Nucleon average quark momentum fraction with $N_\mathrm{f}=2+1$ Wilson fermions

Georg von Hippel; Hartmut Wittig; Harvey Meyer; Jonas Wilhelm; Konstantin Ottnad; Tim Harris

Nucleon average quark momentum fraction with $N_\mathrm{f}=2+1$ Wilson fermions

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arxiv 1710.07816 v1 pith:FKBXAEEU submitted 2017-10-21 hep-lat

Konstantin Ottnad , Tim Harris , Harvey Meyer , Georg von Hippel , Jonas Wilhelm , Hartmut Wittig This is my paper · ORCID

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keywords mathrmnucleonaveragecontaminationexcited-statefermionsfractionmomentum

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abstract

We report on an analysis of the average quark momentum fraction of the nucleon and related quantities using $N_\mathrm{f}=2+1$ Wilson fermions. Computations are performed on four CLS ensembles covering three values of the lattice spacing at pion masses down to $M_\pi \approx 200\,\mathrm{MeV}$. Several source-sink separations ($\sim 1.0\,\mathrm{fm}$ to $\sim 1.4\,\mathrm{fm}$) are used to assess the excited-state contamination. To gain further insight, the generalized pencil-of-functions approach has been implemented to reduce the excited-state contamination in the relevant two- and three-point functions. Preliminary results are shown for the isovector nucleon charges from vector, axial vector and tensor derivative (twist-2) operators.

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