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Publication Information
Title Bayesian Wilson coefficients in lattice QCD computations of PDF and GPD
Abstract We propose an analysis method for the leading-twist operator product expansion based lattice QCD determinations of the valence parton distribution function (PDF). In the first step, we determine the confidence-intervals of the leading-twist MS-bar Wilson coefficients, $C_n(\mu^2 z^2)$, of the equal-time bilocal quark bilinear, given the lattice QCD matrix element of Ioffe-time distribution for a particular hadron {\sl H} as well as the prior knowledge of the valence PDF, $f(x,\mu)$ of the hadron {\sl H} determined via global fit from the experimental data. In the next step, we apply the numerically estimated $C_n$ in the lattice QCD determinations of the valence PDFs of other hadrons, and for the zero-skewness generalized parton distribution (GPD) of the same hadron {\sl H} at non-zero momentum transfers. Our proposal still assumes the dominance of leading-twist terms, but it offers a pragmatic alternative to the usage of perturbative Wilson coefficients and their associated higher-lo
Author(s) Nikhil Sridharan Karthik, R. Sabbir Sufian
Publication Date October 2021
Document Type Journal Article
Primary Institution The College of William and Mary, Williamsburg, VA
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP), DE-FG02-04ER41302
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-21-3416 OSTI Number: 1825059
LANL Number: arXiv:2106.03875 Other Number: DOE/OR/23177-5236
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review D
Refereed Yes
Volume 104
Issue
Page(s) 074506
Attachments/Datasets/DOI Link
Document(s)
pap1.pdf (STI Document)
PhysRevD.104.074506.pdf (Accepted Manuscript)
paper_revised.pdf (Supporting)
DOI Link
Dataset(s) (none)
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