BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills

TL;DR

This paper analyzes the six-particle MHV amplitude in N=4 super Yang-Mills theory using BFKL techniques, performing analytic continuation and calculating next-to-leading corrections at two and three loops in the Regge limit.

Contribution

It provides the first calculation of next-to-leading impact factors and three-loop BFKL corrections for the six-particle MHV amplitude in this theory.

Findings

Analytic continuation of the two-loop remainder function to the physical region.

Calculation of next-to-leading impact factors in the BFKL approach.

Determination of leading imaginary and real parts of the three-loop remainder function.

Abstract

We consider the planar MHV amplitude in N=4 supersymmetric Yang-Mills theory for 2 -> 4 particle scattering at two and three loops in the Regge kinematics. We perform an analytic continuation of two-loop result for the remainder function found by Goncharov, Spradlin, Vergu and Volovich to the physical region, where the remainder function does not vanish in the Regge limit. After the continuation both the leading and the subleading in the logarithm of the energy terms are extracted and analyzed. Using this result we calculate the next-to-leading corrections to the impact factors required in the BFKL approach. The BFKL technique was used to find the leading imaginary and real parts of the remainder function at three loops.