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

Abstract

We analyze the CP asymmetries of $B\to \phi K$ 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 $\sin (2\phi_1)_{\phi K_s}$ and the large branching ratio for $B^{\pm}\to \eta' K^{\pm}$ 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 $B^{\pm (0)} \to \phi K^{\pm (0)}$ and $B^{\pm (0)} \to \eta^{(')} K^{\pm (0)}$ modes and show that the SUSY model predictions are consistent with the available experimental data.