Non-perturbative renormalization constants and light quark masses

TL;DR

This paper reports a comprehensive non-perturbative calculation of renormalization constants for quark operators using multiple methods, leading to precise determinations of strange and light quark masses after continuum extrapolation.

Contribution

It introduces a new non-perturbative renormalization technique based on short-distance lattice correlation functions and applies it to determine quark masses.

Findings

Quark masses: ms^msbar(2 GeV) = 106 ± 2 ± 8 MeV

Light quark mass: ml^msbar(2 GeV) = 4.4 ± 0.1 ± 0.4 MeV

Consistent results across different renormalization methods

Abstract

We present the results of an extensive non-perturbative calculation of the renormalization constants of bilinear quark operators for the non-perturbatively O(a)-improved Wilson action. The results are obtained at four values of the lattice coupling, by using the RI/MOM and the Ward identities methods. A new non-perturbative renormalization technique, which is based on the study of the lattice correlation functions at short distance in x-space, is also numerically investigated. We then use our non-perturbative determination of the quark mass renormalization constants to compute the values of the strange and the average up/down quark masses. After performing an extrapolation to the continuum limit, we obtain ms^msbar(2 GeV) = (106 +- 2 +- 8) MeV and ml^msbar(2 GeV)=(4.4 +- 0.1 +- 0.4) MeV.