Master integrals for two-loop QCD corrections to quark quasi PDFs
Long-Bin Chen, Wei Wang, Ruilin Zhu
Abstract
A bstract We compute the master integrals for the two-loop QCD corrections to quark quasi parton distribution functions (PDFs) in the large momentum effective theory (LaMET). With a proper canonical basis, we derive the analytical results for the three families of master integrals using the method of differential equations. The final expressions for the master integrals are given in terms of Goncharov polylogarithms. These results allow us to extract the two-loop short-distant matching coefficients between quark quasi and lightcone PDFs in LaMET, and are valuable to improve the determination of the nucleon PDFs from first principles in future.
Topics & Concepts
PhysicsQuantum chromodynamicsPartonParticle physicsQuarkDifferential (mechanical device)Distribution (mathematics)Momentum (technical analysis)Mathematical physicsTop quarkDistribution functionNucleonQuantum electrodynamicsMatching (statistics)Quark modelParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research