CP Asymmetries of $B\to \varphi K$ and $B\to {\eta }^{(\prime )}K$ Decays Using a Global Fit in QCD Factorization

Abstract

We analyze the CP asymmetries of $B\to \varphi K$ and $B\to {\eta }^{(\prime )}K$ modes in the QCD improved factorization framework. For our calculation we use the phenomenological parameters predetermined from the global fit for the available $B\to PP$ and $VP$ modes (without the quark-level subprocess $b\to s\bar{s}s$). We show that the large negative $\sin (2{\varphi }_1{)}_{\varphi K_s}$ and the large branching ratio for $B^{\pm }\to {\eta }^{\prime }{K}^{\pm }$ can be simultaneously explained in the context of supersymmetry (SUSY). The R-parity conserving SUGRA models are used and their parameter space is constrained with the observed dark matter relic density along with other experimental constraints. The R-parity violating SUSY models are also used to show that they can provide solutions. We calculate the CP asymmetries for different $B^{\pm (0)}\to \varphi K^{\pm (0)}$ and $B^{\pm (0)}\to {\eta }^{{(}^{\prime })}{K}^{\pm (0)}$ modes and show that the SUSY model predictions are consistent with the available experimental data.

Comments: 13 pages, No figure; Some references added