Analytic Resolution of Puzzle in $B\to K \pi$ decays

Abstract

We present a systematic method to extract each standard model (SM)-{\it like} hadronic parameter as well as new physics parameters in analytic way for $B\to K\pi$ decays. Using the analytic method to the currently available experimental data, we find two possible solutions analytically equivalent: one showing the large SM-{\it like} color-suppressed tree contribution and the other showing the large SM-{\it like} EWP contribution. The magnitude of the NP amplitude and its weak phase are quite large. For instance, we find $|P^{NP}/P| = 0.39\pm0.13$, $\phi^{NP}=91^\circ\pm15^\circ$ and $\delta^{NP}=8^\circ\pm27^\circ$, which are the ratio of the NP-to-SM contribution, the weak and the relative strong phase of the NP amplitude, respectively.