The forward-backward asymmetry induced $CP$ asymmetry in ${\overline{B}}^{0}\rightarrow K^{-}\pi^{+}\pi^{0}$ in phase space around the resonances ${\overline{K}}^{*}(892)^{0}$ and ${\overline{K}}^{*}_{0}(700)$

TL;DR

This paper investigates CP asymmetries in the decay ${ar{B}}^{0} ightarrow K^{-}\pi^{+}\pi^{0}$, focusing on interference effects between resonances $ar{K}^*(892)^0$ and $ar{K}_0^*(700)$, predicting potentially observable asymmetries.

Contribution

It introduces a detailed analysis of forward-backward and CP asymmetries induced by resonance interference in a specific B meson decay, highlighting the potential for experimental observation.

Findings

FB-CPA around $ar{K}^*(892)^0$ can reach about 35%

Interference between resonances significantly affects CP asymmetries

Potential for detection at Belle and Belle-II

Abstract

The interference between amplitudes corresponding to different intermediate resonances plays an important role in generating large CP asymmetries in phase space in multi-body decays of bottom and charmed mesons. In this paper, we study the CP violation in the decay channel ${\overline{B}}^{0}\rightarrow K^{-}\pi^{+}\pi^{0}$ in phase space region where the intermediate resonances $\overline{K}^{*}(892)^{0}$ and ${\overline{K}^{*}_{0}(700)}$ dominate. The Forward-Backward Asymmetry (FBA) and the CP asymmetry induced by FBA (FB-CPA), which are closely related to the interference effects between the two aforementioned resonances, are especially investigated. The non-trivial correlation between FBA and FB-CPA is analyzed. The analysis indicates that the FB-CPAs around the resonance $\overline{K}^{*}(892)^{0}$ can be as large as about 35\%, which can be potentially accessible by Belle and Belle-II collaborations in the near future.