The nucleon axial, tensor and scalar charges and $\sigma$-terms in lattice QCD.

2019 
We present results on the nucleon axial, scalar and tensor charges computed within lattice Quantum Chromodynamics. We use three ensembles of gauge configurations generated with physical values of the pion mass to compute these quantities to high accuracy avoiding the need of uncontrolled chiral extrapolations. We determine the values for the axial, scalar and tensor charges for each quark flavor. We include all contributions from valence and sea quarks by using improved methods to compute the disconnected quark loops. For the nucleon axial charge we find $g_A= 1.286(23)$ in agreement with the experimental value. In addition, we extract the nucleon $\sigma$-terms and find $\sigma_{\pi N}=41.6(3.8)$ MeV as well as the strangeness content of the nucleon obtaining for the y-parameter $y =0.0740(59)$.
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