Physical Review D
074509 (30 pg.)
We complete the procedure of extracting parton distribution functions (PDFs) using large momentum effective theory at leading power accuracy in the hadron momentum. We derive a general factorization formula for the quasi-PDFs in the presence of mixing and give the corresponding hard matching kernel at O(αs), both for the unpolarized and for the polarized quark and gluon quasi-PDFs. Our calculation is performed in a regularization-independent momentum subtraction scheme. The results allow us to match the nonperturbatively renormalized quasi-PDFs to normal PDFs in the presence of mixing and therefore can be used to extract flavor-singlet quark PDFs as well as gluon PDFs from lattice simulations.
Original Publication Citation
Wang, W., Zhang, J. H., Zhao, S., & Zhu, R. L. (2019). Complete matching for quasidistribution functions in large momentum effective theory. Physical Review D, 100(074509), 30. doi:10.1103/PhysRevD.100.074509
Wang, Wei; Zhang, Jian-Hui; Zhao, Shuai; and Zhu, Ruilin, "Complete Matching for Quasidistribution Functions in Large Momentum Effective Theory" (2019). Physics Faculty Publications. 394.