Charmless decays B → PP, PV, and the 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 and CP-violating asymmetries of the two-body charmless hadronic decays B → PP, PV from the new strong and electroweak penguin diagrams in the topcolor-assisted technicolor (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 → ππ, ρπ, etc. the new physics corrections are less than 10%. For decays B → K~((*))π, K~((*))η, π~0η~((')), η~(('))η~((')), KK-bar~0, K-bar~(*0) K, etc. the new physics enhancements can be rather large (from -70% to ～200%) and are insensitive to the variations of N_c~(eff), k~2, η and m_(π-tilde) within reasonable ranges. For the decays B~0 → φπ, φη~((')), K~*K-bar~0 and ρ~+K~0, δB is strongly N_c~(eff) dependent: varying from -90% to ～1680% in the range of N_c~(eff) = 2-∞. The new physics corrections to the CP-violating asymmetries A_(CP) vary greatly for different B decay channels. For five measured CP asymmetries of the B → Kπ, Kη', ωπ decays, δA_(CP) is only about 20% and will be masked by large theoretical uncertainties. The new physics enhancements to interesting B → Kη' decays are significant in size (～50%), insensitive to the variations of the input parameters and hence lead to a plausible interpretation for the unexpectedly large B → Kη' decay rates. The TC2 model predictions for branching ratios and CP-violating asymmeteries of all fifty-seven B → PP, PV decay modes are consistent with the available data within one or two standard deviations.