$\text{etap}K$ puzzle of B meson decays and new physics effects in the general two-Higgs-doublet model

Abstract

we calculate the new physics contributions to seven measured decays $B\to {\pi }^{+}{\pi }^{-},K\pi$ and $K\text{etap}$ in the general two-Higgs-doublet model (Model III). Within the considered parameter space, we find that: (a) the CLEO/BaBar measurement of $B\to {\pi }^{+}{\pi }^{-}$ decay prefers a small $F_0^{B\pi }(0)$: $F_0^{B\pi }(0)=0.25\pm 0.03$; (b) the new physics enhancements to the penguin-dominated $B\to K\pi$ and $B\to K\text{etap}$ decays are significant in size, $\sim (40-70)$ $w.r.t$ the standard model predictions; and (c) the new physics enhancements can boost the branching ratios $\mathcal{B}(B\to K^{+}\text{etap})$ and $\mathcal{B}(B\to K^0\text{etap})$ to be consistent with the data within one standard deviation, and hence lead to a simple and plausible new physics interpretation for the $\text{etap}K$ puzzle.

Comments: 19 pages, Latex file, 6 EPS figures. Small corrections