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Non-Perturbative Renormalization of Nucleon Charges with Automated Perturbative Subtraction

M.T. Hansen, T. Harris, G. von Hippel, P. Junnarkar, H. Wittig, L. Wrang

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf


We report on the determination of the renormalization factors of quark bilinears which are required among others in order to determine the nucleon scalar and tensor charges from the CLS $N_{\rm f}=2$ configurations. Working in the RI'-MOM scheme, we eliminate all lattice artifacts at one-loop order using a combination of analytical results near the continuum limit and numerical calculations in automated lattice perturbation theory. The latter will allow for a ready generalization to the renormalization factors required for the average momentum fraction and other operators beyond local bilinears.