Master integrals for two-loop QCD corrections to quark quasi PDFs

Master integrals for two-loop QCD corrections to quark quasi PDFs

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Abstract We compute the master integrals for the two-loop QCD corrections to quark new balance 990 v3 red 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 iphone 12 price florida the nucleon PDFs from first principles in future.