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

TL;DR

This paper computes decay constants of P-wave heavy-light mesons using unquenched lattice QCD, providing new numerical results relevant for understanding meson decays involving heavy quarks.

Contribution

It presents the first unquenched lattice QCD calculation of P-wave heavy-light meson decay constants with two sea quark flavors at a single lattice spacing.

Findings

Decay constant for charm-strange P-wave meson: 340(110) MeV

Static-strange P-wave decay constant: 302(39) MeV

Calculation performed with lightest sea quark mass at one-third of strange quark mass

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.