N=4 supersymmetric Yang–Mills scattering amplitudes at high energies: the Regge cut contribution

By J. Bartels, L. Lipatov, A. S. Vera, A. Vera. 2008

148 citations recorded by the source corpus.

We further investigate, in the planar limit of N=4 supersymmetric Yang–Mills theories, the high energy Regge behavior of six-point MHV scattering amplitudes. In particular, for the new Regge cut contribution found in our previous paper, we compute in the leading logarithmic approximation (LLA) the energy spectrum of the BFKL equation in the color octet channel, and we calculate explicitly the two-loop corrections to the discontinuities of the amplitudes for the transitions 2→4 and 3→3. We find an explicit solution of the BFKL equation for the octet channel for arbitrary momentum transfers and investigate the intercepts of the Regge singularities in this channel. As an important result we find that the universal collinear and infrared singularities of the BDS formula are not affected by this Regge-cut contribution. Any improvement of the BDS formula should reproduce this cut to all orders in the coupling.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e303e7d192f70bad67416ef3521a914694b2be9d

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Citations in the corpus

A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon (2014, background): “More generally, it is expected that the integrability of the theory [40] will play an instrumental role in determining its S-matrix, and apart from the collinear limit it has also led to all-loop expressions in the multi-Regge limit [41], another kinematical regime that has provided significant info”
Bootstrapping an NMHV amplitude through three loops (2014, background): “In this limit, Lipatov and collaborators have described the factorization of the N = 4 amplitudes in a Fourier-Mellin transformed space [47–54].”
When does the gluon reggeize? (2013, methodology): “[94, 111].”
Single-valued harmonic polylogarithms and the multi-Regge limit (2012, background): “The BFKL eigenvalue is known to the first two orders in perturbation theory [35, 40],”
Heptagons from the Steinmann cluster bootstrap (2016, background): “9) (3)The implications of the Steinmann relations for the multi-Regge limit of amplitudes in planar N = 4 SYM have been analyzed in [29, 61, 103, 104].”
Hexagon functions and the three-loop remainder function (2013, background): “A second limit we study is the limit of multi-Regge kinematics (MRK), which has provided another important guide to the perturbative structure of the six-point remainder function [33, 45–51], as well as higher-point remainder functions [52, 53] and NMHV amplitudes [54].”