Master Integrals for two-loop QCD corrections to Quasi PDFs

Understand

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.