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

TL;DR

This paper introduces an analytic method to extract hadronic and new physics parameters in $B o K o ext{pi}$ decays, revealing two solutions with significant new physics contributions and phases.

Contribution

It provides a systematic analytic approach to disentangle standard model-like and new physics parameters in $B o K o ext{pi}$ decays, with current experimental data.

Findings

Two analytically equivalent solutions identified.

Large new physics amplitude with significant weak phase.

Quantitative estimates of NP-to-SM ratio and phases.

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.