Pseudoscalar and Scalar Operators of Higgs-Penguins in the MSSM and B to phi K^*, K eta(') Decays

We study the effect of b to s sbar s scalar/pseudoscalar operators in B to K eta('), phi K^* decays. In the minimal supersymmetric standard model (MSSM), such scalar/pseudoscalar operators can be induced by the penguin diagrams of neutral Higgs bosons. These operators can be Fierz-transformed into tensor operators, and the resultant tensor operators could affect the transverse polarization amplitudes in B to phi K^* decays. A combined analysis of the decays B to phi K^* and B to K eta('), including b to s sbar s scalar/pseudoscalar operators and their Fierz-transformed tensor operators originated from the MSSM, is performed. Our study is based on the followings: (1) Assuming that weak annihilations in B to phi K^* is negligible and the polarization puzzle is resolved by Fierz-transformed tensor operators, it results in too large coefficients of scalar/pseudoscalar operators, such that the resulting B to K eta(') branching fractions are much larger than observations. (2) When we take the weak annihilations in B to phi K^* into account, the polarization puzzle can be resolved. In this case, new physics effects are strongly suppressed and no more relevant to the enhancement of the transverse modes in B to phi K^* decays.