Perturbative correlation functions of null Wilson loops and local operators

TL;DR

This paper computes the perturbative correlation functions between a null Wilson loop with four edges and a local operator in planar MSYM, providing explicit one-loop results and finiteness at two loops.

Contribution

It introduces an integral representation for these correlation functions at one and two loops, extending the insertion procedure to this context.

Findings

Explicit one-loop correlation function computed.

Two-loop result shown to be finite.

Provides a new integral representation for perturbative calculations.

Abstract

We consider the correlation function of a null Wilson loop with four edges and a local operator in planar MSYM. By applying the insertion procedure, developed for correlation functions of local operators, we give an integral representation for the result at one and two loops. We compute explicitly the one loop result and show that the two loop result is finite.