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

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

Blog Article

Abstract We compute the master integrals for the two-loop QCD corrections to quark quasi fuchsia velvet tablecloth 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 deus gorras 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.