Analytic structure of the $n = 7$ scattering amplitude in $\mathcal{N}=4$ SYM theory in multi-Regge kinematics: Conformal Regge cut contribution

TL;DR

This paper computes the leading order Regge cut contributions to the 2→5 scattering amplitude in planar $ ext{N}=4$ SYM theory within multi-Regge kinematics, revealing finite and conformally invariant results across all kinematic regions.

Contribution

It provides the first comprehensive calculation of Regge cut contributions for the 2→5 amplitude in all kinematic regions at leading order in $ ext{N}=4$ SYM theory.

Findings

Regge cut contributions are infrared finite.

Results are conformally invariant.

Applicable across all kinematic regions.

Abstract

In this second part of our investigation of the analytic structure of the $2\to5$ scattering amplitude in the planar limit of $\mathcal{N}=4$ SYM in multi-Regge kinematics we compute, in all kinematic regions, the Regge cut contributions in leading order. The results are infrared finite and conformally invariant.