MASTER INTEGRALS FOR TWO-LOOP QCD CORRECTIONS TO QUARK QUASI PDFS

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 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 intra-trac3 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 oliver peoples forman r the determination of the nucleon PDFs from first principles in future.

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