Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-04-08
Phys.Rev.D83:114513,2011
Physics
High Energy Physics
High Energy Physics - Lattice
23 pages, 15 figures
Scientific paper
10.1103/PhysRevD.83.114513
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 $\bar{\rm MS}$ 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.
Alexandrou Constantia
Carbonell Jaime
Constantinou Martha
Guichon PAM
Harraud Pierre-Antoine
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