Topological amplitudes of bottom baryon decays in the $SU(3)_F$ limit
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911161334628352 |
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| author | Wang, Di Fu, Wei-Chen |
| author_facet | Wang, Di Fu, Wei-Chen |
| contents | Motivated by the first observation of CP violation in baryon decays, we study the topological amplitudes of bottom baryon decays in the $SU(3)_F$ limit. The topological diagrams of the charmless two-body decays of bottom baryons are presented in detail. The linear relations between topologies and $SU(3)$ irreducible amplitudes are derived through tensor contraction and $SU(3)$ decomposition. Four amplitudes among the 13 independent amplitudes are critical to the CP asymmetries. The small CP asymmetries might indicate small relative strong phases between amplitudes $A_2$ and $A_{12,14}^\prime$. To avoid them, we suggest measuring CP asymmetries in the $Ξ^0_b\to pK^-$ and $Ξ^-_b\to Λ^0 K^-$ decays. Furthermore, the Körner-Pati-Woo theorem can be tested by measuring the branching fractions of the $Λ_b^0\toΣ^0K^0_S$ and $Λ_b^0\toΣ^-K^+$ modes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22170 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological amplitudes of bottom baryon decays in the $SU(3)_F$ limit Wang, Di Fu, Wei-Chen High Energy Physics - Phenomenology Motivated by the first observation of CP violation in baryon decays, we study the topological amplitudes of bottom baryon decays in the $SU(3)_F$ limit. The topological diagrams of the charmless two-body decays of bottom baryons are presented in detail. The linear relations between topologies and $SU(3)$ irreducible amplitudes are derived through tensor contraction and $SU(3)$ decomposition. Four amplitudes among the 13 independent amplitudes are critical to the CP asymmetries. The small CP asymmetries might indicate small relative strong phases between amplitudes $A_2$ and $A_{12,14}^\prime$. To avoid them, we suggest measuring CP asymmetries in the $Ξ^0_b\to pK^-$ and $Ξ^-_b\to Λ^0 K^-$ decays. Furthermore, the Körner-Pati-Woo theorem can be tested by measuring the branching fractions of the $Λ_b^0\toΣ^0K^0_S$ and $Λ_b^0\toΣ^-K^+$ modes. |
| title | Topological amplitudes of bottom baryon decays in the $SU(3)_F$ limit |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.22170 |