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Naculich, Stephen G.; Nastase, Horatiu; Schnitzer, Howard J.

All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes. (English) Zbl 1342.81606

J. High Energy Phys. 2013, No. 4, Paper No. 114, 22 p. (2013).

Cited in 28 Documents

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81V17 Gravitational interaction in quantum theory

Keywords:

supersymmetric gauge theory; scattering amplitudes; models of quantum gravity; \(1/N\) expansion
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Full Text: DOI arXiv

References:

[1] S. Weinberg, Infrared photons and gravitons, Phys. Rev. 140 (1965) B516. · doi:10.1103/PhysRev.140.B516
[2] D.C. Dunbar and P.S. Norridge, Infinities within graviton scattering amplitudes, Class. Quant. Grav. 14 (1997) 351 [hep-th/9512084] [INSPIRE]. · Zbl 0925.83030 · doi:10.1088/0264-9381/14/2/009
[3] S.G. Naculich, H. Nastase and H.J. Schnitzer, Two-loop graviton scattering relation and IR behavior in N = 8 supergravity, Nucl. Phys. B 805 (2008) 40 [arXiv:0805.2347] [INSPIRE]. · Zbl 1190.83096 · doi:10.1016/j.nuclphysb.2008.07.001
[4] S.G. Naculich and H.J. Schnitzer, Eikonal methods applied to gravitational scattering amplitudes, JHEP05 (2011) 087 [arXiv:1101.1524] [INSPIRE]. · Zbl 1296.83028 · doi:10.1007/JHEP05(2011)087
[5] C.D. White, Factorization properties of soft graviton amplitudes, JHEP05 (2011) 060 [arXiv:1103.2981] [INSPIRE]. · Zbl 1296.83030 · doi:10.1007/JHEP05(2011)060
[6] R. Akhoury, R. Saotome and G. Sterman, Collinear and soft divergences in perturbative quantum gravity, Phys. Rev. D 84 (2011) 104040 [arXiv:1109.0270] [INSPIRE].
[7] G.F. Sterman and M.E. Tejeda-Yeomans, Multiloop amplitudes and resummation, Phys. Lett. B 552 (2003) 48 [hep-ph/0210130] [INSPIRE]. · Zbl 1005.81519
[8] S.M. Aybat, L.J. Dixon and G.F. Sterman, The two-loop soft anomalous dimension matrix and resummation at next-to-next-to leading pole, Phys. Rev. D 74 (2006) 074004 [hep-ph/0607309] [INSPIRE].
[9] T. Becher and M. Neubert, Infrared singularities of scattering amplitudes in perturbative QCD, Phys. Rev. Lett. 102 (2009) 162001 [arXiv:0901.0722] [INSPIRE]. · doi:10.1103/PhysRevLett.102.162001
[10] E. Gardi and L. Magnea, Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes, JHEP03 (2009) 079 [arXiv:0901.1091] [INSPIRE]. · doi:10.1088/1126-6708/2009/03/079
[11] T. Becher and M. Neubert, On the structure of infrared singularities of gauge-theory amplitudes, JHEP06 (2009) 081 [arXiv:0903.1126] [INSPIRE]. · doi:10.1088/1126-6708/2009/06/081
[12] Z. Bern, J. Carrasco, L.J. Dixon, H. Johansson and R. Roiban, Manifest ultraviolet behavior for the three-loop four-point amplitude of N = 8 supergravity, Phys. Rev. D 78 (2008) 105019 [arXiv:0808.4112] [INSPIRE].
[13] L.J. Dixon, E. Gardi and L. Magnea, On soft singularities at three loops and beyond, JHEP02 (2010) 081 [arXiv:0910.3653] [INSPIRE]. · Zbl 1270.81217 · doi:10.1007/JHEP02(2010)081
[14] V. Del Duca, C. Duhr, E. Gardi, L. Magnea and C.D. White, The infrared structure of gauge theory amplitudes in the high-energy limit, JHEP12 (2011) 021 [arXiv:1109.3581] [INSPIRE]. · Zbl 1306.81333 · doi:10.1007/JHEP12(2011)021
[15] V. Ahrens, M. Neubert and L. Vernazza, Structure of infrared singularities of gauge-theory amplitudes at three and four loops, JHEP09 (2012) 138 [arXiv:1208.4847] [INSPIRE]. · doi:10.1007/JHEP09(2012)138
[16] S.G. Naculich, H. Nastase and H.J. Schnitzer, Subleading-color contributions to gluon-gluon scattering in N = 4 SYM theory and relations to N = 8 supergravity, JHEP11 (2008) 018 [arXiv:0809.0376] [INSPIRE]. · doi:10.1088/1126-6708/2008/11/018
[17] S.G. Naculich and H.J. Schnitzer, IR divergences and Regge limits of subleading-color contributions to the four-gluon amplitude in N = 4 SYM theory, JHEP10 (2009) 048 [arXiv:0907.1895] [INSPIRE]. · doi:10.1088/1126-6708/2009/10/048
[18] H. Nastase and H.J. Schnitzer, Twistor and polytope interpretations for subleading color one-loop amplitudes, Nucl. Phys. B 855 (2012) 901 [arXiv:1104.2752] [INSPIRE]. · Zbl 1229.81278 · doi:10.1016/j.nuclphysb.2011.10.029
[19] S.G. Naculich, H. Nastase and H.J. Schnitzer, Linear relations between N ≥ 4 supergravity and subleading-color SYM amplitudes, JHEP01 (2012) 041 [arXiv:1111.1675] [INSPIRE]. · Zbl 1306.81125 · doi:10.1007/JHEP01(2012)041
[20] D. Miller and C. White, The gravitational cusp anomalous dimension from AdS space, Phys. Rev. D 85 (2012) 104034 [arXiv:1201.2358] [INSPIRE].
[21] M. Beneke and G. Kirilin, Soft-collinear gravity, JHEP09 (2012) 066 [arXiv:1207.4926] [INSPIRE]. · Zbl 1398.83031 · doi:10.1007/JHEP09(2012)066
[22] Z. Bern, L.J. Dixon, D. Dunbar, M. Perelstein and J. Rozowsky, On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences, Nucl. Phys. B 530 (1998) 401 [hep-th/9802162] [INSPIRE]. · doi:10.1016/S0550-3213(98)00420-9
[23] Z. Bern, L.J. Dixon, M. Perelstein and J. Rozowsky, Multileg one loop gravity amplitudes from gauge theory, Nucl. Phys. B 546 (1999) 423 [hep-th/9811140] [INSPIRE]. · Zbl 0953.83006 · doi:10.1016/S0550-3213(99)00029-2
[24] S. Catani and M. Seymour, The dipole formalism for the calculation of QCD jet cross-sections at next-to-leading order, Phys. Lett. B 378 (1996) 287 [hep-ph/9602277] [INSPIRE].
[25] S. Catani, The singular behavior of QCD amplitudes at two loop order, Phys. Lett. B 427 (1998) 161 [hep-ph/9802439] [INSPIRE].
[26] 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] [INSPIRE].
[27] S.G. Naculich, All-loop group-theory constraints for color-ordered SU(N) gauge-theory amplitudes, Phys. Lett. B 707 (2012) 191 [arXiv:1110.1859] [INSPIRE].
[28] A.C. Edison and S.G. Naculich, Symmetric-group decomposition of SU(N) group-theory constraints on four-, five- and six-point color-ordered amplitudes, JHEP09 (2012) 069 [arXiv:1207.5511] [INSPIRE]. · Zbl 1397.81144 · doi:10.1007/JHEP09(2012)069
[29] M.B. Green, J.H. Schwarz and L. Brink, N = 4 Yang-Mills and N = 8 supergravity as limits of string theories, Nucl. Phys. B 198 (1982) 474 [INSPIRE]. · doi:10.1016/0550-3213(82)90336-4
[30] A.B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Classical polylogarithms for amplitudes and Wilson loops, Phys. Rev. Lett. 105 (2010) 151605 [arXiv:1006.5703] [INSPIRE]. · doi:10.1103/PhysRevLett.105.151605
[31] V. Del Duca, C. Duhr and V.A. Smirnov, An analytic result for the two-loop hexagon Wilson loop in N = 4 SYM, JHEP03 (2010) 099 [arXiv:0911.5332] [INSPIRE]. · Zbl 1271.81104 · doi:10.1007/JHEP03(2010)099
[32] V. Del Duca, C. Duhr and V.A. Smirnov, The two-loop hexagon Wilson loop in N = 4 SYM, JHEP05 (2010) 084 [arXiv:1003.1702] [INSPIRE]. · Zbl 1287.81080 · doi:10.1007/JHEP05(2010)084
[33] A.C. Edison and S.G. Naculich, SU(N) group-theory constraints on color-ordered five-point amplitudes at all loop orders, Nucl. Phys. B 858 (2012) 488 [arXiv:1111.3821] [INSPIRE]. · Zbl 1246.81119 · doi:10.1016/j.nuclphysb.2012.01.019
[34] S. Oxburgh and C. White, BCJ duality and the double copy in the soft limit, JHEP02 (2013) 127 [arXiv:1210.1110] [INSPIRE]. · Zbl 1342.81719 · doi:10.1007/JHEP02(2013)127
[35] 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] [INSPIRE].
[36] J. Tausk, Nonplanar massless two loop Feynman diagrams with four on-shell legs, Phys. Lett. B 469 (1999) 225 [hep-ph/9909506] [INSPIRE]. · Zbl 0987.81500
[37] K. Kolbig, J. Mignoco and E. Remiddi, On Nielsen’s generalized polylogarithms and their numerical calculation, BIT Num. Math.10 (1970) 38. · Zbl 0196.17302 · doi:10.1007/BF01940890
[38] C. Duhr, H. Gangl and J.R. Rhodes, From polygons and symbols to polylogarithmic functions, JHEP10 (2012) 075 [arXiv:1110.0458] [INSPIRE]. · Zbl 1397.81355 · doi:10.1007/JHEP10(2012)075
[39] D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, Pulling the straps of polygons, JHEP12 (2011) 011 [arXiv:1102.0062] [INSPIRE]. · Zbl 1306.81153 · doi:10.1007/JHEP12(2011)011
[40] E. Remiddi and J. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15 (2000) 725 [hep-ph/9905237] [INSPIRE]. · Zbl 0951.33003
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