Six-point gluon scattering amplitudes from Z_4-symmetric integrable model

TL;DR

This paper analyzes six-point gluon scattering amplitudes at strong coupling in N=4 super Yang-Mills theory using integrable models, providing analytical and numerical insights into the remainder function near different limits.

Contribution

It introduces a novel approach connecting integrable models with gluon scattering amplitudes, computing the remainder function near small and large mass limits.

Findings

Agreement between analytical and numerical results

Explicit formulas for the remainder function near limits

Leading corrections identified for large mass limit

Abstract

We study six-point gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling by investigating the thermodynamic Bethe ansatz equations of the underlying Z_4-symmetric integrable model both analytically and numerically. By the conformal field theory (CFT) perturbation, we compute the free energy part of the remainder function with generic chemical potential near the CFT/small mass limit. Combining this with the expansion of the Y-functions, we obtain the remainder function near the small mass limit up to a function of the chemical potential, which can be evaluated numerically. We also find the leading corrections to the remainder function near the large mass limit. We confirm that these results are in good agreement with numerical computations.