Publications
Publication Information
| Title | Bayesian Wilson coefficients in lattice QCD computations of PDF and GPD | ||
| Authors | Nikhil Sridharan Karthik, R. Sabbir Sufian | ||
| JLAB number | JLAB-THY-21-3416 | ||
| LANL number | arXiv:2106.03875 | ||
| Other number | DOE/OR/23177-5236 | ||
| Document Type(s) | (Journal Article) | ||
| Associated with EIC: | No | ||
| Supported by Jefferson Lab LDRD Funding: | No | ||
| Funding Source: | Nuclear Physics (NP) | ||
| Other Funding: | DE-FG02-04ER41302 | ||
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Journal Compiled for Physical Review D Volume 104 Page(s) 074506 Refereed | |||
| Publication 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-loop uncertainties such as the effect of all-order logarithms at larger sub-fermi quark-antiquark separations $z$. | ||
| Experiment Numbers: | other | ||
| Group: | THEORY CENTER | ||
| Document: | |||
| DOI: | https://doi.org/10.1103/PhysRevD.104.074506 | ||
| Accepted Manuscript: | PhysRevD.104.074506.pdf | ||
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