{
"id": "2001.04960",
"version": "v1",
"published": "2020-01-14T18:43:00.000Z",
"updated": "2020-01-14T18:43:00.000Z",
"title": "Pion Valence Quark Distribution at Large $x$ from Lattice QCD",
"authors": [
"Raza Sabbir Sufian",
"Colin Egerer",
"Joseph Karpie",
"Robert G. Edwards",
"Bálint Joó",
"Yan-Qing Ma",
"Kostas Orginos",
"Jian-Wei Qiu",
"David G. Richards"
],
"comment": "5 pages, 4 figures",
"categories": [
"hep-lat",
"hep-ex",
"hep-ph",
"nucl-ex",
"nucl-th"
],
"abstract": "Using a short-distance collinear factorization, the pion valence quark distribution $q^\\pi_{\\rm v}(x)$ is extracted from spacelike correlations of antisymmetrized vector and axial-vector (V-A) currents, where the employed perturbative hard coefficient is derived to one-loop. Finite lattice spacing, volume, and quark mass dependencies are investigated in a simultaneous fit of matrix elements computed on four gauge ensembles, providing a physical limit Ioffe time distribution. Using two different phenomenologically motivated parametrizations of $q^\\pi_{\\rm v}(x)$, the $q^\\pi_{\\rm v}(x)$ distribution is found to be in very good agreement with that extracted from experimental data. At large $x$, a softer valence quark distribution is slightly favored by the figure of merit of this calculation. These two distributions are consistent within uncertainty and reproduce the extraction of $q^\\pi_{\\rm v}(x)$ from the experimental data in the entire $x$-region, showing the robustness of our calculation.",
"revisions": [
{
"version": "v1",
"updated": "2020-01-14T18:43:00.000Z"
}
],
"analyses": {
"keywords": [
"pion valence quark distribution",
"lattice qcd",
"physical limit ioffe time distribution",
"experimental data",
"softer valence quark distribution"
],
"note": {
"typesetting": "TeX",
"pages": 5,
"language": "en",
"license": "arXiv",
"status": "editable"
}
}
}