Charmless decays B -> PP, PV, and effects of new strong and electroweak penguins in Topcolor-assisted Technicolor model

Abstract

Based on the low energy effective Hamiltonian with generalized factorization, we calculate the new physics contributions to the branching ratios and CP-violating asymmetries of the two-body charmless hadronic decays $B\to PP,PV$ from the new strong and electroweak penguin diagrams in the TC2 model. The top-pion penguins dominate the new physics corrections, and both new gluonic and electroweak penguins contribute effectively to most decay modes. For tree-dominated decay modes $B\to \pi \pi ,\rho \pi ,etc,$ the new physics corrections are less than 10%. For decays $B\to K^{(\ast )}\pi$, $K^{(\ast )}\eta$, $etc$, the new physics enhancements can be rather large (from $-70$ to $\sim 200$) and are insensitive to the variations of $N_c^{eff}$, $k^2$, $\eta$ and $m_{\tilde{\pi }}$ within the reasonable ranges. For decays $B^0\to \varphi \pi$, $\varphi {\eta }^{{(}^{\prime })}$, $K^{\ast }{\bar{K}}^0$ and ${\rho }^{+}{K}^0$, $\delta \mathcal{B}$ is strongly $N_c^{eff}-$dependent: varying from -90% to $\sim 1680$ in the range of $N_c^{eff}=2-\infty$. The new physics corrections to the CP-violating asymmetries ${\mathcal{A}}_{CP}$ vary greatly for different B decay channels. For five measured CP asymmetries of $B\to K\pi ,K{\eta }^{\prime },\omega \pi$ decays, $\delta {\mathcal{A}}_{CP}$ is only about 20% and will be masked by large theoretical uncertainties. The new physics enhancements to interesting $B\to K{\eta }^{\prime }$ decays are significant in size ($\sim 50$), insensitive to the variations of input parameters and hence lead to a plausible interpretation for the unexpectedly large $B\to K{\eta }^{\prime }$ decay rates. The TC2 model predictions for branching ratios and CP-violating asymmteries of all fifty seven $B\to PP,PV$ decay modes are consistent with the available data within one or two standard deviations.

Comments: Latex file, 56 pages with 11 ps and eps figures. to be published in Eur.Phys.J. C