Master Integrals for two-loop QCD corrections to Quasi PDFs
High Energy Physics - Phenomenology
2020-10-28 v1 High Energy Physics - Lattice
Nuclear Theory
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.
Keywords
Cite
@article{arxiv.2006.10917,
title = {Master Integrals for two-loop QCD corrections to Quasi PDFs},
author = {Long-Bin Chen and Wei Wang and Ruilin Zhu},
journal= {arXiv preprint arXiv:2006.10917},
year = {2020}
}
Comments
21 pages