A note on three-point functions of unprotected operators

TL;DR

This paper presents a direct weak-coupling calculation of three-point functions involving unprotected operators in N=4 SYM, focusing on two-loop order and extending the understanding of structure constants beyond protected operators.

Contribution

It introduces a novel direct perturbative method for computing three-point functions with multiple unprotected operators at two-loop order in N=4 SYM.

Findings

Computed structure constants involving unprotected operators at two-loop order

Extended the understanding of three-point functions beyond protected operators

Provided explicit results for certain correlators in N=4 SYM

Abstract

Given the recent progress in computing three-point functions in N=4 SYM via integrability, I provide here a novel direct calculation of some structure constants at weak coupling. The main focus is on correlators involving more than one unprotected operator, at two-loop order in the perturbative expansion.