TY  - JOUR
AU  - Bargheer, Till
TI  - Systematics of the multi-Regge three-loop symbol
JO  - Journal of high energy physics
VL  - 2017
IS  - 11
SN  - 1029-8479
CY  - Berlin
PB  - Springer
M1  - PUBDB-2017-12764
M1  - DESY-16-115
M1  - arXiv:1606.07640
SP  - 77
PY  - 2017
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000415370900001
DO  - DOI:10.1007/JHEP11(2017)077
UR  - https://bib-pubdb1.desy.de/record/396563
ER  -