CERN Accelerating science

Article
Report number	arXiv:1801.10605 ; DESY-18-009 ; CERN-TH-2018-016 ; CP3-18-06 ; SLAC-PUB-17220
Title	The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
Author(s)	Del Duca, Vittorio (Zurich, ETH) ; Druc, Stefan (Southampton U.) ; Drummond, James (Southampton U.) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Marzucca, Robin (Louvain U., CP3) ; Papathanasiou, Georgios (DESY) ; Verbeek, Bram (Louvain U., CP3)
Publication	2018-06-21
Imprint	2018-01-31
Number of pages	56
Note	* Temporary entry * 56 pages, 4 figures, 1 table; v2: minor corrections and clarifications, matches published version
In:	JHEP 06 (2018) 116
DOI	10.1007/JHEP06(2018)116
Subject category	hep-th ; Particle Physics - Theory
Abstract	We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2->5 amplitude in planar N=4 super Yang-Mills theory. It follows from factorization, dual conformal symmetry and consistency with soft limits, and specifically holds in the region where the energies of all produced particles have been analytically continued. After promoting the known symbol of the 2-loop N-particle MHV amplitude in this region to a function, we specialize to N=7, and extract from it the next-to-leading order (NLO) correction to the BFKL central emission vertex, namely the building block of the dispersion integral that had not yet appeared in the well-studied six-gluon case. As an application of our results, we explicitly compute the seven-gluon amplitude at next-to-leading logarithmic accuracy through 5 loops for the MHV case, and through 3 and 4 loops for the two independent NMHV helicity configurations, respectively.
Copyright/License	publication: (License: CC-BY-4.0) preprint: (License: arXiv nonexclusive-distrib 1.0)

Corresponding record in: Inspire