[Submitted on 9 May 2023] (cross-list from hep-lat)
Leading Power Accuracy in Lattice Calculations of Parton Distributions
Rui Zhang🇺🇸 · Jack Holligan🇺🇸 · Xiangdong Ji🇺🇸 · Yushan Su🇺🇸
In lattice-QCD calculations of parton distribution functions (PDFs) via large-momentum effective theory, the leading power (twist-three) correction appears as due to the linear-divergent self-energy of Wilson line in quasi-PDF operators. For lattice data with hadron momentum of a few GeV, this correction is dominant in matching, as large as 30\% or more. We show how to eliminate this uncertainty through choosing the mass renormalization parameter consistently with the resummation scheme of the infrared-renormalon series in perturbative matching coefficients. An example on the lattice pion PDF data at GeV shows an improvement of matching accuracy by a factor of more than in the expansion region .
- Comments:
- Updated to version published on PLB
- Subjects:
- High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
- arXiv:
- 2305.05212 [pdf]