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

摘要

Based on the low energy effective Hamiltonian with generalized factorization,we calculate the new physics contributions to the branching ratios andCP-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. Thetop-pion penguins dominate the new physics corrections, and both new gluonicand electroweak penguins contribute effectively to most decay modes. Fortree-dominated decay modes $B \to \pi \pi, \rho \pi, etc,$ the new physicscorrections are less than 10%. For decays $B \to K^{(*)} \pi$, $K^{(*)} \eta$,$etc$, the new physics enhancements can be rather large (from $- 70%$ to $\sim200%$) and are insensitive to the variations of $N_c^{eff}$, $k^2$, $\eta$ and$m_{\tilde{\pi}}$ within the reasonable ranges. For decays $B^0 \to \phi \pi$,$\phi \eta^{(')}$, $K^* \bar{K}^0$ and $\rho^+ K^0$, $\delta {\cal B}$ isstrongly $N_c^{eff}-$dependent: varying from -90% to $\sim 1680%$ in the rangeof $N_c^{eff}=2-\infty$. The new physics corrections to the CP-violatingasymmetries ${\cal A}_{CP}$ vary greatly for different B decay channels. Forfive measured CP asymmetries of $B \to K \pi, K \eta', \omega \pi$ decays,$\delta {\cal A}_{CP}$ is only about 20% and will be masked by largetheoretical uncertainties. The new physics enhancements to interesting $B \to K\eta'$ decays are significant in size ($\sim 50%$), insensitive to thevariations of input parameters and hence lead to a plausible interpretation forthe unexpectedly large $B \to K \eta'$ decay rates. The TC2 model predictionsfor 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 twostandard deviations.