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arXiv:2008.10573 [hep-lat]AbstractReferencesReviewsResources

Unpolarized and helicity generalized parton distributions of the proton within lattice QCD

Constantia Alexandrou, Krzysztof Cichy, Martha Constantinou, Kyriakos Hadjiyiannakou, Karl Jansen, Aurora Scapellato, Fernanda Steffens

Published 2020-08-24Version 1

We present the first calculation of the $x$-dependence of the proton generalized parton distributions (GPDs) within lattice QCD. Results are obtained for the isovector unpolarized and helicity GPDs. We compute the appropriate matrix elements of fast-moving protons coupled to non-local operators containing a Wilson line. We present results for proton momenta $0.83,\,1.25,\,1.67$ GeV, and momentum transfer squared $0.69,\,1.38$ GeV$^2$. These combinations include cases with zero and nonzero skewness. The calculation is performed using one ensemble of two degenerate mass light, a strange and a charm quark of maximally twisted mass fermions with a clover term. The lattice results are matched to the light-cone GPDs using one-loop perturbation theory within the framework of large momentum effective theory. The final GPDs are given in the $\overline{\rm MS}$ scheme at a scale of 2 GeV.

Comments: Main document: 5 pages, Supplementary document: 10 pages. The Supplementary document is included as an appendix to the main text
Categories: hep-lat, hep-ex, hep-ph, hep-th
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