Non-perturbatively Renormalized Light Quark Masses with Two Dynamical Fermions

TL;DR

This study calculates light quark masses using non-perturbative renormalization in lattice QCD with two dynamical flavors, finding results consistent with quenched approximations and highlighting minimal sea quark effects at the studied masses.

Contribution

First non-perturbative renormalization of light quark masses in two-flavor dynamical lattice QCD with a detailed comparison to quenched results.

Findings

Quark masses are larger than perturbative estimates.

Sea quark effects are not significant at the studied masses.

Results align with quenched simulation outcomes.

Abstract

We present the results of a partially quenched lattice QCD calculation of light quark masses with $N_f=2$ degenerate dynamical flavors. Numerical simulations are carried out using the plaquette gauge action and the Wilson quark action at $\beta = 5.8$ ($a^{-1} \simeq 3.2\gev$). The spatial extension of the $24^3 \times 48$ lattice is about 1.5 fm. Configurations have been generated at four values of the sea quark masses, for which the ratio of pseudoscalar over vector meson masses is in the range $M_P/M_V \simeq 0.60 \div 0.75$. An important feature of the present study is the use of non-perturbative renormalization, performed with the $\ri$ method. The effects of dynamical sea quarks in the determination of light quark masses have been investigated by performing a quenched calculation on a similar lattice. Our results for the average up-down and strange quark masses are $m_{ud}^{MS} (2\gev) = 4.3(4) (^{+1.1}_{-0.4})\mev$ and $m_s^{MS}(2\gev)=101(8)(^{+25}_{-9}) \mev$. These values are larger than those obtained by evaluating the quark mass renormalization constants with one-loop (boosted) perturbation theory. Our results for the light quark masses are compatible with those obtained in the quenched simulation. No significant sea quark effects are seen, at the values of sea quark masses used in the present study.