The B\to D_s^{(*)}η^{(\prime)} decays in the perturbative QCD

Abstract

In this paper, we calculate the branching ratios for $B^{+}\to D_s^{+}\eta ,B^{+}\to D_s^{+}{\eta }^{\prime }$, $B^{+}\to D_s^{\ast +}\eta$ and $B^{+}\to D_s^{\ast +}{\eta }^{\prime }$ decays by employing the perturbative QCD (pQCD) factorization approach. Under the two kinds of $\eta -{\eta }^{\prime }$ mixing schemes, the quark-flavor mixing scheme and the singlet-octet mixing scheme, we find that the calculated branching ratios are consistent with the currently available experimental upper limits. We also considered the so called "$f_{D_s}$ puzzle", by using two groups of parameters about the $D_s^{(\ast )}$ meson decay constants, that is $f_{D_s}=241$ MeV, $f_{D_s^{\ast }}=272$ MeV and $f_{D_s}=274$ MeV, $f_{D_s^{\ast }}=312$ MeV, to calculate the branching ratios for the considered decays. We find that the results change $30\%$ by using these two different groups of paramters.

12 pages, 1 figure. Typos removed, minor corrections

References in corpus (5)

• The $B(B_s)\to D_{(s)}P$, $D_{(s)}V$, $D_{(s)}^{\ast }P$ and $D_{(s)}^{\ast }V$ decays in the perturbative QCD approach
• The transition form factors for semi-leptonic weak decays of $J/\psi$ in QCD sum rules
• Branching ratios and CP asymmetries of $B\to K{\eta }^{(\prime )}$ decays in the pQCD approach
• Measurement of the Pseudoscalar Decay Constant fDs Using Charm-Tagged Events in e+e- Collisions at \sqrt{s}=10.58GeV
• Interpretation of the "$f_{D_s}$ puzzle" in SM and beyond

Cited by in corpus (1)

• The double charm decays of B Mesons in the mSUGRA model