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Volumn 2007, Issue 1, 2007, Pages

Magic identities for conformal four-point integrals

Author keywords

Conformal and W symmetry; NLO Computations; Supersymmetric gauge theory

Indexed keywords


EID: 33947628733     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/01/064     Document Type: Article
Times cited : (463)

References (42)
  • 1
    • 78650234788 scopus 로고    scopus 로고
    • The large-N limit of superconformal field theories and supergravity
    • J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 231
    • Maldacena, J.M.1
  • 2
    • 0347811692 scopus 로고    scopus 로고
    • Gauge theory correlators from non-critical string theory
    • S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory 1998 Phys. Lett. B 428 105 [hep-th/9802109]
    • (1998) Phys. Lett. , vol.428 , Issue.1-2 , pp. 105
    • Gubser, S.S.1    Klebanov, I.R.2    Polyakov, A.M.3
  • 3
    • 0347164882 scopus 로고    scopus 로고
    • Large-N field theories, string theory and gravity
    • O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity 2000 Phys. Rep. 323 183 [hep-th/9905111]
    • (2000) Phys. Rep. , vol.323 , Issue.3-4 , pp. 183
    • Aharony, O.1    Gubser, S.S.2    Maldacena, J.M.3    Ooguri, H.4    Oz, Y.5
  • 4
    • 0035939585 scopus 로고    scopus 로고
    • Partial non-renormalisation of the stress-tensor four-point function in N ≤ 4 SYM and AdS/CFT
    • B. Eden, A.C. Petkou, C. Schubert and E. Sokatchev, Partial non-renormalisation of the stress-tensor four-point function in N ≤ 4 SYM and AdS/CFT 2001 Nucl. Phys. B 607 191 [hep-th/0009106]
    • (2001) Nucl. Phys. , vol.607 , Issue.1-2 , pp. 191
    • Eden, B.1    Petkou, A.C.2    Schubert, C.3    Sokatchev, E.4
  • 5
    • 0001829266 scopus 로고    scopus 로고
    • A note on four-point functions of conformal operators in N ≤ 4 super-Yang-Mills
    • F. Gonzalez-Rey, I.Y. Park and K. Schalm, A note on four-point functions of conformal operators in N ≤ 4 super-Yang-Mills 1999 Phys. Lett. B 448 37 [hep-th/9811155]
    • (1999) Phys. Lett. , vol.448 , Issue.1-2 , pp. 37
    • Gonzalez-Rey, F.1    Park, I.Y.2    Schalm, K.3
  • 6
    • 0033588773 scopus 로고    scopus 로고
    • Four-point functions in N ≤ 4 supersymmetric Yang-Mills theory at two loops
    • B. Eden, P.S. Howe, C. Schubert, E. Sokatchev and P.C. West, Four-point functions in N ≤ 4 supersymmetric Yang-Mills theory at two loops 1999 Nucl. Phys. B 557 355 [hep-th/9811172]
    • (1999) Nucl. Phys. , vol.557 , Issue.1-2 , pp. 355
    • Eden, B.1    Howe, P.S.2    Schubert, C.3    Sokatchev, E.4    West, P.C.5
  • 7
    • 0002798527 scopus 로고    scopus 로고
    • Simplifications of four-point functions in N ≤ 4 supersymmetric Yang-Mills theory at two loops
    • B. Eden, P.S. Howe, C. Schubert, E. Sokatchev and P.C. West, Simplifications of four-point functions in N ≤ 4 supersymmetric Yang-Mills theory at two loops 1999 Phys. Lett. B 466 20 [hep-th/9906051]
    • (1999) Phys. Lett. , vol.466 , Issue.1 , pp. 20
    • Eden, B.1    Howe, P.S.2    Schubert, C.3    Sokatchev, E.4    West, P.C.5
  • 8
    • 33645932019 scopus 로고    scopus 로고
    • On the logarithmic behavior in N ≤ 4 SYM theory
    • M. Bianchi, S. Kovacs, G. Rossi and Y.S. Stanev, On the logarithmic behavior in N ≤ 4 SYM theory 1999 J. High Energy Phys. JHEP08(1999)020 [hep-th/9906188]
    • (1999) J. High Energy Phys. , vol.1999 , Issue.8 , pp. 020
    • Bianchi, M.1    Kovacs, S.2    Rossi, G.3    Stanev, Y.S.4
  • 9
    • 0034209416 scopus 로고    scopus 로고
    • Three-loop four-point correlator in N ≤ 4 SYM
    • B. Eden, C. Schubert and E. Sokatchev, Three-loop four-point correlator in N ≤ 4 SYM 2000 Phys. Lett. B 482 309 [hep-th/0003096]
    • (2000) Phys. Lett. , vol.482 , Issue.1-3 , pp. 309
    • Eden, B.1    Schubert, C.2    Sokatchev, E.3
  • 11
    • 33750086975 scopus 로고    scopus 로고
    • Four-point functions of lowest weight CPOS in N ≤ 4 SYM(4) in supergravity approximation
    • G. Arutyunov and S. Frolov, Four-point functions of lowest weight CPOS in N ≤ 4 SYM(4) in supergravity approximation 2000 Phys. Rev. D 62 064016 [hep-th/0002170]
    • (2000) Phys. Rev. , vol.62 , Issue.6 , pp. 064016
    • Arutyunov, G.1    Frolov, S.2
  • 12
    • 0000001696 scopus 로고    scopus 로고
    • Operator product expansion of the lowest weight cpos in N ≤ 4 SYM(4) at strong coupling
    • G. Arutyunov, S. Frolov and A.C. Petkou, Operator product expansion of the lowest weight cpos in N ≤ 4 SYM(4) at strong coupling 2000 Nucl. Phys. B 586 547 [hep-th/0005182]
    • (2000) Nucl. Phys. , vol.586 , Issue.1-2 , pp. 547
    • Arutyunov, G.1    Frolov, S.2    Petkou, A.C.3
  • 13
    • 0001058948 scopus 로고    scopus 로고
    • Exceptional non-renormalization properties and ope analysis of chiral four-point functions in N ≤ 4 SYM(4)
    • G. Arutyunov, B. Eden, A.C. Petkou and E. Sokatchev, Exceptional non-renormalization properties and ope analysis of chiral four-point functions in N ≤ 4 SYM(4) 2002 Nucl. Phys. B 620 380 [hep-th/0103230]
    • (2002) Nucl. Phys. , vol.620 , Issue.1-2 , pp. 380
    • Arutyunov, G.1    Eden, B.2    Petkou, A.C.3    Sokatchev, E.4
  • 14
    • 0035795285 scopus 로고    scopus 로고
    • Conformal four point functions and the operator product expansion
    • F.A. Dolan and H. Osborn, Conformal four point functions and the operator product expansion 2001 Nucl. Phys. B 599 459 [hep-th/0011040]
    • (2001) Nucl. Phys. , vol.599 , Issue.1-2 , pp. 459
    • Dolan, F.A.1    Osborn, H.2
  • 15
    • 31744452300 scopus 로고    scopus 로고
    • Conformal partial wave expansions for N ≤ 4 chiral four point functions
    • F.A. Dolan and H. Osborn, Conformal partial wave expansions for N ≤ 4 chiral four point functions 2006 Ann. Phys. (NY) 321 581 [hep-th/0412335]
    • (2006) Ann. Phys. (NY) , vol.321 , Issue.3 , pp. 581
    • Dolan, F.A.1    Osborn, H.2
  • 16
    • 0942288740 scopus 로고    scopus 로고
    • Planar amplitudes in maximally supersymmetric Yang-Mills theory
    • C. Anastasiou, Z. Bern, L.J. Dixon and D.A. Kosower, Planar amplitudes in maximally supersymmetric Yang-Mills theory 2003 Phys. Rev. Lett. 91 251602 [hep-th/0309040]
    • (2003) Phys. Rev. Lett. , vol.91 , Issue.25 , pp. 251602
    • Anastasiou, C.1    Bern, Z.2    Dixon, L.J.3    Kosower, D.A.4
  • 17
    • 29744435695 scopus 로고    scopus 로고
    • Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
    • Z. Bern, L.J. Dixon and V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond 2005 Phys. Rev. D 72 085001 [hep-th/0505205]
    • (2005) Phys. Rev. , vol.72 , Issue.8 , pp. 085001
    • Bern, Z.1    Dixon, L.J.2    Smirnov, V.A.3
  • 18
    • 3843074064 scopus 로고    scopus 로고
    • Three-loop universal anomalous dimension of the wilson operators in N ≤ 4 SUSY Yang-Mills model
    • A.V. Kotikov, L.N. Lipatov, A.I. Onishchenko and V.N. Velizhanin, Three-loop universal anomalous dimension of the wilson operators in N ≤ 4 SUSY Yang-Mills model 2004 Phys. Lett. B 595 521 [hep-th/0404092]
    • (2004) Phys. Lett. , vol.595 , pp. 521
    • Kotikov, A.V.1    Lipatov, L.N.2    Onishchenko, A.I.3    Velizhanin, V.N.4
  • 19
    • 21444440592 scopus 로고    scopus 로고
    • The factorized s-matrix of CFT/ads
    • M. Staudacher, The factorized s-matrix of CFT/ads 2005 J. High Energy Phys. JHEP05(2005)054 [hep-th/0412188]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.5 , pp. 054
    • Staudacher, M.1
  • 21
    • 0642377784 scopus 로고
    • An approach to the evaluation of three and four point ladder diagrams
    • N.I. Usyukina and A.I. Davydychev, An approach to the evaluation of three and four point ladder diagrams 1993 Phys. Lett. B 298 363
    • (1993) Phys. Lett. , vol.298 , Issue.3-4 , pp. 363
    • Usyukina, N.I.1    Davydychev, A.I.2
  • 22
    • 2842521325 scopus 로고
    • Exact results for three and four point ladder diagrams with an arbitrary number of rungs
    • N.I. Usyukina and A.I. Davydychev, Exact results for three and four point ladder diagrams with an arbitrary number of rungs 1993 Phys. Lett. B 305 136
    • (1993) Phys. Lett. , vol.305 , Issue.1-2 , pp. 136
    • Usyukina, N.I.1    Davydychev, A.I.2
  • 23
    • 0038457943 scopus 로고    scopus 로고
    • Multi-loop feynman integrals and conformal quantum mechanics
    • A.P. Isaev, Multi-loop feynman integrals and conformal quantum mechanics 2003 Nucl. Phys. B 662 461 [hep-th/0303056]
    • (2003) Nucl. Phys. , vol.662 , pp. 461
    • Isaev, A.P.1
  • 24
    • 0043056435 scopus 로고
    • Summation of an infinite series of ladder diagrams
    • D.J. Broadhurst, Summation of an infinite series of ladder diagrams 1993 Phys. Lett. B 307 132
    • (1993) Phys. Lett. , vol.307 , Issue.1-2 , pp. 132
    • Broadhurst, D.J.1
  • 25
    • 0000396827 scopus 로고    scopus 로고
    • Analytical result for dimensionally regularized massless on-shell double box
    • V.A. Smirnov, Analytical result for dimensionally regularized massless on-shell double box 1999 Phys. Lett. B 460 397 [hep-ph/9905323]
    • (1999) Phys. Lett. , vol.460 , Issue.3-4 , pp. 397
    • Smirnov, V.A.1
  • 26
    • 0001718629 scopus 로고    scopus 로고
    • Non-planar massless two-loop Feynman diagrams with four on- shell legs
    • J.B. Tausk, Non-planar massless two-loop Feynman diagrams with four on- shell legs 1999 Phys. Lett. B 469 225 [hep-ph/9909506]
    • (1999) Phys. Lett. , vol.469 , Issue.1-4 , pp. 225
    • Tausk, J.B.1
  • 28
    • 0034288937 scopus 로고    scopus 로고
    • Using differential equations to compute two-loop box integrals
    • T. Gehrmann and E. Remiddi, Using differential equations to compute two-loop box integrals 2000 Nucl. Phys. (Proc. Suppl.) 89 251 [hep-ph/0005232]
    • (2000) Nucl. Phys. (Proc. Suppl.) , vol.89 , Issue.1-3 , pp. 251
    • Gehrmann, T.1    Remiddi, E.2
  • 29
    • 0034288926 scopus 로고    scopus 로고
    • The on-shell massless planar double box diagram with an irreducible numerator
    • C. Anastasiou, J.B. Tausk and M.E. Tejeda-Yeomans, The on-shell massless planar double box diagram with an irreducible numerator 2000 Nucl. Phys. (Proc. Suppl.) 89 262 [hep-ph/0005328]
    • (2000) Nucl. Phys. (Proc. Suppl.) , vol.89 , Issue.1-3 , pp. 262
    • Anastasiou, C.1    Tausk, J.B.2    Tejeda-Yeomans, M.E.3
  • 30
    • 0034736841 scopus 로고    scopus 로고
    • Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators
    • V.A. Smirnov and O.L. Veretin, Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators 2000 Nucl. Phys. B 566 469 [hep-ph/9907385]
    • (2000) Nucl. Phys. , vol.566 , Issue.1-2 , pp. 469
    • Smirnov, V.A.1    Veretin, O.L.2
  • 31
    • 0001626271 scopus 로고    scopus 로고
    • The tensor reduction and master integrals of the two-loop massless crossed box with light-like legs
    • C. Anastasiou, T. Gehrmann, C. Oleari, E. Remiddi and J.B. Tausk, The tensor reduction and master integrals of the two-loop massless crossed box with light-like legs 2000 Nucl. Phys. B 580 577 [hep-ph/0003261]
    • (2000) Nucl. Phys. , vol.580 , Issue.1-2 , pp. 577
    • Anastasiou, C.1    Gehrmann, T.2    Oleari, C.3    Remiddi, E.4    Tausk, J.B.5
  • 32
    • 0037038454 scopus 로고    scopus 로고
    • The leading power Regge asymptotic behaviour of dimensionally regularized massless on-shell planar triple box
    • V.A. Smirnov, The leading power Regge asymptotic behaviour of dimensionally regularized massless on-shell planar triple box 2002 Phys. Lett. B 547 239 [hep-ph/0209193]
    • (2002) Phys. Lett. , vol.547 , Issue.3-4 , pp. 239
    • Smirnov, V.A.1
  • 33
    • 0041736135 scopus 로고    scopus 로고
    • Analytical result for dimensionally regularized massless on-shell planar triple box
    • V.A. Smirnov, Analytical result for dimensionally regularized massless on-shell planar triple box 2003 Phys. Lett. B 567 193 [hep-ph/0305142]
    • (2003) Phys. Lett. , vol.567 , Issue.3-4 , pp. 193
    • Smirnov, V.A.1
  • 35
    • 0034641973 scopus 로고    scopus 로고
    • Analytical result for dimensionally regularized massless master double box with one leg off shell
    • V.A. Smirnov, Analytical result for dimensionally regularized massless master double box with one leg off shell 2000 Phys. Lett. B 491 130 [hep-ph/0007032]
    • (2000) Phys. Lett. , vol.491 , Issue.1-2 , pp. 130
    • Smirnov, V.A.1
  • 36
    • 0035931957 scopus 로고    scopus 로고
    • Analytical result for dimensionally regularized massless master non-planar double box with one leg off shell
    • V.A. Smirnov, Analytical result for dimensionally regularized massless master non-planar double box with one leg off shell 2001 Phys. Lett. B 500 330 [hep-ph/0011056]
    • (2001) Phys. Lett. , vol.500 , Issue.3-4 , pp. 330
    • Smirnov, V.A.1
  • 37
    • 0037011855 scopus 로고    scopus 로고
    • Analytical result for dimensionally regularized massive on- shell planar double box
    • V.A. Smirnov, Analytical result for dimensionally regularized massive on- shell planar double box 2002 Phys. Lett. B 524 129 [hep-ph/0111160]
    • (2002) Phys. Lett. , vol.524 , Issue.1-2 , pp. 129
    • Smirnov, V.A.1
  • 38
    • 5444245120 scopus 로고    scopus 로고
    • Evaluating multiloop feynman integrals by mellin-barnes representation
    • V.A. Smirnov, Evaluating multiloop feynman integrals by mellin-barnes representation 2004 Nucl. Phys. (Proc. Suppl.) 135 252 [hep-ph/0406052]
    • (2004) Nucl. Phys. (Proc. Suppl.) , vol.135 , pp. 252
    • Smirnov, V.A.1
  • 39
    • 4444305901 scopus 로고    scopus 로고
    • Analytical evaluation of dimensionally regularized massive on-shell double boxes
    • G. Heinrich and V.A. Smirnov, Analytical evaluation of dimensionally regularized massive on-shell double boxes 2004 Phys. Lett. B 598 55 [hep-ph/0406053]
    • (2004) Phys. Lett. , vol.598 , Issue.1-2 , pp. 55
    • Heinrich, G.1    Smirnov, V.A.2
  • 40
    • 33644978125 scopus 로고    scopus 로고
    • On the massive two-loop corrections to BHABHA scattering
    • M. Czakon, J. Gluza and T. Riemann, On the massive two-loop corrections to BHABHA scattering 2005 Acta Phys. Polon. B 36 3319 [hep-ph/0511187]
    • (2005) Acta Phys. Polon. , vol.36 , Issue.11 , pp. 3319
    • Czakon, M.1    Gluza, J.2    Riemann, T.3
  • 42
    • 33748798230 scopus 로고    scopus 로고
    • Automatized analytic continuation of Mellin-Barnes integrals
    • M. Czakon, Automatized analytic continuation of Mellin-Barnes integrals 2006 Comput. Phys. Commun. 175 559 [hep-ph/0511200]
    • (2006) Comput. Phys. Commun. , vol.175 , Issue.8 , pp. 559
    • Czakon, M.1


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