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Topological amplitudes of charmed baryon decays in the $SU(3)_F$ limit
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abstract
Charmed baryon decay plays an important role in studying the weak and strong interactions. Topological diagram is an intuitive tool for analyzing the dynamics of heavy hadron decays. In this work, we investigate the topological diagrams of charmed baryon antitriplet ($\mathcal{B}_{c\overline 3}$) decays into a light baryon octet ($\mathcal{B}_8$) and a light meson ($M$). The topological diagrams of the $\mathcal{B}_{c\overline 3}\to \mathcal{B}_8^S M$ modes (where $\mathcal{B}_8^S$ and $\mathcal{B}_8^A$ are the $q_1\leftrightarrow q_2$ symmetric and antisymmetric octets) and the diagrams with a quark loop are presented for the first time. The completeness of topologies is confirmed by permutation. The linear relations of topologies are obtained by deriving the relation between the topological amplitudes constructed by the third- and second-rank octet tensors. The equations of $SU(3)$ irreducible amplitudes decomposed by topologies are derived through two different intermediate amplitudes. However, the inverse solution does not exist since the number of topologies exceeds number of $SU(3)$ irreducible amplitudes. Applying this framework to the Standard Model, it is found there are thirteen independent $SU(3)$ irreducible amplitudes contributing to the $\mathcal{B}_{c\overline 3}\to \mathcal{B}_8 M$ decays. Among these, four amplitudes associated with three-dimensional operators are significant for $CP$ asymmetries. Considering the suppressions due to small Cabibbo-Kobayashi-Maskawa matrix elements $V_{cb}^*V_{ub}$ and the K\"orner-Pati-Woo theorem, the branching fractions of charmed baryon decays are dominated by five $SU(3)$ irreducible amplitudes in the $SU(3)_F$ limit.
Forward citations
Cited by 6 Pith papers
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Topological diagrams of $\Omega^0_c$ decays in the $SU(3)_F$ limit
A complete topological-diagram decomposition for Omega_c^0 weak decays in the SU(3)_F limit is presented, with linear relations to SU(3) irreducible amplitudes and testable isospin and Korner-Pati-Woo sum rules.
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From topological amplitudes to rescattering dynamics in charmed baryon decays
The authors build a bridge between topological and rescattering amplitudes for charmed baryon decays and claim the Koerner-Pati-Woo theorem fails, suggesting a measurement of Lambda_c^+ -> Sigma^+ K_S^0.
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CP Violation in Hadronic Weak Decays of Charmed Baryons in the Topological Diagrammatic Approach
Per-mille-level CP asymmetries are predicted for Λc+→pπ0, Λc+→pη′, Ξc0→Σ0η and Ξc+→Σ+η from long-distance penguin rescattering in the topological diagram approach.
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$CP$ asymmetries in the $\Lambda_c^+\to pK^0_S$ and $\Xi^+_c\to \Sigma^+K^0_S$ decays
The Xi_c+ to Sigma+ K0_S decay can show an interference-induced CP asymmetry up to about 10^-3, several times larger than in D meson decays.
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The Cabibbo-favored hadronic weak decays of the $\Xi_c$ in the quark model
Using direct meson emission, color suppressed, and pole terms in a quark model, the authors reproduce most measured Xi_c decay branching ratios and predict asymmetry parameters, while failing one measured asymmetry sign.
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Implications on CP violation of charmless three body decays of bottom baryon from the U-spin analysis
U-spin symmetry converts recent LHCb CP-violation measurements in Lambda_b charmless three-body decays into CP-asymmetry predictions for Xi_b^0 and Sigma^0 channels, plus a null test for the Standard Model.
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