Collinear and Regge behavior of 2 -> 4 MHV amplitude in N = 4 super Yang-Mills theory

TL;DR

This paper analyzes the collinear and Regge behavior of the 2 -> 4 MHV amplitude in N=4 super Yang-Mills theory, confirming BFKL approach predictions up to five loops and exploring the remainder function's properties.

Contribution

It provides an analytical continuation of the remainder function in collinear kinematics to the Mandelstam region and compares it with BFKL predictions up to five loops.

Findings

Agreement with BFKL approach up to five loops

Analytical continuation of the remainder function

Discussion on non-multiplicative renormalization

Abstract

We investigate the collinear and Regge behavior of the 2 -> 4 MHV amplitude in N = 4super Yang-Mills theory in the BFKL approach. The expression for the remainder function in the collinear kinematics proposed by Alday, Gaiotto, Maldacena, Sever and Vieira is analytically continued to the Mandelstam region. The result of the continuation in the Regge kinematics shows an agreement with the BFKL approach up to to five-loop level. We present the Regge theory interpretation of the obtained results and discuss some issues related to a possible non-multiplicative renormalization of the remainder function in the collinear limit.