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Proton generalized parton distributions from lattice QCD

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arxiv 2201.06519 v1 pith:H5IDVTVJ submitted 2022-01-17 hep-lat

Proton generalized parton distributions from lattice QCD

classification hep-lat
keywords latticedistributionsgpdsgeneralizedmasspartonprotoncalculations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Momentum and spatial distributions of quarks and gluons inside hadrons are typically encoded in the so-called generalized parton distributions (GPDs). GPDs are multi-dimensional quantities that are very challenging to extract, both experimentally and within lattice QCD. We present the first lattice results on the $x$-dependence of isovector unpolarized, helicity and transversity GPDs of the proton, obtained from lattice QCD using an ensemble of $N_f=2+1+1$ maximally twisted mass fermions, with pion mass $M_\pi=260$ MeV and lattice spacing $a\simeq 0.093$ fm. Our calculations use the quasi-distribution formalism and the final distributions are presented in the MS-bar scheme at a renormalization scale of 2 GeV.

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