Quark mass dependence of masses and decay constants of the pseudo-Goldstone bosons in QCD

TL;DR

This study investigates how quark masses influence pseudoscalar meson properties in QCD, comparing lattice simulation results with NLO Chiral Perturbation Theory to estimate low-energy constants.

Contribution

It provides a detailed lattice QCD analysis of meson masses and decay constants, incorporating Wilson lattice artifacts and estimating Gasser-Leutwyler constants.

Findings

Agreement with NLO ChPT predictions

Estimates of Gasser-Leutwyler constants L_4, L_5, L_6, L_8

Quantitative understanding of quark mass dependence

Abstract

The dependence of the pseudoscalar meson masses and decay constants on sea and valence quark masses is compared to next-to-leading order (NLO) Chiral Perturbation Theory (ChPT). The numerical simulations with two light dynamical quark flavors are performed with the Wilson-quark lattice action at gauge coupling beta=5.1 and hopping parameters kappa=0.176, 0.1765, 0.177 on a 16^4 lattice. O(a) lattice artifacts are taken into account by applying chiral perturbation theory for the Wilson lattice action. The values of the relevant combinations of Gasser-Leutwyler constants L_4, L_5, L_6 and L_8 are estimated.