Moments of nucleon generalized parton distributions from lattice QCD

Abstract

We present results on the lower moments of the nucleon generalized parton distri butions within lattice QCD using two dynamical flavors of degenerate twisted mass fermions. Our simulations are performed on lattices with three different values of the lattice spacings, namely $a=0.089$ fm, $a=0.070$ fm and $a=0.056$ fm, allowing the investigation of cut-off effects. The volume dependence is examined using simulations on two lattices of spatial length $L=2.1$ fm and $L=2.8$ fm. The simulations span pion masses in the range of 260-470 MeV. Our results are renormalized non-perturbatively and the values are given in the $\overline{\mathrm{MS}}$ scheme at a scale $\mu =2$ GeV. They are chirally extrapolated to the physical point in order to compare with experiment. The consequences of these results on the spin carried by the quarks in the nucleon are investigated.

23 pages, 15 figures

References in corpus (7)

• QCD Analysis of the Polarized World Data
• Twisted mass lattice QCD
• Light baryon masses with dynamical twisted mass fermions
• Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon
• Renormalization constants for 2-twist operators in twisted mass QCD
• Generalized parton distributions for the nucleon in chiral perturbation theory
• Hadronic structure from the lattice

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