$B \to π^+ π^-, K π, K \etap$ decays and new physics effects in the general two-Higgs-doublet model: an update

Abstract

In this paper, we reexamine the new physics contributions to seven well measured $B \to PP$ decays in the standard model (SM) and the general two-Higgs-doublet model (model III) and compare the theoretical predictions with the new data. Within the considered parameter space we found that: (a) the measurements of the branching ratios for $B\to π^+ π^-, K^- π^+$ and $K^0 π^+$ lead to a strong constraint on the form factor $F_0^{Bπ}(0)$: $F_0^{Bπ}(0)=0.24 \pm 0.03$; (b) the new physics enhancements to the penguin-dominated $B \to K π$ and $K \etap$ decays are significant in size, $\sim (40-65)%$ $w.r.t$ the SM predictions, and play an important role in restoring the consistency between the data and the theory.