Zimmermann, Christian and Schaefer, Andreas (2024) Valence quark PDFs of the proton from two-current correlations in lattice QCD. PHYSICAL REVIEW D, 110 (7): 074503. ISSN 2470-0010, 2470-0029
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Following previous works on that topic, we consider Euclidean hadronic matrix elements in position space of two spatially separated local currents on the lattice, in order to extract the x dependence of parton distribution functions (PDFs). The corresponding approach is often referred to by the term lattice cross section. In this work we will consider valence quark PDFs of an unpolarized proton. We adapt the previously established formalism to our choice of operators. The calculation of the two-current matrix elements requires the evaluation of four-point functions. The corresponding calculation is carried out on a nf = 2 + 1 gauge ensemble with lattice spacing a = 0.0856 fm and pseudoscalar masses m pi = 355 MeV and mK = 441 MeV. The four-point functions have been evaluated in a previous project. The lattice data is converted to the MS scheme at a scale mu = 2 GeV and improved with respect to lattice artifacts. We use a common model as fit ansatz for the lattice data in order to extract the PDFs.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Oct 2025 09:47 |
| Last Modified: | 07 Oct 2025 09:47 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64429 |
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