Extracting OPE coefficient of Konishi at four loops

TL;DR

This paper calculates the Operator Product Expansion (OPE) coefficient of the Konishi operator with two 20' operators at four loops using asymptotic expansions of four-point functions.

Contribution

It introduces a method to compute four-loop OPE coefficients for Konishi using asymptotic expansions and four-point functions of 20' operators.

Findings

Computed four-loop OPE coefficient of Konishi with two 20' operators.

Demonstrated the use of asymptotic expansions in high-loop calculations.

Provided explicit integral evaluations at the required order.

Abstract

We compute in this short note the OPE coefficient of two 20' operators and the Konishi. We use the OPE decomposition of a four point function of four 20' operators and the method of asymptotic expansions to compute the integrals at the order that it is needed.