0404 (2004) 032. hep-th/0403115
    • (2004) JHEP , vol.404 , pp. 032
    • Zhu, C.-J.1
  • 35
    • 23044440568 scopus 로고    scopus 로고
    • Tree amplitudes in gauge theory as scalar MHV diagrams
    • hep-th/0404072
    • Georgiou G., and Khoze V.V. Tree amplitudes in gauge theory as scalar MHV diagrams. JHEP 0405 (2004) 070. hep-th/0404072
    • (2004) JHEP , vol.405 , pp. 070
    • Georgiou, G.1    Khoze, V.V.2
  • 36
    • 23044445631 scopus 로고    scopus 로고
    • Non-MHV tree amplitudes in gauge theory
    • hep-th/0407027
    • Georgiou G., Glover E.W.N., and Khoze V.V. Non-MHV tree amplitudes in gauge theory. JHEP 0407 (2004) 048. hep-th/0407027
    • (2004) JHEP , vol.407 , pp. 048
    • Georgiou, G.1    Glover, E.W.N.2    Khoze, V.V.3
  • 37
    • 85014690407 scopus 로고    scopus 로고
    • Gauge theory amplitudes, scalar graphs and twistor space
    • From Fields to Strings: Circumnavigating Theoretical Physics, World Scientific. hep-th/0408233
    • Khoze V.V. Gauge theory amplitudes, scalar graphs and twistor space. From Fields to Strings: Circumnavigating Theoretical Physics. In Memory of Ian Kogan vol. 1 (2005), World Scientific 622-657. hep-th/0408233
    • (2005) In Memory of Ian Kogan , vol.1 , pp. 622-657
    • Khoze, V.V.1
  • 38
    • 27344439469 scopus 로고    scopus 로고
    • MHV rules for Higgs plus multi-parton amplitudes
    • hep-th/0412275
    • Badger S.D., Glover E.W.N., and Khoze V.V. MHV rules for Higgs plus multi-parton amplitudes. JHEP 0503 (2005) 023. hep-th/0412275
    • (2005) JHEP , vol.503 , pp. 023
    • Badger, S.D.1    Glover, E.W.N.2    Khoze, V.V.3
  • 39
    • 23844446449 scopus 로고    scopus 로고
    • Recursion relations for gauge theory amplitudes with massive particles
    • hep-th/0504159
    • Badger S.D., Glover E.W.N., Khoze V.V., and Svrcek P. Recursion relations for gauge theory amplitudes with massive particles. JHEP 0507 (2005) 025. hep-th/0504159
    • (2005) JHEP , vol.507 , pp. 025
    • Badger, S.D.1    Glover, E.W.N.2    Khoze, V.V.3    Svrcek, P.4
  • 40
    • 33644775069 scopus 로고    scopus 로고
    • Recursion relations for gauge theory amplitudes with massive vector bosons and fermions
    • hep-th/0507161
    • Badger S.D., Glover E.W.N., and Khoze V.V. Recursion relations for gauge theory amplitudes with massive vector bosons and fermions. JHEP 0601 (2006) 066. hep-th/0507161
    • (2006) JHEP , vol.601 , pp. 066
    • Badger, S.D.1    Glover, E.W.N.2    Khoze, V.V.3
  • 41
    • 33644765775 scopus 로고    scopus 로고
    • Amplitudes in the beta-deformed conformal Yang-Mills
    • hep-th/0512194
    • Khoze V.V. Amplitudes in the beta-deformed conformal Yang-Mills. JHEP 0602 (2006) 040. hep-th/0512194
    • (2006) JHEP , vol.602 , pp. 040
    • Khoze, V.V.1
  • 42
    • 23044489262 scopus 로고    scopus 로고
    • MHV vertices and scattering amplitudes in gauge theory
    • hep-th/0406085
    • Wu J.-B., and Zhu C.-J. MHV vertices and scattering amplitudes in gauge theory. JHEP 0407 (2004) 032. hep-th/0406085
    • (2004) JHEP , vol.407 , pp. 032
    • Wu, J.-B.1    Zhu, C.-J.2
  • 43
    • 23044437966 scopus 로고    scopus 로고
    • MHV vertices and fermionic scattering amplitudes in gauge theory with quarks and gluinos
    • hep-th/0406146
    • Wu J.-B., and Zhu C.-J. MHV vertices and fermionic scattering amplitudes in gauge theory with quarks and gluinos. JHEP 0409 (2004) 063. hep-th/0406146
    • (2004) JHEP , vol.409 , pp. 063
    • Wu, J.-B.1    Zhu, C.-J.2
  • 44
    • 84927721771 scopus 로고    scopus 로고
    • Twistor-space recursive formulation of gauge-theory amplitudes
    • hep-th/0406133
    • Bena I., Bern Z., and Kosower D.A. Twistor-space recursive formulation of gauge-theory amplitudes. Phys. Rev. D 71 (2005) 045008. hep-th/0406133
    • (2005) Phys. Rev. D , vol.71 , pp. 045008
    • Bena, I.1    Bern, Z.2    Kosower, D.A.3
  • 45
    • 84927702936 scopus 로고    scopus 로고
    • Next-to-maximal helicity violating amplitudes in gauge theory
    • hep-th/0406175
    • Kosower D.A. Next-to-maximal helicity violating amplitudes in gauge theory. Phys. Rev. D 71 (2005) 04500768. hep-th/0406175
    • (2005) Phys. Rev. D , vol.71 , pp. 04500768
    • Kosower, D.A.1
  • 47
    • 17044372438 scopus 로고    scopus 로고
    • All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N = 4 super-Yang-Mills theory
    • hep-th/0410224
    • Bern Z., Del Duca V., Dixon L.J., and Kosower D.A. All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N = 4 super-Yang-Mills theory. Phys. Rev. D 71 (2005) 045006. hep-th/0410224
    • (2005) Phys. Rev. D , vol.71 , pp. 045006
    • Bern, Z.1    Del Duca, V.2    Dixon, L.J.3    Kosower, D.A.4
  • 48
    • 12444344690 scopus 로고    scopus 로고
    • N = 1 supersymmetric one-loop amplitudes and the holomorphic anomaly of unitarity cuts
    • hep-th/0410296
    • Bidder S.J., Bjerrum-Bohr N.E.J., Dixon L.J., and Dunbar D.C. N = 1 supersymmetric one-loop amplitudes and the holomorphic anomaly of unitarity cuts. Phys. Lett. B 606 (2005) 189-201. hep-th/0410296
    • (2005) Phys. Lett. B , vol.606 , pp. 189-201
    • Bidder, S.J.1    Bjerrum-Bohr, N.E.J.2    Dixon, L.J.3    Dunbar, D.C.4
  • 49
    • 33749159192 scopus 로고    scopus 로고
    • Twistor-inspired construction of electroweak vector boson currents
    • hep-ph/0412167
    • Bern Z., Forde D., Kosower D.A., and Mastrolia P. Twistor-inspired construction of electroweak vector boson currents. Phys. Rev. D 72 (2005) 025006. hep-ph/0412167
    • (2005) Phys. Rev. D , vol.72 , pp. 025006
    • Bern, Z.1    Forde, D.2    Kosower, D.A.3    Mastrolia, P.4
  • 50
    • 21444450035 scopus 로고    scopus 로고
    • Inherited twistor-space structure of gravity loop amplitudes
    • hep-th/0501137
    • Bern Z., Bjerrum-Bohr N.E.J., and Dunbar D.C. Inherited twistor-space structure of gravity loop amplitudes. JHEP 0505 (2005) 056. hep-th/0501137
    • (2005) JHEP , vol.505 , pp. 056
    • Bern, Z.1    Bjerrum-Bohr, N.E.J.2    Dunbar, D.C.3
  • 51
    • 33749158446 scopus 로고    scopus 로고
    • All next-to-maximally-helicity-violating one-loop gluon amplitudes in N = 4 super-Yang-Mills theory
    • hep-th/0412210
    • Bern Z., Dixon L.J., and Kosower D.A. All next-to-maximally-helicity-violating one-loop gluon amplitudes in N = 4 super-Yang-Mills theory. Phys. Rev. D 72 (2005) 045014. hep-th/0412210
    • (2005) Phys. Rev. D , vol.72 , pp. 045014
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 52
    • 23044474920 scopus 로고    scopus 로고
    • Twistor space structure of one-loop amplitudes in gauge theory
    • hep-th/0406177
    • Cachazo F., Svrcek P., and Witten E. Twistor space structure of one-loop amplitudes in gauge theory. JHEP 0410 (2004) 074. hep-th/0406177
    • (2004) JHEP , vol.410 , pp. 074
    • Cachazo, F.1    Svrcek, P.2    Witten, E.3
  • 53
    • 11244309891 scopus 로고    scopus 로고
    • One-loop gauge theory amplitudes in N = 4 super-Yang-Mills from MHV vertices
    • hep-th/0407214
    • Brandhuber A., Spence B., and Travaglini G. One-loop gauge theory amplitudes in N = 4 super-Yang-Mills from MHV vertices. Nucl. Phys. B 706 (2005) 150-180. hep-th/0407214
    • (2005) Nucl. Phys. B , vol.706 , pp. 150-180
    • Brandhuber, A.1    Spence, B.2    Travaglini, G.3
  • 54
    • 33644777011 scopus 로고    scopus 로고
    • From trees to loops and back
    • hep-th/0510253
    • Brandhuber A., Spence B., and Travaglini G. From trees to loops and back. JHEP 0601 (2006) 142. hep-th/0510253
    • (2006) JHEP , vol.601 , pp. 142
    • Brandhuber, A.1    Spence, B.2    Travaglini, G.3
  • 56
    • 27344434871 scopus 로고    scopus 로고
    • One-loop MHV amplitudes in supersymmetric gauge theories
    • hep-th/0410278
    • Quigley C., and Rozali M. One-loop MHV amplitudes in supersymmetric gauge theories. JHEP 0501 (2005) 053. hep-th/0410278
    • (2005) JHEP , vol.501 , pp. 053
    • Quigley, C.1    Rozali, M.2
  • 57
    • 11244289590 scopus 로고    scopus 로고
    • A twistor approach to one-loop amplitudes in N = 1 supersymmetric Yang-Mills theory
    • hep-th/0410280
    • Bedford J., Brandhuber A., Spence B., and Travaglini G. A twistor approach to one-loop amplitudes in N = 1 supersymmetric Yang-Mills theory. Nucl. Phys. B 706 (2005) 100-126. hep-th/0410280
    • (2005) Nucl. Phys. B , vol.706 , pp. 100-126
    • Bedford, J.1    Brandhuber, A.2    Spence, B.3    Travaglini, G.4
  • 58
    • 15344346498 scopus 로고    scopus 로고
    • Non-supersymmetric loop amplitudes and MHV vertices
    • hep-th/0412108
    • Bedford J., Brandhuber A., Spence B., and Travaglini G. Non-supersymmetric loop amplitudes and MHV vertices. Nucl. Phys. B 712 (2005) 59-85. hep-th/0412108
    • (2005) Nucl. Phys. B , vol.712 , pp. 59-85
    • Bedford, J.1    Brandhuber, A.2    Spence, B.3    Travaglini, G.4
  • 59
    • 21844462094 scopus 로고    scopus 로고
    • A recursion relation for gravity amplitudes
    • hep-th/0502146
    • Bedford J., Brandhuber A., Spence B., and Travaglini G. A recursion relation for gravity amplitudes. Nucl. Phys. B 721 (2005) 98-110. hep-th/0502146
    • (2005) Nucl. Phys. B , vol.721 , pp. 98-110
    • Bedford, J.1    Brandhuber, A.2    Spence, B.3    Travaglini, G.4
  • 60
    • 17544366149 scopus 로고    scopus 로고
    • New recursion relations for tree amplitudes of gluons
    • hep-th/0412308
    • Britto R., Cachazo F., and Feng B. New recursion relations for tree amplitudes of gluons. Nucl. Phys. B 715 (2005) 499-522. hep-th/0412308
    • (2005) Nucl. Phys. B , vol.715 , pp. 499-522
    • Britto, R.1    Cachazo, F.2    Feng, B.3
  • 61
    • 27144442779 scopus 로고    scopus 로고
    • Direct proof of tree-level recursion relation in Yang-Mills theory
    • hep-th/0501052
    • Britto R., Cachazo F., Feng B., and Witten E. Direct proof of tree-level recursion relation in Yang-Mills theory. Phys. Rev. Lett. 94 (2005) 181602. hep-th/0501052
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 181602
    • Britto, R.1    Cachazo, F.2    Feng, B.3    Witten, E.4
  • 62
    • 13244294253 scopus 로고    scopus 로고
    • Twistor space structure of the box coefficients of N = 1 one-loop amplitudes
    • hep-th/0412023
    • Bidder S.J., Bjerrum-Bohr N.E.J., Dunbar D.C., and Perkins W.B. Twistor space structure of the box coefficients of N = 1 one-loop amplitudes. Phys. Lett. B 608 (2005) 151-163. hep-th/0412023
    • (2005) Phys. Lett. B , vol.608 , pp. 151-163
    • Bidder, S.J.1    Bjerrum-Bohr, N.E.J.2    Dunbar, D.C.3    Perkins, W.B.4
  • 63
    • 15944415801 scopus 로고    scopus 로고
    • One-loop gluon scattering amplitudes in theories with N < 4 supersymmetries
    • hep-th/0502028
    • Bidder S.J., Bjerrum-Bohr N.E.J., Dunbar D.C., and Perkins W.B. One-loop gluon scattering amplitudes in theories with N < 4 supersymmetries. Phys. Lett. B 612 (2005) 75-88. hep-th/0502028
    • (2005) Phys. Lett. B , vol.612 , pp. 75-88
    • Bidder, S.J.1    Bjerrum-Bohr, N.E.J.2    Dunbar, D.C.3    Perkins, W.B.4
  • 64
    • 22544446746 scopus 로고    scopus 로고
    • Six-point one-loop N = 8 supergravity NMHV amplitudes and their IR behaviour
    • hep-th/0503102
    • Bjerrum-Bohr N.E.J., Dunbar D.C., and Ita H. Six-point one-loop N = 8 supergravity NMHV amplitudes and their IR behaviour. Phys. Lett. B 621 (2005) 183-194. hep-th/0503102
    • (2005) Phys. Lett. B , vol.621 , pp. 183-194
    • Bjerrum-Bohr, N.E.J.1    Dunbar, D.C.2    Ita, H.3
  • 65
    • 33749159299 scopus 로고    scopus 로고
    • On-shell recurrence relations for one-loop QCD amplitudes
    • hep-th/0501240
    • Bern Z., Dixon L.J., and Kosower D.A. On-shell recurrence relations for one-loop QCD amplitudes. Phys. Rev. D 71 (2005) 105013. hep-th/0501240
    • (2005) Phys. Rev. D , vol.71 , pp. 105013
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 66
    • 33644893319 scopus 로고    scopus 로고
    • Bootstrapping multi-parton loop amplitudes in QCD
    • hep-ph/0507005
    • Bern Z., Dixon L.J., and Kosower D.A. Bootstrapping multi-parton loop amplitudes in QCD. Phys. Rev. D 73 (2006) 065013. hep-ph/0507005
    • (2006) Phys. Rev. D , vol.73 , pp. 065013
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 67
    • 29744444380 scopus 로고    scopus 로고
    • The last of the finite loop amplitudes in QCD
    • hep-ph/0505055
    • Bern Z., Dixon L.J., and Kosower D.A. The last of the finite loop amplitudes in QCD. Phys. Rev. D 72 (2005) 125003. hep-ph/0505055
    • (2005) Phys. Rev. D , vol.72 , pp. 125003
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 68
    • 33644776173 scopus 로고    scopus 로고
    • Recursive calculation of one-loop QCD integral coefficients
    • hep-ph/0507019
    • Bern Z., Bjerrum-Bohr N.E.J., Dunbar D.C., and Ita H. Recursive calculation of one-loop QCD integral coefficients. JHEP 0511 (2005) 027. hep-ph/0507019
    • (2005) JHEP , vol.511 , pp. 027
    • Bern, Z.1    Bjerrum-Bohr, N.E.J.2    Dunbar, D.C.3    Ita, H.4
  • 69
    • 29744435695 scopus 로고    scopus 로고
    • Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
    • hep-th/0505205
    • Bern Z., Dixon L.J., and Smirnov V.A. 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
  • 70
    • 23044501621 scopus 로고    scopus 로고
    • One-loop maximal helicity violating amplitudes in N = 4 super-Yang-Mills theories
    • hep-th/0410045
    • Luo M.-X., and Wen C.-K. One-loop maximal helicity violating amplitudes in N = 4 super-Yang-Mills theories. JHEP 0411 (2004) 004. hep-th/0410045
    • (2004) JHEP , vol.411 , pp. 004
    • Luo, M.-X.1    Wen, C.-K.2
  • 71
    • 13544262345 scopus 로고    scopus 로고
    • Systematics of one-loop scattering amplitudes in N = 4 super-Yang-Mills theories
    • hep-th/0410118
    • Luo M.-X., and Wen C.-K. Systematics of one-loop scattering amplitudes in N = 4 super-Yang-Mills theories. Phys. Lett. B 609 (2005) 86-94. hep-th/0410118
    • (2005) Phys. Lett. B , vol.609 , pp. 86-94
    • Luo, M.-X.1    Wen, C.-K.2
  • 72
    • 27344436348 scopus 로고    scopus 로고
    • Recursion relations for tree amplitudes in super gauge theories
    • hep-th/0501121
    • Luo M.-X., and Wen C.-K. Recursion relations for tree amplitudes in super gauge theories. JHEP 0503 (2005) 004. hep-th/0501121
    • (2005) JHEP , vol.503 , pp. 004
    • Luo, M.-X.1    Wen, C.-K.2
  • 73
    • 33749159498 scopus 로고    scopus 로고
    • Compact formulas for tree amplitudes of six partons
    • hep-th/0502009
    • Luo M.-X., and Wen C.-K. Compact formulas for tree amplitudes of six partons. Phys. Rev. D 71 (2005) 091501. hep-th/0502009
    • (2005) Phys. Rev. D , vol.71 , pp. 091501
    • Luo, M.-X.1    Wen, C.-K.2
  • 74
    • 24344485193 scopus 로고    scopus 로고
    • Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills
    • hep-th/0412103
    • Britto R., Cachazo F., and Feng B. Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills. Nucl. Phys. B 725 (2005) 275-305. hep-th/0412103
    • (2005) Nucl. Phys. B , vol.725 , pp. 275-305
    • Britto, R.1    Cachazo, F.2    Feng, B.3
  • 75
    • 15044348351 scopus 로고    scopus 로고
    • Coplanarity in twistor space of N = 4 next-to-MHV one-loop amplitude coefficients
    • hep-th/0411107
    • Britto R., Cachazo F., and Feng B. Coplanarity in twistor space of N = 4 next-to-MHV one-loop amplitude coefficients. Phys. Lett. B 611 (2005) 167-172. hep-th/0411107
    • (2005) Phys. Lett. B , vol.611 , pp. 167-172
    • Britto, R.1    Cachazo, F.2    Feng, B.3
  • 76
    • 33749159101 scopus 로고    scopus 로고
    • All split helicity tree-level gluon amplitudes
    • hep-th/0503198
    • Britto R., Feng B., Roiban R., Spradlin M., and Volovich A. All split helicity tree-level gluon amplitudes. Phys. Rev. D 71 (2005) 105017. hep-th/0503198
    • (2005) Phys. Rev. D , vol.71 , pp. 105017
    • Britto, R.1    Feng, B.2    Roiban, R.3    Spradlin, M.4    Volovich, A.5
  • 77
    • 29744435862 scopus 로고    scopus 로고
    • One-loop amplitudes of gluons in SQCD
    • hep-ph/0503132
    • Britto R., Buchbinder E., Cachazo F., and Feng B. 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
  • 78
    • 33646378186 scopus 로고    scopus 로고
    • The cut-constructible part of QCD amplitudes
    • hep-ph/0602178
    • Britto R., Feng B., and Mastrolia P. 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
  • 79
    • 33644650371 scopus 로고    scopus 로고
    • Lectures on twistor strings and perturbative Yang-Mills theory
    • hep-th/0504194
    • Cachazo F., and Svrcek P. Lectures on twistor strings and perturbative Yang-Mills theory. PoS (RTN2005) 004. hep-th/0504194
    • PoS , pp. 004
    • Cachazo, F.1    Svrcek, P.2
  • 80
    • 27544511311 scopus 로고    scopus 로고
    • Loop amplitudes in pure Yang-Mills from generalised unitarity
    • hep-th/0506068
    • Brandhuber A., McNamara S., Spence B., and Travaglini G. Loop amplitudes in pure Yang-Mills from generalised unitarity. JHEP 0510 (2005) 011. hep-th/0506068
    • (2005) JHEP , vol.510 , pp. 011
    • Brandhuber, A.1    McNamara, S.2    Spence, B.3    Travaglini, G.4
  • 81
    • 20844454549 scopus 로고    scopus 로고
    • Six-quark amplitudes from fermionic MHV vertices
    • hep-th/0409228
    • Su X., and Wu J.-B. Six-quark amplitudes from fermionic MHV vertices. Mod. Phys. Lett. A 20 (2005) 1065-1076. hep-th/0409228
    • (2005) Mod. Phys. Lett. A , vol.20 , pp. 1065-1076
    • Su, X.1    Wu, J.-B.2
  • 82
    • 16844367619 scopus 로고    scopus 로고
    • Multigluon amplitudes, N = 4 constraints and the WZW model
    • hep-th/0408191
    • Abe Y., Nair V.P., and Park M. Multigluon amplitudes, N = 4 constraints and the WZW model. Phys. Rev. D 71 (2005) 025002. hep-th/0408191
    • (2005) Phys. Rev. D , vol.71 , pp. 025002
    • Abe, Y.1    Nair, V.P.2    Park, M.3
  • 84
    • 33645673205 scopus 로고    scopus 로고
    • SUSY Ward identities for multi-gluon helicity amplitudes with massive quarks
    • hep-th/0602012
    • Schwinn C., and Weinzierl S. SUSY Ward identities for multi-gluon helicity amplitudes with massive quarks. JHEP 0603 (2006) 030. hep-th/0602012
    • (2006) JHEP , vol.603 , pp. 030
    • Schwinn, C.1    Weinzierl, S.2
  • 86
    • 33644918551 scopus 로고    scopus 로고
    • All-multiplicity one-loop corrections to MHV amplitudes in QCD
    • hep-ph/0509358
    • Forde D., and Kosower D.A. All-multiplicity one-loop corrections to MHV amplitudes in QCD. Phys. Rev. D 73 (2006) 061701. hep-ph/0509358
    • (2006) Phys. Rev. D , vol.73 , pp. 061701
    • Forde, D.1    Kosower, D.A.2
  • 87
    • 27944431732 scopus 로고    scopus 로고
    • N = 4 SYM NMHV loop amplitude in superspace
    • hep-th/0507117
    • Huang Y.-T. N = 4 SYM NMHV loop amplitude in superspace. Phys. Lett. B 631 (2005) 177-186. hep-th/0507117
    • (2005) Phys. Lett. B , vol.631 , pp. 177-186
    • Huang, Y.-T.1
  • 88
    • 33644758725 scopus 로고    scopus 로고
    • A direct proof of the CSW rules
    • hep-th/0508206
    • Risager K. A direct proof of the CSW rules. JHEP 0512 (2005) 003. hep-th/0508206
    • (2005) JHEP , vol.512 , pp. 003
    • Risager, K.1
  • 89
    • 33645654580 scopus 로고    scopus 로고
    • Recursion relations, helicity amplitudes and dimensional regularization
    • hep-ph/0510148
    • Quigley C., and Rozali M. Recursion relations, helicity amplitudes and dimensional regularization. JHEP 0603 (2006) 004. hep-ph/0510148
    • (2006) JHEP , vol.603 , pp. 004
    • Quigley, C.1    Rozali, M.2
  • 90
    • 33645502299 scopus 로고    scopus 로고
    • From Yang-Mills Lagrangian to MHV diagrams
    • hep-th/0510111
    • Gorsky A., and Rosly A. From Yang-Mills Lagrangian to MHV diagrams. JHEP 0601 (2006) 101. hep-th/0510111
    • (2006) JHEP , vol.601 , pp. 101
    • Gorsky, A.1    Rosly, A.2
  • 94
    • 0030594543 scopus 로고    scopus 로고
    • Massive loop amplitudes from unitarity
    • hep-ph/9511336
    • Bern Z., and Morgan A.G. Massive loop amplitudes from unitarity. Nucl. Phys. B 467 (1996) 479-509. hep-ph/9511336
    • (1996) Nucl. Phys. B , vol.467 , pp. 479-509
    • Bern, Z.1    Morgan, A.G.2
  • 95
    • 0030300589 scopus 로고    scopus 로고
    • Progress in one-loop QCD computations
    • For review see:. hep-ph/9602280
    • For review see:. Bern Z., Dixon L., and Kosower D.A. Progress in one-loop QCD computations. Annu. Rev. Nucl. Part. Sci. 46 (1996) 109-148. hep-ph/9602280
    • (1996) Annu. Rev. Nucl. Part. Sci. , vol.46 , pp. 109-148
    • Bern, Z.1    Dixon, L.2    Kosower, D.A.3
  • 96
    • 17144462198 scopus 로고    scopus 로고
    • Unitarity-based techniques for one-loop calculations in QCD
    • hep-ph/9606378
    • Bern Z., Dixon L., and Kosower D.A. Unitarity-based techniques for one-loop calculations in QCD. Nucl. Phys. B (Proc. Suppl.) 51C (1996) 243-249. hep-ph/9606378
    • (1996) Nucl. Phys. B (Proc. Suppl.) , vol.51 C , pp. 243-249
    • Bern, Z.1    Dixon, L.2    Kosower, D.A.3
  • 98
    • 0002177362 scopus 로고
    • Multiple bremsstrahlung in gauge theories at high-energies. 1. General formalism for quantum electrodynamics
    • De Causmaeker P., Gastmans R., Troost W., and Wu T.T. Multiple bremsstrahlung in gauge theories at high-energies. 1. General formalism for quantum electrodynamics. Nucl. Phys. B 206 (1982) 53
    • (1982) Nucl. Phys. B , vol.206 , pp. 53
    • De Causmaeker, P.1    Gastmans, R.2    Troost, W.3    Wu, T.T.4
  • 101
    • 33750515066 scopus 로고
    • Helicity amplitudes for multiple bremsstrahlung in massless nonabelian theories
    • Xu Z., Zhang D.-H., and Chang L. Helicity amplitudes for multiple bremsstrahlung in massless nonabelian theories. Nucl. Phys. B 291 (1987) 392
    • (1987) Nucl. Phys. B , vol.291 , pp. 392
    • Xu, Z.1    Zhang, D.-H.2    Chang, L.3
  • 103
    • 0039498782 scopus 로고    scopus 로고
    • One-loop self-dual and N = 4 super-Yang-Mills
    • hep-th/9611127
    • Bern Z., Dixon L., Dunbar D.C., and Kosower D.A. One-loop self-dual and N = 4 super-Yang-Mills. Phys. Lett. B 394 (1997) 105-115. hep-th/9611127
    • (1997) Phys. Lett. B , vol.394 , pp. 105-115
    • Bern, Z.1    Dixon, L.2    Dunbar, D.C.3    Kosower, D.A.4
  • 104
    • 33750605304 scopus 로고    scopus 로고
    • L. Dixon, On-shell recursion relations for QCD loop amplitudes, presentation at "From Twistors to Amplitudes" at QMUL, 3-5 November, 2005
  • 106
    • 33750627345 scopus 로고    scopus 로고
    • Z. Bern, A bootstrap approach to loop amplitudes, presentation at "8th DESY Workshop on Elementary Particle Theory-Loops and Legs in Quantum Field Theory", Eisenach, 23-28 April, 2006
  • 107
    • 33750629063 scopus 로고    scopus 로고
    • D.A. Kosower, Complete QCD amplitudes, presentation at "8th DESY Workshop on Elementary Particle Theory-Loops and Legs in Quantum Field Theory", Eisenach, 23-28 April, 2006
  • 109
    • 0000994632 scopus 로고
    • Dimensionally regulated one-loop integrals
    • hep-ph/9212308
    • Bern Z., Dixon L., and Kosower D.A. Dimensionally regulated one-loop integrals. Phys. Lett. B 302 (1993) 299-308. hep-ph/9212308
    • (1993) Phys. Lett. B , vol.302 , pp. 299-308
    • Bern, Z.1    Dixon, L.2    Kosower, D.A.3
  • 110
    • 33646630872 scopus 로고
    • Dimensionally regulated one-loop integrals
    • Erratum
    • Bern Z., Dixon L., and Kosower D.A. Dimensionally regulated one-loop integrals. Phys. Lett. B 318 (1993) 649 Erratum
    • (1993) Phys. Lett. B , vol.318 , pp. 649
    • Bern, Z.1    Dixon, L.2    Kosower, D.A.3
  • 111
    • 0042103338 scopus 로고
    • Dimensionally regulated pentagon integrals
    • hep-ph/9306240
    • Bern Z., Dixon L., and Kosower D.A. Dimensionally regulated pentagon integrals. Nucl. Phys. B 412 (1994) 751-816. hep-ph/9306240
    • (1994) Nucl. Phys. B , vol.412 , pp. 751-816
    • Bern, Z.1    Dixon, L.2    Kosower, D.A.3
  • 112
    • 0034678180 scopus 로고    scopus 로고
    • Reduction formalism for dimensionally regulated one-loop N-point integrals
    • hep-ph/9911342
    • Binoth T., Guillet J.Ph., and Heinrich G. Reduction formalism for dimensionally regulated one-loop N-point integrals. Nucl. Phys. B 572 (2000) 361-386. hep-ph/9911342
    • (2000) Nucl. Phys. B , vol.572 , pp. 361-386
    • Binoth, T.1    Guillet, J.Ph.2    Heinrich, G.3
  • 115
    • 0033130826 scopus 로고    scopus 로고
    • Automatized one-loop calculations in 4 and D dimensions
    • hep-ph/9807565
    • Hahn T., and Perez-Victoria M. Automatized one-loop calculations in 4 and D dimensions. Comput. Phys. Commun. 118 (1999) 153-165. hep-ph/9807565
    • (1999) Comput. Phys. Commun. , vol.118 , pp. 153-165
    • Hahn, T.1    Perez-Victoria, M.2
  • 116
    • 0035501086 scopus 로고    scopus 로고
    • Generating Feynman diagrams and amplitudes with FeynArts 3
    • hep-ph/0012260
    • Hahn T. Generating Feynman diagrams and amplitudes with FeynArts 3. Comput. Phys. Commun. 140 (2001) 418-431. hep-ph/0012260
    • (2001) Comput. Phys. Commun. , vol.140 , pp. 418-431
    • Hahn, T.1
  • 119
    • 0031207949 scopus 로고    scopus 로고
    • A simple method for multi-leg loop calculations
    • hep-ph/9607309
    • Pittau R. A simple method for multi-leg loop calculations. Comput. Phys. Commun. 104 (1997) 23-36. hep-ph/9607309
    • (1997) Comput. Phys. Commun. , vol.104 , pp. 23-36
    • Pittau, R.1
  • 120
    • 0032099103 scopus 로고    scopus 로고
    • A simple method for multi-leg loop calculations 2: A general algorithm
    • hep-ph/9712418
    • Pittau R. A simple method for multi-leg loop calculations 2: A general algorithm. Comput. Phys. Commun. 111 (1998) 48-52. hep-ph/9712418
    • (1998) Comput. Phys. Commun. , vol.111 , pp. 48-52
    • Pittau, R.1
  • 121
    • 0000450006 scopus 로고    scopus 로고
    • Reduction of multi-leg loop integrals
    • hep-ph/9811365
    • Weinzierl S. Reduction of multi-leg loop integrals. Phys. Lett. B 450 (1999) 234-240. hep-ph/9811365
    • (1999) Phys. Lett. B , vol.450 , pp. 234-240
    • Weinzierl, S.1
  • 126
    • 0000262739 scopus 로고
    • Recursive calculations for processes with N gluons
    • Berends A., and Giele W.T. Recursive calculations for processes with N gluons. Nucl. Phys. B 306 (1988) 759
    • (1988) Nucl. Phys. B , vol.306 , pp. 759
    • Berends, A.1    Giele, W.T.2
  • 127
    • 4243865621 scopus 로고    scopus 로고
    • Supersymmetric regularization, two-loop QCD amplitudes and coupling shifts
    • hep-ph/0202271
    • Bern Z., De Freitas A., Dixon L., and Wong H.L. Supersymmetric regularization, two-loop QCD amplitudes and coupling shifts. Phys. Rev. D 66 (2002) 085002. hep-ph/0202271
    • (2002) Phys. Rev. D , vol.66 , pp. 085002
    • Bern, Z.1    De Freitas, A.2    Dixon, L.3    Wong, H.L.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.