Decay constants of P-wave heavy-light mesons from unquenched lattice QCD

Abstract

We review some decays that require knowledge of the decay constants of $0^{+}$ heavy-light mesons. We compute the decay constants of P-wave heavy-light mesons from unquenched lattice QCD, with two degenerate flavours of sea quarks, at a single lattice spacing. The lightest sea quark mass used in the calculation is a third of the strange quark mass. For the charm-strange meson we obtain the decay constant: $f_{D_{s{0}^{+}}}=340(110)$ MeV using our normalisation conventions. We obtain the $f_{P_s}^{static}$ (static-strange P-wave) decay constant as $302(39)$ MeV.

Comments: We have included a effective mass plot and a graph for the chiral extrapolation in the light quark mass. Some of the discussions are clarified. No change in results. Accepted for publication in Phys.Rev.D