Form Factors of Chiral Primary Operators at Two Loops in ABJ(M)

TL;DR

This paper computes the two-loop form factors of chiral primary operators in ABJ(M) theory, revealing the leading quantum correction's order, divergence structure, and transcendentality properties.

Contribution

It provides the first explicit calculation of two-loop form factors for chiral primaries in ABJ(M), highlighting the divergence pattern and transcendentality.

Findings

Leading correction is order lambda squared.

Divergence is 1/epsilon^2 in dimensional regularization.

Result respects maximal transcendentality.

Abstract

We calculate the colour-ordered form factor for chiral primary operators built from J scalar fields of ABJ(M) theory to J scalar final states. We work in the 't Hooft limit and show that the leading quantum correction is order lambda squared, where lambda is the 't Hooft coupling. We evaluate this leading correction using standard Feynman diagrams and dimensional regularization, and find that the leading divergence is 1/epsilon^2 where the spacetime dimension is d = 3 - 2 epsilon. We further find that the result respects maximal transcendentality.