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 Jigsaw Puzzle 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 using the method of differential equations.The final expressions LIQUID MULTI-VITAMIN COMPLEX 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 the nucleon PDFs from first principles in future.