Matching gluon scattering amplitudes and Wilson loops in off-shell regularization

TL;DR

This paper introduces a regularization method for light-like polygonal Wilson loops in N=4 SYM that aligns with off-shell MHV gluon scattering amplitudes, demonstrating gauge independence and explicit 1-loop calculations.

Contribution

It presents a novel regularization scheme for Wilson loops that matches off-shell gluon scattering amplitudes, with explicit 1-loop computations and gauge invariance analysis.

Findings

Matching between Wilson loops and gluon amplitudes confirmed at 1-loop

Regularization scheme preserves gauge independence of infrared divergences

Explicit 1-loop four-gluon calculations support the theoretical framework

Abstract

We construct a regularization for light-like polygonal Wilson loops in ${\cal N}=4$ SYM, which matches them to the off-shell MHV gluon scattering amplitudes. Explicit calculations are performed for the 1-loop four gluon case. The off light cone extrapolation has to be based on the local supersymmetric Wilson loop. The observed matching concerns Feynman gauge. Furthermore, the leading infrared divergent term is shown to be gauge parameter independent on 1-loop level.