TY - EJOUR AU - Bargheer, Till AU - Papathanasiou, Georgios AU - Schomerus, Volker TI - The Two-Loop Symbol of all Multi-Regge Regions IS - DESY-15-257 M1 - PUBDB-2016-00074 M1 - DESY-15-257 M1 - arXiv:1512.07620 PY - 2015 AB - 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. KW - supersymmetry: 4 (autogen) KW - kinematics: multi-Regge (autogen) KW - buildings (autogen) KW - maximally helicity violating amplitude (autogen) KW - gluon (autogen) LB - PUB:(DE-HGF)25 ; PUB:(DE-HGF)29 DO - DOI:10.3204/PUBDB-2016-00074 UR - https://bib-pubdb1.desy.de/record/292827 ER -