Charmless hadronic decays $B\to VV$ in the Topcolor-assisted Technicolor model

Abstract

Based on the effective Hamiltonian with the generalized factorization approach, we calculate the branching ratios and CP asymmetries of $B\to VV$ decays in the Topcolor-assisted Technicolor (TC2) model. Within the considered parameter space we find that: (a) for the penguin-dominated $B\to K^{\ast +}\varphi$ and $K^{\ast 0}\varphi$ decays, the new physics enhancements to the branching ratios are around 40%; (b) the measured branching ratios of $B\to K^{\ast +}\varphi$ and $K^{\ast 0}\varphi$ decays prefer the range of $3\lesssim \text{nceff}\lesssim 5$; (c) the SM and TC2 model predictions for the branching ratio $\mathcal{B}(B^{+}\to {\rho }^{+}{\rho }^0)$ are only about half of the Belle's measurement; and (d) for most $B\to VV$ decays, the new physics corrections on their CP asymmetries are generally small or moderate in magnitude and insensitive to the variation of $\text{mpcc}$ and $\text{nceff}$.

Comments: 16 pages, Revtex, 4 EPS figures