Nucleon charges and quark momentum fraction with $N_f=2+1$ Wilson fermions

Abstract

We present a nucleon structure analysis including local isovector charges as well as twist-2 operator insertions. Computations are performed on CLS ensembles with $N_f=2+1$ Wilson fermions, covering four values of the lattice spacing and pion masses down to $M_{\pi }\approx 200\mathrm{MeV}$. Several source-sink separations (typically $\sim 1.0\mathrm{fm}$ to $\sim 1.5\mathrm{fm}$) allow us to assess excited-state contaminations. Results on each ensemble are obtained from simultaneous two-state fits including all observables and all available source-sink separations with the mass gap as a free fit parameter. Finally, the chiral, continuum and finite size extrapolation is performed to extract physical results.

Comments: 7 pages, 4 figures, 1 table. Talk presented at the 36th Annual International Symposium on Lattice Field Theory, 22-28 July 2018, Michigan State University, East Lansing, Michigan, USA