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 ${\overline{K}}^{*}_{0}(700)$

Jian-Yu Yang; Yu-Jie Zhao; Jing-Juan Qi; Zhen-Hua Zhang

doi:10.1088/1674-1137/ae39cc

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arXiv · 2410.08539

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 ${\overline{K}}^{}_{0}(700)$

Jian-Yu Yang·Yu-Jie Zhao·Jing-Juan Qi·Zhen-Hua Zhang

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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.

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Jian-Yu Yang, Yu-Jie Zhao, Jing-Juan Qi, Zhen-Hua Zhang. 2024-10-11. 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 ${\overline{K}}^{*}_{0}(700)$. https://doi.org/10.1088/1674-1137%2Fae39cc

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