The B\to D_s^{(*)}\eta^{(\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.

Comments: 12 pages, 1 figure. Typos removed, minor corrections