Quark mass dependence of pseudoscalar masses and decay constants on a lattice

Our previous calculations of the sea- and valence-quark mass dependence of the pseudoscalar meson masses and decay constants is repeated on a 163 . 32 lattice which allows for a better determination of the quantities in question. The conclusions are similar as before on the 164 lattice [1]. The two light dynamical quark flavours we simulate have masses in the range 1/4 ms < mu,d < 2/3 ms. The sea quark mass dependence of fπ and m2π/mq is well described by the next-to-leading order (NLO) Chiral Perturbation Theory (ChPT) formulas and clearly shows the presence of chiral logarithms. The valence quark mass dependence requires the presence of NNLO contributions in partially quenched ChPT (PQChPT) - in addition to the NLO terms. The O(a) lattice artifacts in these quantities turn out to be small. (orig.)