Implications on CP violation of charmless three body decays of bottom baryon from the U-spin analysis
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| Format: | Preprint |
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2024
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| author | Wang, Wei Xing, Zhi-Peng Zhao, Zhen-Xing |
| author_facet | Wang, Wei Xing, Zhi-Peng Zhao, Zhen-Xing |
| contents | Motivated by recent LHCb measurements of CP violation in $Λ_b$ three-body decays, we conduct an analysis of CP asymmetry in three-body decays of bottom baryons utilizing U-spin symmetry. We first develop a convenient representation that facilitates the incorporation of U-spin symmetry into our analysis. By integrating weak and strong phases into the derived amplitude, we obtain the CP asymmetry and establish relationships between CP asymmetries in U-spin related decay channels. With the help of experimental measurements, we provide numerical predictions for the CP asymmetries for other decay channels, particularly $Λ_b \to Σ^0 K^+ K^-$, $Ξ^0_b \to Λπ^+ π^-$, $Λ_b \to Σ^0 K^+ π^-$, and $Ξ^0_b \to ΣK^- π^+$. Furthermore, we provide a quantity that can be used as a null test of standard model and deviations from 0 will reflect the possible new physics. These results are valuable for CPV measurements in baryon decays, and can be tested in future experiments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_18400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Implications on CP violation of charmless three body decays of bottom baryon from the U-spin analysis Wang, Wei Xing, Zhi-Peng Zhao, Zhen-Xing High Energy Physics - Phenomenology High Energy Physics - Experiment Motivated by recent LHCb measurements of CP violation in $Λ_b$ three-body decays, we conduct an analysis of CP asymmetry in three-body decays of bottom baryons utilizing U-spin symmetry. We first develop a convenient representation that facilitates the incorporation of U-spin symmetry into our analysis. By integrating weak and strong phases into the derived amplitude, we obtain the CP asymmetry and establish relationships between CP asymmetries in U-spin related decay channels. With the help of experimental measurements, we provide numerical predictions for the CP asymmetries for other decay channels, particularly $Λ_b \to Σ^0 K^+ K^-$, $Ξ^0_b \to Λπ^+ π^-$, $Λ_b \to Σ^0 K^+ π^-$, and $Ξ^0_b \to ΣK^- π^+$. Furthermore, we provide a quantity that can be used as a null test of standard model and deviations from 0 will reflect the possible new physics. These results are valuable for CPV measurements in baryon decays, and can be tested in future experiments. |
| title | Implications on CP violation of charmless three body decays of bottom baryon from the U-spin analysis |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2411.18400 |