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arXiv · 1108.1076

Precision Study of Excited State Effects in Nucleon Matrix Elements

Simon Dinter·Constantia Alexandrou·Martha Constantinou·Vincent Drach·Karl Jansen·Dru B. Renner
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Abstract

We present a dedicated analysis of the influence of excited states on the calculation of nucleon matrix elements. This calculation is performed at a fixed value of the lattice spacing, volume and pion mass that are typical of contemporary lattice computations. We focus on the nucleon axial charge, g_A, for which we use about 7,500 measurements, and on the average momentum of the unpolarized isovector parton distribution, _{u-d}, for which we use about 23,000 measurements. All computations are done employing N_f=2+1+1 maximally-twisted-mass Wilson fermions and using non-perturbatively calculated renormalization factors. Excited state effects are shown to be negligible for g_A whereas they lead to an O(10%) downward shift for _{u-d}.

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Simon Dinter, Constantia Alexandrou, Martha Constantinou, Vincent Drach, Karl Jansen, Dru B. Renner. 2011-08-04. Precision Study of Excited State Effects in Nucleon Matrix Elements. https://doi.org/10.1016/j.physletb.2011.09.002

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