An Extremal Chiral Primary Three-Point Function at Two-loops in ABJ(M)

TL;DR

This paper calculates the two-loop correction to a specific three-point function in planar ABJ(M) theory, providing insights into the structure constants of chiral primary operators at weak coupling.

Contribution

It introduces a novel method to compute the leading correction to the three-point function in ABJ(M) theory using four-loop integrals with a finite position integration.

Findings

Leading correction computed at two-loops for specific operators

Method reduces problem to four-loop propagator integrals

Results enhance understanding of operator structure constants

Abstract

I compute the leading correction to the structure constant for the three-point function of two length-two and one length-four chiral primary operators in planar ABJ(M) theory at weak 't Hooft coupling. The computation is reduced to four-loop propagator type Feynman integrals via a manifestly finite integration over the position of the length-four operator.