Eur. Phys. J. C (2003) 31: 227-238
https://doi.org/10.1140/epjc/s2003-01321-3

theoretical physics

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

¹ Westfälische Wilhelms-Universität Münster, Institut für Theoretische Physik, Wilhelm-Klemm-Strasse 9, 48149, Münster, Germany
² Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22603, Hamburg, Germany

Abstract

The dependence of the pseudo-scalar 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 16⁴ lattice. ${\cal O}(a)$ 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.