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Apr 12 – 14, 2023
Minneapolis, Minnesota
US/Central timezone

Leading Power Accuracy in Lattice Calculations of Parton Distributions

Apr 12, 2023, 5:00 PM
20m
Orchestra B

Orchestra B

Speaker

Rui Zhang (University of Maryland, College Park)

Description

In lattice-QCD calculations of parton distribution functions (PDFs) via large-momentum effective theory, the leading power correction appears as ${\cal O}(\Lambda_{\rm QCD}/P^z)$ in matching to the quasi distributions due to linearly-divergent self-energy in quasi-PDF operators. For lattice data with hadron momentum $P^z$ of a few GeV, this correction is important for accurate predictions of the effective theory. We show how to attain the leading power accuracy by fixing the scheme of non-perturbative mass renormalization in the quasi-PDFs consistent with the summation/regularization method of the infrared-renormalon series in the matching coefficients. A demonstrative example on the pion PDF data at $P^z = 1.9$ GeV is shown to improve the theoretical error in matching by a factor of $3$ in the region $x= 0.2\sim 0.5$.

Primary authors

Rui Zhang (University of Maryland) Jack Holligan (University of Maryland) Xiangdong Ji (U. Maryland) Yushan Su (University of Maryland) Rui Zhang (University of Maryland, College Park)

Presentation materials