$\etap K$ 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 \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 $B\to K \etap$ 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 ${\cal B}(B \to K^+ \etap)$ and ${\cal B}(B \to K^0 \etap)$ to be consistent with the data within one standard deviation, and hence lead to a simple and plausible new physics interpretation for the $\etap K$ puzzle.