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, <x>_{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 <x>_{u-d}.
@article{arxiv.1108.1076,
title = {Precision Study of Excited State Effects in Nucleon Matrix Elements},
author = {Simon Dinter and Constantia Alexandrou and Martha Constantinou and Vincent Drach and Karl Jansen and Dru B. Renner},
journal= {arXiv preprint arXiv:1108.1076},
year = {2015}
}