Publications
Publication Information
| Title | Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD |
| Authors | Raza Sufian, Joseph Karpie, Colin Egerer, Konstantinos Orginos, Jianwei Qiu, David Richards |
| JLAB number | JLAB-THY-19-2847 |
| LANL number | arXiv:1901.03921 |
| Other number | DOE/OR/23177-4624 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Physical Review Letters Volume 99 Issue 07 Page(s) 074507 Refereed | |
| Publication Abstract: | We present the first exploratory lattice QCD calculation of the pion valence quark distribution, using a lattice calculable, renormalizable, and factorizable matrix element obtained through spatially-separated current-current correlations in coordinate space. We show that an antisymmetric combination of vector and axial-vector currents provides direct information on the pion valence quark distribution. Using the collinear factorization approach, we calculate the leading order perturbative kernel for this current combination and extract the pion valence distribution. The main goal of this article is to demonstrate the efficacy of this general lattice QCD approach in the reliable extraction of parton distributions. With controllable power corrections and a good understanding of the lattice systematics, this method has the potential to serve as a complementary to the many efforts to extract parton distributions in global analyses from experimentally measured cross sections. We perform our calculation on an ensemble of 2+1 flavor QCD using the isotropic-clover fermion action, with lattice dimensions $32^3\times 96$ at a lattice spacing \mbox{$a=0.127$ fm} and the quark mass equivalent to a pion mass $m_\pi \simeq 416$ MeV. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.99.074507 |
| Accepted Manuscript: | PhysRevD.99.074507.pdf |
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| Supporting Datasets: | |