Charmless hadronic decays $B\to PP,PV,VV$ and new physics effects in the general two-Higgs doublet models

Abstract

Based on the low-energy effective Hamiltonian with the generalized factorization, we calculate the new physics contributions to the branching ratios of the two-body charmless hadronic decays of $B_u$ and $B_d$ mesons induced by the new gluonic and electroweak charged-Higgs penguin diagrams in the general two-Higgs doublet models (models I, II and III). Within the considered parameter space, we find that: (a) the new physics effects from new gluonic penguin diagrams strongly dominate over those from the new $\gamma$- and $Z^0$- penguin diagrams; (b) in models I and II, new physics contributions to most studied B meson decay channels are rather small in size: from -15% to 20%; (c) in model III, however, the new physics enhancements to the penguin-dominated decay modes can be significant, $\sim (30-200)$, and therefore are measurable in forthcoming high precision B experiments; (d) the new physics enhancements to ratios ${\cal B}(B \to K \etap)$ are significant in model III, $\sim (35-70)$, and hence provide a simple and plausible new physics interpretation for the observed unexpectedly large $B \to K \etap $ decay rates; (e) the theoretical predictions for $\mathcal{B}(B\to K^{+}\pi )$ and $\mathcal{B}(B\to K^0{\pi }^{+})$ in model III are still consistent with the data within $2\sigma$ errors; (f) the significant new physics enhancements to the branching ratios of $B\to K^0{\pi }^0,K^{\ast }\eta ,K^{\ast +}{\pi }^{-},K^{+}\varphi ,K^{\ast 0}\omega ,K^{\ast +}\varphi$ and $K^{\ast 0}\varphi$ decays are helpful to improve the agreement between the data and the theoretical predictions; (g) the theoretical predictions of $\mathcal{B}(B\to PP,PV,VV)$ in the 2HDM's are generally consistent with experimental measurements and upper limits ($90$)

55 pages, Latex file, 17 PS and EPS figures. With minor corrections, final version to be published in Phys.Rev. D. Repot-no: PKU-TH-2000-45

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