MSSM anatomy of the polarization puzzle inB→ϕK*decays

Abstract

We analyze the $B\ensuremath{\rightarrow}\ensuremath{\phi}{K}^{*}$ polarization puzzle in the minimal supersymmetric standard model (MSSM) including the neutral Higgs boson (NHB) contributions. To calculate the nonfactorizable contributions to the hadronic matrix elements of operators, we have used the QCD factorization framework to the ${\ensuremath{\alpha}}_{s}$ order. It is shown that the recent experimental results of the polarization fractions in $B\ensuremath{\rightarrow}\ensuremath{\phi}{K}^{*}$ decays, which are difficult to be explained in SM, could be explained in MSSM if there are flavor nondiagonal squark mass matrix elements of 2nd and 3rd generations, which also satisfy all relevant constraints from known experiments ($B\ensuremath{\rightarrow}{X}_{s}\ensuremath{\gamma},{B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}},B\ensuremath{\rightarrow}{X}_{s}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}},B\ensuremath{\rightarrow}{X}_{s}g,\ensuremath{\Delta}{M}_{s}$, etc.). We have shown in detail that the experimental results can be accommodated with the flavor nondiagonal mass insertion of chirality RL, $\mathrm{RL}+\mathrm{LR}$, RR, or $\mathrm{LL}+\mathrm{RR}$ when the NHB contributions as well as $\mathcal{O}({\ensuremath{\alpha}}_{s})$ corrections of hadronic matrix elements of operators are included. However, the branching ratios for the decay are smaller than the experimental measurements.