The forward-backward asymmetry induced $CP$ asymmetry in ${\overline{B}}^0\to K^{-}{\pi }^{+}{\pi }^0$ in phase space around the resonances ${\overline{K}}^{\ast }(892{)}^0$ and ${\overline{K}}_0^{\ast }(700)$

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 ${\overline{B}}^0\to K^{-}{\pi }^{+}{\pi }^0$ in phase space region where the intermediate resonances ${\overline{K}}^{\ast }(892{)}^0$ and ${\overline{K}}_0^{\ast }(700)$ 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 ${\overline{K}}^{\ast }(892{)}^0$ can be as large as about 35\%, which can be potentially accessible by Belle and Belle-II collaborations in the near future.

Comments: Version accepted by Chinese Physics C, 10 pages, 5 figures, fugures updated