Decay Constants $f_{D_s^*}$ and $f_{D_s}$ from ${\bar{B}}^0\to D^+ l^- {\bar{\nu}}$ and ${\bar{B}}^0\to D^+ D_s^{-(*)}$ Decays

Abstract

We calculate the decay constant of $D_s$ and $D_s^{*}$ with $\bar{B}^0 \ra D^{+}\ell^{-}\nu$ and $\bar{B}^0 \ra D^{+}D_s^{-(*)}$ decays. In our analysis we assume that factorization ansatz works and used two different form factor behaviours (constant and monopole-type) for $F_0(q^2)$. We also consider the QCD-penguin contributions in hadronic decays within the NDR renormalization scheme at NLO calculation. We estimate the decay constant of the $D_s$ meson to be $219\pm46 MeV$ for (pole/pole)-type form factor and $239\pm50$ $MeV$ for (pole/constant)-type form factor. For $D_s^{*}$ meson, we predict $f_{D_s^{*}} = 336 \pm 79 MeV$, and $f_{D_s^{*}}/f_{D_s} = 1.41 \pm 0.41$ for (pole/constant)-type form factor.