Proton generalized parton distributions from lattice QCD

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

Preprint

PUBDB-2022-06436

Proton generalized parton distributions from lattice QCD

Scapellato, A. (Corresponding author) ; Alexandrou, C. ; Cichy, K. ; Constantinou, M. ; Hadjiyiannakou, K. ; Jansen, K.DESY* ; Steffens, F.

2022

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Report No.: arXiv:2201.06519

Abstract: 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 Nf = 2 + 1 + 1 maximally twisted mass fermions, with pion mass Mπ = 260 MeV and lattice spacing a ' 0.093 fm. Our calculations use the quasi-distribution formalism and the final distributions are presented in the MS scheme at a renormalization scale of 2 GeV.

Keyword(s): p: generalized parton distribution ; parton: distribution function ; generalized parton distribution: transversity ; quark: spatial distribution ; fermion: mass: twist ; pi: mass ; scale: renormalization ; lattice field theory ; lattice ; flavor: 4 ; isovector ; gluon ; helicity ; higher-dimensional ; hadron ; lattice QCD ; Lattice QCD ; nucleon structure ; generalized parton distributions ; 11.15.Ha ; 12.38.Gc ; 12.60.-i ; 12.38.Aw