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Master Integrals for two-loop QCD corrections to Quasi PDFs

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arxiv 2006.10917 v1 pith:3QLIPZEA submitted 2020-06-19 hep-ph hep-latnucl-th

Long-Bin Chen , Wei Wang , Ruilin Zhu This is my paper · ORCID
classification hep-phhep-latnucl-th
keywords integralsmasterpdfsquasitwo-loopcorrectionseffectiveextract
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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.

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  1. Conformal Mapping in Matching Quark Correlation Functions to Parton Distribution Functions

    hep-ph 2024-11 conditional novelty 4.0 of 10

    Conformal mapping of the Borel-transformed matching kernel reduces the scale-variation error band for quark correlation function to PDF matching by up to 40%.

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