Topological diagrams of doubly charmed baryon decays in the $SU(3)_F$ limit
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911280882778112 |
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| author | Liu, Si-Hong Lai, Ying-Xin Wang, Di |
| author_facet | Liu, Si-Hong Lai, Ying-Xin Wang, Di |
| contents | The doubly charmed baryon was first observed by LHCb via the non-leptonic decay $Ξ_{cc}^{++}\to Λ^+_cK^-π^+π^+$ in 2017. Subsequently, ongoing efforts have been made to identify other doubly charmed baryons. However, there is no systematic analysis of the topological decomposition for non-leptonic decays of doubly charmed baryons. In this work, we study the topological amplitudes of doubly charmed baryon decays in the $SU(3)_F$ limit. Tree- and penguin-induced topological diagrams for the $\mathcal{B}_{cc}\to \mathcal{B}_c M$ and $\mathcal{B}_{cc}\to \mathcal{B} D$ decays are presented. The linear relations between the topological amplitudes and the $SU(3)$ irreducible amplitudes are derived through tensor contraction and $SU(3)$ decomposition. The magnitude pattern of the topological diagrams is analyzed in the rescattering dynamics and the large $N_c$ expansion. In addition, some amplitude relations are derived to test the Körner-Pati-Woo theorem in the isospin limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18068 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological diagrams of doubly charmed baryon decays in the $SU(3)_F$ limit Liu, Si-Hong Lai, Ying-Xin Wang, Di High Energy Physics - Phenomenology The doubly charmed baryon was first observed by LHCb via the non-leptonic decay $Ξ_{cc}^{++}\to Λ^+_cK^-π^+π^+$ in 2017. Subsequently, ongoing efforts have been made to identify other doubly charmed baryons. However, there is no systematic analysis of the topological decomposition for non-leptonic decays of doubly charmed baryons. In this work, we study the topological amplitudes of doubly charmed baryon decays in the $SU(3)_F$ limit. Tree- and penguin-induced topological diagrams for the $\mathcal{B}_{cc}\to \mathcal{B}_c M$ and $\mathcal{B}_{cc}\to \mathcal{B} D$ decays are presented. The linear relations between the topological amplitudes and the $SU(3)$ irreducible amplitudes are derived through tensor contraction and $SU(3)$ decomposition. The magnitude pattern of the topological diagrams is analyzed in the rescattering dynamics and the large $N_c$ expansion. In addition, some amplitude relations are derived to test the Körner-Pati-Woo theorem in the isospin limit. |
| title | Topological diagrams of doubly charmed baryon decays in the $SU(3)_F$ limit |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2511.18068 |