Quark mass dependence of pseudoscalar masses and decay constants

Abstract

The dependence of pseudo-scalar masses and decay constants on the sea and valence quark masses is investigated in the pseudo-Goldstone boson sector of QCD with two light quark flavours. The sea quark masses are at present in the range $1/3m_s\le m_{ud}\le 2/3m_s$ whereas the valence quark masses satisfy $1/2m_{sea}\le m_{val}\le 2m_{sea}$. The values of the Gasser-Leutwyler low energy constants $L_4$, $L_5$, $L_6$ and $L_8$ are estimated. The computation is done with the Wilson-quark lattice action at gauge coupling $\beta =5.1$ on $16^4$ lattices. $\mathcal{O}(a)$ effects are taken into account by applying chiral perturbation theory for the Wilson lattice action as proposed by Rupak and Shoresh.

Comments: 3 pages. Lattice2003(Spectrum)