Master Integrals for two-loop QCD corrections to Quasi PDFs

TL;DR

This paper calculates the master integrals needed for two-loop QCD corrections to quasi PDFs, enabling precise extraction of nucleon PDFs from first principles using large momentum effective theory.

Contribution

It provides analytical expressions for master integrals using differential equations and Goncharov polylogarithms, advancing the computation of two-loop corrections in QCD.

Findings

Derived analytical results for master integrals in terms of Goncharov polylogarithms

Facilitated extraction of two-loop short-distance matching coefficients

Enhanced the precision of nucleon PDF calculations from first principles

Abstract

We compute the master integrals for two-loop QCD corrections to quasi parton distribution functions (PDFs) in large momentum effective theory. Analytical results of the master integrals are derived using the method of differential equations, along with a proper choice of canonical basis. The results of master integrals are expressed in terms of Goncharov polylogarithms. These integrals allow to extract the two-loop short-distance matching coefficients between quasi and light cone PDFs in large momentum effective theory, and are helpful to extract the nucleon PDFs from first principles.