The Two-Loop Symbol of all Multi-Regge Regions
Abstract
We study the symbol of the two-loop n-gluon MHV amplitude for all Mandelstam regions in multi-Regge kinematics in N=4 super Yang-Mills theory. While the number of distinct Mandelstam regions grows exponentially with n, the increase of independent symbols turns out to be merely quadratic. We uncover how to construct the symbols for any number of external gluons from just two building blocks which are naturally associated with the six- and seven-gluon amplitude, respectively. The second building block is entirely new, and in addition to its symbol, we also construct a prototype function that correctly reproduces all terms of maximal functional transcendentality.
Cite
@article{arxiv.1512.07620,
title = {The Two-Loop Symbol of all Multi-Regge Regions},
author = {Till Bargheer and Georgios Papathanasiou and Volker Schomerus},
journal= {arXiv preprint arXiv:1512.07620},
year = {2018}
}
Comments
20 pages, v2: include details on functions f and g, make appendix consistent with main text, typesetting (published version)