Abstract
In previous work, the two-loop five-point amplitudes in \( \mathcal{N} \) = 4 super Yang-Mills theory and \( \mathcal{N} \) = 8 supergravity were computed at symbol level. In this paper, we compute the full functional form. The amplitudes are assembled and simplified using the analytic expressions of the two-loop pentagon integrals in the physical scattering region. We provide the explicit functional expressions, and a numerical reference point in the scattering region. We then calculate the multi-Regge limit of both amplitudes. The result is written in terms of an explicit transcendental function basis. For certain non-planar colour structures of the \( \mathcal{N} \) = 4 super Yang-Mills amplitude, we perform an independent calculation based on the BFKL effective theory. We find perfect agreement. We comment on the analytic properties of the amplitudes.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
L.N. Lipatov, Asymptotic behavior of multicolor QCD at high energies in connection with exactly solvable spin models, JETP Lett. 59 (1994) 596 [hep-th/9311037] [Pisma Zh.Eksp.Teor.Fiz. 59 (1994) 571] [INSPIRE].
L.D. Faddeev and G.P. Korchemsky, High-energy QCD as a completely integrable model, Phys. Lett. B 342 (1995) 311 [hep-th/9404173] [INSPIRE].
J. Bartels, L.N. Lipatov and A. Sabio Vera, BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes, Phys. Rev. D 80 (2009) 045002 [arXiv:0802.2065] [INSPIRE].
S. Caron-Huot, L.J. Dixon, A. McLeod and M. von Hippel, Bootstrapping a Five-Loop Amplitude Using Steinmann Relations, Phys. Rev. Lett. 117 (2016) 241601 [arXiv:1609.00669] [INSPIRE].
L.J. Dixon, J.M. Drummond and J.M. Henn, Bootstrapping the three-loop hexagon, JHEP 11 (2011) 023 [arXiv:1108.4461] [INSPIRE].
S. Caron-Huot, L.J. Dixon, F. Dulat, M. von Hippel, A.J. McLeod and G. Papathanasiou, Six-Gluon amplitudes in planar \( \mathcal{N} \) = 4 super-Yang-Mills theory at six and seven loops, JHEP 08 (2019) 016 [arXiv:1903.10890] [INSPIRE].
V. Del Duca et al., All-order amplitudes at any multiplicity in the multi-Regge limit, Phys. Rev. Lett. 124 (2020) 161602 [arXiv:1912.00188] [INSPIRE].
R. Brüser, S. Caron-Huot and J.M. Henn, Subleading Regge limit from a soft anomalous dimension, JHEP 04 (2018) 047 [arXiv:1802.02524] [INSPIRE].
I. Moult, G. Vita and K. Yan, Subleading power resummation of rapidity logarithms: the energy-energy correlator in \( \mathcal{N} \) = 4 SYM, JHEP 07 (2020) 005 [arXiv:1912.02188] [INSPIRE].
J.M. Drummond, J. Henn, V.A. Smirnov and E. Sokatchev, Magic identities for conformal four-point integrals, JHEP 01 (2007) 064 [hep-th/0607160] [INSPIRE].
Z. Bern, M. Enciso, H. Ita and M. Zeng, Dual Conformal Symmetry, Integration-by-Parts Reduction, Differential Equations and the Nonplanar Sector, Phys. Rev. D 96 (2017) 096017 [arXiv:1709.06055] [INSPIRE].
Z. Bern, M. Enciso, C.-H. Shen and M. Zeng, Dual Conformal Structure Beyond the Planar Limit, Phys. Rev. Lett. 121 (2018) 121603 [arXiv:1806.06509] [INSPIRE].
D. Chicherin, J.M. Henn and E. Sokatchev, Implications of nonplanar dual conformal symmetry, JHEP 09 (2018) 012 [arXiv:1807.06321] [INSPIRE].
R. Ben-Israel, A.G. Tumanov and A. Sever, Scattering amplitudes — Wilson loops duality for the first non-planar correction, JHEP 08 (2018) 122 [arXiv:1802.09395] [INSPIRE].
S. Caron-Huot, When does the gluon reggeize?, JHEP 05 (2015) 093 [arXiv:1309.6521] [INSPIRE].
V. Del Duca, G. Falcioni, L. Magnea and L. Vernazza, Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy, JHEP 02 (2015) 029 [arXiv:1409.8330] [INSPIRE].
S. Caron-Huot, E. Gardi and L. Vernazza, Two-parton scattering in the high-energy limit, JHEP 06 (2017) 016 [arXiv:1701.05241] [INSPIRE].
J.M. Henn and B. Mistlberger, Four-Gluon Scattering at Three Loops, Infrared Structure, and the Regge Limit, Phys. Rev. Lett. 117 (2016) 171601 [arXiv:1608.00850] [INSPIRE].
J. Bartels, L.N. Lipatov and A. Sabio Vera, Double-logarithms in Einstein-Hilbert gravity and supergravity, JHEP 07 (2014) 056 [arXiv:1208.3423] [INSPIRE].
A. Sabio Vera, Double-logarithms in \( \mathcal{N} \) = 8 supergravity: impact parameter description & mapping to 1-rooted ribbon graphs, JHEP 07 (2019) 080 [arXiv:1904.13372] [INSPIRE].
A. Sabio Vera, Double logarithms in \( \mathcal{N} \) ≥ 4 supergravity: weak gravity and Shapiro’s time delay, JHEP 01 (2020) 163 [arXiv:1912.00744] [INSPIRE].
P. Di Vecchia, A. Luna, S.G. Naculich, R. Russo, G. Veneziano and C.D. White, A tale of two exponentiations in \( \mathcal{N} \) = 8 supergravity, Phys. Lett. B 798 (2019) 134927 [arXiv:1908.05603] [INSPIRE].
P. Di Vecchia, S.G. Naculich, R. Russo, G. Veneziano and C.D. White, A tale of two exponentiations in \( \mathcal{N} \) = 8 supergravity at subleading level, JHEP 03 (2020) 173 [arXiv:1911.11716] [INSPIRE].
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].
A. Brandhuber, P. Heslop, A. Nasti, B. Spence and G. Travaglini, Four-point Amplitudes in N = 8 Supergravity and Wilson Loops, Nucl. Phys. B 807 (2009) 290 [arXiv:0805.2763] [INSPIRE].
C. Boucher-Veronneau and L.J. Dixon, N ≥ 4 Supergravity Amplitudes from Gauge Theory at Two Loops, JHEP 12 (2011) 046 [arXiv:1110.1132] [INSPIRE].
J.M. Henn and B. Mistlberger, Four-graviton scattering to three loops in \( \mathcal{N} \) = 8 supergravity, JHEP 05 (2019) 023 [arXiv:1902.07221] [INSPIRE].
D. Chicherin, J. Henn and V. Mitev, Bootstrapping pentagon functions, JHEP 05 (2018) 164 [arXiv:1712.09610] [INSPIRE].
S. Abreu, B. Page and M. Zeng, Differential equations from unitarity cuts: nonplanar hexa-box integrals, JHEP 01 (2019) 006 [arXiv:1807.11522] [INSPIRE].
D. Chicherin, T. Gehrmann, J.M. Henn, N.A. Lo Presti, V. Mitev and P. Wasser, Analytic result for the nonplanar hexa-box integrals, JHEP 03 (2019) 042 [arXiv:1809.06240] [INSPIRE].
S. Abreu, L.J. Dixon, E. Herrmann, B. Page and M. Zeng, The two-loop five-point amplitude in \( \mathcal{N} \) = 4 super-Yang-Mills theory, Phys. Rev. Lett. 122 (2019) 121603 [arXiv:1812.08941] [INSPIRE].
D. Chicherin, T. Gehrmann, J.M. Henn, P. Wasser, Y. Zhang and S. Zoia, All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order, Phys. Rev. Lett. 123 (2019) 041603 [arXiv:1812.11160] [INSPIRE].
D. Chicherin, T. Gehrmann, J.M. Henn, P. Wasser, Y. Zhang and S. Zoia, Analytic result for a two-loop five-particle amplitude, Phys. Rev. Lett. 122 (2019) 121602 [arXiv:1812.11057] [INSPIRE].
D. Chicherin, T. Gehrmann, J.M. Henn, P. Wasser, Y. Zhang and S. Zoia, The two-loop five-particle amplitude in \( \mathcal{N} \) = 8 supergravity, JHEP 03 (2019) 115 [arXiv:1901.05932] [INSPIRE].
S. Abreu, L.J. Dixon, E. Herrmann, B. Page and M. Zeng, The two-loop five-point amplitude in \( \mathcal{N} \) = 8 supergravity, JHEP 03 (2019) 123 [arXiv:1901.08563] [INSPIRE].
S. Badger et al., Analytic form of the full two-loop five-gluon all-plus helicity amplitude, Phys. Rev. Lett. 123 (2019) 071601 [arXiv:1905.03733] [INSPIRE].
K.-T. Chen, Iterated path integrals, Bull. Am. Math. Soc. 83 (1977) 831 [INSPIRE].
T. Gehrmann, J.M. Henn and N.A. Lo Presti, Pentagon functions for massless planar scattering amplitudes, JHEP 10 (2018) 103 [arXiv:1807.09812] [INSPIRE].
S. Badger, H. Frellesvig and Y. Zhang, A Two-Loop Five-Gluon Helicity Amplitude in QCD, JHEP 12 (2013) 045 [arXiv:1310.1051] [INSPIRE].
Z. Bern, L.J. Dixon and D.A. Kosower, One loop corrections to five gluon amplitudes, Phys. Rev. Lett. 70 (1993) 2677 [hep-ph/9302280] [INSPIRE].
A.B. Goncharov, Multiple polylogarithms and mixed Tate motives, math/0103059 [INSPIRE].
J.J.M. Carrasco and H. Johansson, Five-Point Amplitudes in N = 4 Super-Yang-Mills Theory and N = 8 Supergravity, Phys. Rev. D 85 (2012) 025006 [arXiv:1106.4711] [INSPIRE].
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].
Z. Bern and D.A. Kosower, Color decomposition of one loop amplitudes in gauge theories, Nucl. Phys. B 362 (1991) 389 [INSPIRE].
S.J. Parke and T.R. Taylor, Amplitude for n-gluon scattering, Phys. Rev. Lett. 56 (1986) 2459.
V. Nair, A current algebra for some gauge theory amplitudes, Phys. Lett. B 214 (1988) 215 [INSPIRE].
Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, One loop selfdual and N = 4 superYang-Mills, Phys. Lett. B 394 (1997) 105 [hep-th/9611127] [INSPIRE].
F. Berends, W. Giele and H. Kuijf, On relations between multi-gluon and multi-graviton scattering, Physics Letters B 211 (1988) 91 [INSPIRE].
Z. Bern, L.J. Dixon, M. Perelstein and J.S. Rozowsky, Multileg one loop gravity amplitudes from gauge theory, Nucl. Phys. B 546 (1999) 423 [hep-th/9811140] [INSPIRE].
J.M. Henn, Multiloop integrals in dimensional regularization made simple, Phys. Rev. Lett. 110 (2013) 251601 [arXiv:1304.1806] [INSPIRE].
N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo and J. Trnka, Local Integrals for Planar Scattering Amplitudes, JHEP 06 (2012) 125 [arXiv:1012.6032] [INSPIRE].
A.E. Lipstein and L. Mason, From the holomorphic Wilson loop to ‘d log’ loop-integrands for super-Yang-Mills amplitudes, JHEP 05 (2013) 106 [arXiv:1212.6228] [INSPIRE].
A.E. Lipstein and L. Mason, From d logs to dilogs the super Yang-Mills MHV amplitude revisited, JHEP 01 (2014) 169 [arXiv:1307.1443] [INSPIRE].
N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo and J. Trnka, Singularity Structure of Maximally Supersymmetric Scattering Amplitudes, Phys. Rev. Lett. 113 (2014) 261603 [arXiv:1410.0354] [INSPIRE].
Z. Bern, E. Herrmann, S. Litsey, J. Stankowicz and J. Trnka, Evidence for a Nonplanar Amplituhedron, JHEP 06 (2016) 098 [arXiv:1512.08591] [INSPIRE].
E. Herrmann and J. Parra-Martinez, Logarithmic forms and differential equations for Feynman integrals, JHEP 02 (2020) 099 [arXiv:1909.04777] [INSPIRE].
P. Wasser, Analytic properties of Feynman integrals for scattering amplitudes, M.Sc. thesis (2016), https://inspirehep.net/files/3f12c88b62544ddc01d20820e884986c.
J. Henn, B. Mistlberger, V.A. Smirnov and P. Wasser, Constructing d-log integrands and computing master integrals for three-loop four-particle scattering, JHEP 04 (2020) 167 [arXiv:2002.09492] [INSPIRE].
N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo, A.B. Goncharov, A. Postnikov, and J. Trnka, Grassmannian Geometry of Scattering Amplitudes, Cambridge University Press (2016).
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].
A.V. Kotikov and L.N. Lipatov, On the highest transcendentality in N = 4 SUSY, Nucl. Phys. B 769 (2007) 217 [hep-th/0611204] [INSPIRE].
F. Cachazo, Sharpening The Leading Singularity, arXiv:0803.1988 [INSPIRE].
N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo, A. Postnikov and J. Trnka, On-Shell Structures of MHV Amplitudes Beyond the Planar Limit, JHEP 06 (2015) 179 [arXiv:1412.8475] [INSPIRE].
E. Herrmann and J. Trnka, UV cancellations in gravity loop integrands, JHEP 02 (2019) 084 [arXiv:1808.10446] [INSPIRE].
J.L. Bourjaily, E. Herrmann and J. Trnka, Maximally supersymmetric amplitudes at infinite loop momentum, Phys. Rev. D 99 (2019) 066006 [arXiv:1812.11185] [INSPIRE].
Z. Bern, J.J.M. Carrasco and H. Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory, Phys. Rev. Lett. 105 (2010) 061602 [arXiv:1004.0476] [INSPIRE].
T. Gehrmann, J.M. Henn and N.A. Lo Presti, Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD, Phys. Rev. Lett. 116 (2016) 062001 [Erratum ibid. 116 (2016) 189903] [arXiv:1511.05409] [INSPIRE].
C.G. Papadopoulos, D. Tommasini and C. Wever, The Pentabox Master Integrals with the Simplified Differential Equations approach, JHEP 04 (2016) 078 [arXiv:1511.09404] [INSPIRE].
D. Chicherin, J.M. Henn and E. Sokatchev, Scattering Amplitudes from Superconformal Ward Identities, Phys. Rev. Lett. 121 (2018) 021602 [arXiv:1804.03571] [INSPIRE].
T. Gehrmann and E. Remiddi, Two loop master integrals for γ∗ → 3 jets: The Planar topologies, Nucl. Phys. B 601 (2001) 248 [hep-ph/0008287] [INSPIRE].
T. Gehrmann and E. Remiddi, Two loop master integrals for γ∗ → 3 jets: The Nonplanar topologies, Nucl. Phys. B 601 (2001) 287 [hep-ph/0101124] [INSPIRE].
K.G. Chetyrkin and F.V. Tkachov, Integration by Parts: The Algorithm to Calculate β-functions in 4 Loops, Nucl. Phys. B 192 (1981) 159 [INSPIRE].
A.V. Smirnov and F.S. Chuharev, FIRE6: Feynman Integral REduction with Modular Arithmetic, arXiv:1901.07808 [INSPIRE].
P. Maierhöfer, J. Usovitsch and P. Uwer, Kira — A Feynman integral reduction program, Comput. Phys. Commun. 230 (2018) 99 [arXiv:1705.05610] [INSPIRE].
A. von Manteuffel and C. Studerus, Reduze 2 — Distributed Feynman Integral Reduction, arXiv:1201.4330 [INSPIRE].
H. Ita, Two-loop Integrand Decomposition into Master Integrals and Surface Terms, Phys. Rev. D 94 (2016) 116015 [arXiv:1510.05626] [INSPIRE].
S. Abreu, F. Febres Cordero, H. Ita, B. Page and V. Sotnikov, Planar Two-Loop Five-Parton Amplitudes from Numerical Unitarity, JHEP 11 (2018) 116 [arXiv:1809.09067] [INSPIRE].
J. Böhm, A. Georgoudis, K.J. Larsen, H. Schönemann and Y. Zhang, Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections, JHEP 09 (2018) 024 [arXiv:1805.01873] [INSPIRE].
D. Bendle et al., Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space, JHEP 02 (2020) 079 [arXiv:1908.04301] [INSPIRE].
X. Guan, X. Liu and Y.-Q. Ma, Complete reduction of two-loop five-light-parton scattering amplitudes, Chin. Phys. C 44 (2020) 9 [arXiv:1912.09294] [INSPIRE].
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].
C. Duhr, H. Gangl and J.R. Rhodes, From polygons and symbols to polylogarithmic functions, JHEP 10 (2012) 075 [arXiv:1110.0458] [INSPIRE].
S. Catani, The Singular behavior of QCD amplitudes at two loop order, Phys. Lett. B 427 (1998) 161 [hep-ph/9802439] [INSPIRE].
G.F. Sterman and M.E. Tejeda-Yeomans, Multiloop amplitudes and resummation, Phys. Lett. B 552 (2003) 48 [hep-ph/0210130] [INSPIRE].
L.J. Dixon, L. Magnea and G.F. Sterman, Universal structure of subleading infrared poles in gauge theory amplitudes, JHEP 08 (2008) 022 [arXiv:0805.3515] [INSPIRE].
T. Becher and M. Neubert, Infrared singularities of scattering amplitudes in perturbative QCD, Phys. Rev. Lett. 102 (2009) 162001 [Erratum ibid. 111 (2013) 199905] [arXiv:0901.0722] [INSPIRE].
O. Almelid, C. Duhr and E. Gardi, Three-loop corrections to the soft anomalous dimension in multileg scattering, Phys. Rev. Lett. 117 (2016) 172002 [arXiv:1507.00047] [INSPIRE].
G.P. Korchemsky and A.V. Radyushkin, Loop Space Formalism and Renormalization Group for the Infrared Asymptotics of {QCD}, Phys. Lett. B 171 (1986) 459 [INSPIRE].
I.A. Korchemskaya and G.P. Korchemsky, On lightlike Wilson loops, Phys. Lett. B 287 (1992) 169 [INSPIRE].
S. Moch, J.A.M. Vermaseren and A. Vogt, The Three loop splitting functions in QCD: The Nonsinglet case, Nucl. Phys. B 688 (2004) 101 [hep-ph/0403192] [INSPIRE].
N. Beisert, B. Eden and M. Staudacher, Transcendentality and Crossing, J. Stat. Mech. 0701 (2007) P01021 [hep-th/0610251] [INSPIRE].
Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower and V.A. Smirnov, The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory, Phys. Rev. D 75 (2007) 085010 [hep-th/0610248] [INSPIRE].
J.M. Henn, G.P. Korchemsky and B. Mistlberger, The full four-loop cusp anomalous dimension in \( \mathcal{N} \) = 4 super Yang-Mills and QCD, JHEP 04 (2020) 018 [arXiv:1911.10174] [INSPIRE].
A. von Manteuffel, E. Panzer and R.M. Schabinger, Cusp and collinear anomalous dimensions in four-loop QCD from form factors, Phys. Rev. Lett. 124 (2020) 162001 [arXiv:2002.04617] [INSPIRE].
S. Weinberg, Infrared photons and gravitons, Phys. Rev. 140 (1965) B516 [INSPIRE].
D.C. Dunbar and P.S. Norridge, Infinities within graviton scattering amplitudes, Class. Quant. Grav. 14 (1997) 351 [hep-th/9512084] [INSPIRE].
S.G. Naculich and H.J. Schnitzer, Eikonal methods applied to gravitational scattering amplitudes, JHEP 05 (2011) 087 [arXiv:1101.1524] [INSPIRE].
C.D. White, Factorization Properties of Soft Graviton Amplitudes, JHEP 05 (2011) 060 [arXiv:1103.2981] [INSPIRE].
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].
M. Beneke and G. Kirilin, Soft-collinear gravity, JHEP 09 (2012) 066 [arXiv:1207.4926] [INSPIRE].
D. Chicherin and V. Sotnikov, Pentagon Functions for Scattering of Five Massless Particles, arXiv:2009.07803 [INSPIRE].
E.A. Kuraev, L.N. Lipatov and V.S. Fadin, Multi-Reggeon Processes in the Yang-Mills Theory, Sov. Phys. JETP 44 (1976) 443 [INSPIRE].
V. Del Duca, An introduction to the perturbative QCD Pomeron and to jet physics at large rapidities, hep-ph/9503226 [INSPIRE].
E. Remiddi and J.A.M. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15 (2000) 725 [hep-ph/9905237] [INSPIRE].
T. Gehrmann and E. Remiddi, Numerical evaluation of two-dimensional harmonic polylogarithms, Comput. Phys. Commun. 144 (2002) 200 [hep-ph/0111255] [INSPIRE].
W. Wasow, Asymptotic expansions for ordinary differential equations, in Pure and Applied Mathematics, vol. XIV, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney (1965).
J. Vollinga and S. Weinzierl, Numerical evaluation of multiple polylogarithms, Comput. Phys. Commun. 167 (2005) 177 [hep-ph/0410259] [INSPIRE].
C.W. Bauer, A. Frink and R. Kreckel, Introduction to the GiNaC framework for symbolic computation within the C++ programming language, J. Symb. Comput. 33 (2002) 1 [cs/0004015] [INSPIRE].
S. Borowka et al., pySecDec: a toolbox for the numerical evaluation of multi-scale integrals, Comput. Phys. Commun. 222 (2018) 313 [arXiv:1703.09692] [INSPIRE].
C. Anastasiou, Z. Bern, L.J. Dixon and D.A. Kosower, Planar amplitudes in maximally supersymmetric Yang-Mills theory, Phys. Rev. Lett. 91 (2003) 251602 [hep-th/0309040] [INSPIRE].
J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes, Nucl. Phys. B 826 (2010) 337 [arXiv:0712.1223] [INSPIRE].
Y. Dokshitzer and G. Marchesini, Soft gluons at large angles in hadron collisions, JHEP 01 (2006) 007 [hep-ph/0509078] [INSPIRE].
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, JHEP 12 (2011) 021 [arXiv:1109.3581] [INSPIRE].
L.N. Lipatov, Reggeization of the Vector Meson and the Vacuum Singularity in Nonabelian Gauge Theories, Sov. J. Nucl. Phys. 23 (1976) 338 [INSPIRE].
V.S. Fadin, R. Fiore, M.I. Kotsky and A. Papa, The Gluon impact factors, Phys. Rev. D 61 (2000) 094005 [hep-ph/9908264] [INSPIRE].
A. Kovner and M. Lublinsky, Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution, JHEP 02 (2007) 058 [hep-ph/0512316] [INSPIRE].
K.G. Chetyrkin and F.V. Tkachov, Infrared r operation and ultraviolet counterterms in the MS scheme, Phys. Lett. B 114 (1982) 340 [INSPIRE].
K.G. Chetyrkin and V.A. Smirnov, R* operation corrected, Phys. Lett. B 144 (1984) 419 [INSPIRE].
S. Larin and P. van Nieuwenhuizen, The Infrared R* operation, hep-th/0212315 [INSPIRE].
F. Herzog and B. Ruijl, The R*-operation for Feynman graphs with generic numerators, JHEP 05 (2017) 037 [arXiv:1703.03776] [INSPIRE].
Z. Bern, J.J.M. 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] [INSPIRE].
L.N. Lipatov and A. Prygarin, BFKL approach and six-particle MHV amplitude in N = 4 super Yang-Mills, Phys. Rev. D 83 (2011) 125001 [arXiv:1011.2673] [INSPIRE].
M.G. Kozlov, A.V. Reznichenko and V.S. Fadin, Impact factor for gluon production in multi-Regge kinematics in the next-to-leading order, Phys. Atom. Nucl. 75 (2012) 850 [INSPIRE].
V. Del Duca, C. Duhr and E.W.N. Glover, Iterated amplitudes in the high-energy limit, JHEP 12 (2008) 097 [arXiv:0809.1822] [INSPIRE].
V. Del Duca et al., Multi-Regge kinematics and the moduli space of Riemann spheres with marked points, JHEP 08 (2016) 152 [arXiv:1606.08807] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2003.03120
Supplementary Information
ESM 1
(ZIP 6393 kb)
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Caron-Huot, S., Chicherin, D., Henn, J. et al. Multi-Regge limit of the two-loop five-point amplitudes in \( \mathcal{N} \) = 4 super Yang-Mills and \( \mathcal{N} \) = 8 supergravity. J. High Energ. Phys. 2020, 188 (2020). https://doi.org/10.1007/JHEP10(2020)188
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2020)188