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arXiv · 1904.00978

Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory

Wei Wang·Jian-Hui Zhang·Shuai Zhao·Ruilin Zhu
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Abstract

We complete the procedure of extracting parton distribution functions (PDFs) using large momentum effective theory (LaMET) 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 $\mathcal O(α_s)$, 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.

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Wei Wang, Jian-Hui Zhang, Shuai Zhao, Ruilin Zhu. 2020-11-10. Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory. https://doi.org/10.1103/physrevd.100.074509

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