%0 Journal Article
%A Bargheer, Till
%T Systematics of the multi-Regge three-loop symbol
%J Journal of high energy physics
%V 2017
%N 11
%@ 1029-8479
%C Berlin
%I Springer
%M PUBDB-2017-12764
%M DESY-16-115
%M arXiv:1606.07640
%P 77
%D 2017
%X We review the systematics of Mandelstam cut contributions to planar scattering amplitudes in the multi-Regge limit. Isolating the relevant cut terms, we explain how the BFKL expansion can be used to construct the perturbative n-point multi-Regge limit amplitude in certain kinematic regions from a finite number of basic building blocks. At three loops and at leading logarithmic order, two building blocks are required. Their symbols are extracted from the known three-loop six-point and seven-point symbols for general kinematics. The new seven-point building block is constructed in terms of single-valued multiple polylogarithms to the extent it can be determined using the symbol as well as further symmetry and consistency constraints. Beyond the leading logarithmic order, the subleading and sub-subleading terms require two and one further building block, respectively. The latter could either be reconstructed from further perturbative data, or from BFKL integrals involving yet-unknown corrections to the central emission block.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000415370900001
%R 10.1007/JHEP11(2017)077
%U https://bib-pubdb1.desy.de/record/396563