The all-loop conjecture for integrands of reggeon amplitudes in N=4 SYM
Abstract
In this paper we present the all-loop conjecture for integrands of Wilson line form factors, also known as reggeon amplitudes, in N=4 SYM. In particular we present a new gluing operation in momentum twistor space used to obtain reggeon tree-level amplitudes and loop integrands starting from corresponding expressions for on-shell amplitudes. The introduced gluing procedure is used to derive BCFW recursions both for tree-level reggeon amplitudes and their loop integrands. In addition we provide predictions for reggeon loop integrands written in the basis of local integrals. As a check of the correctness of gluing operation at loop level we derive the expression for LO BFKL kernel in N=4 SYM.
Keywords
Cite
@article{arxiv.1802.03986,
title = {The all-loop conjecture for integrands of reggeon amplitudes in N=4 SYM},
author = {A. E. Bolshov and L. V. Bork and A. I. Onishchenko},
journal= {arXiv preprint arXiv:1802.03986},
year = {2018}
}
Comments
47 pages, 14 figures; v3: minor changes, typos corrected