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Sum rules for $CP$ asymmetries of charmed baryon decays in the $SU(3)_F$ limit

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arxiv 1901.01776 v3 pith:EZ2YOJ5P submitted 2019-01-07 hep-ph

Di Wang This is my paper · ORCID
classification hep-ph
keywords violationbaryoncharmeddecaysruleslimitlhcbmethod
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Motivated by the recent LHCb observation of $CP$ violation in charm, we study $CP$ violation in the charmed baryon decays. A simple method to search for the $CP$ violation relations in the flavor $SU(3)$ limit, which is associated with a complete interchange of $d$ and $s$ quarks, is proposed. With this method, hundreds of $CP$ violation sum rules in the doubly and singly charmed baryon decays can be found. As examples, the $CP$ violation sum rules in two-body charmed baryon decays are presented. Some of the $CP$ violation sum rules could help the experiment to find better observables. As byproducts, the branching fraction of $\Xi^+_c\to pK^-\pi^+$ is predicted to be $(1.7\pm 0.5)\%$ in the $U$-spin limit and the fragmentation-fraction ratio is determined as $f_{\Xi_b}/f_{\Lambda_b}=0.065\pm 0.020$ using the LHCb data.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Flavor SU(3) analysis of the charmless semileptonic $B \to PV\ell^+\nu_\ell$ decays

    hep-ph 2025-07 conditional novelty 6.0 of 10

    The paper predicts branching ratios of charmless B to PV l nu decays mediated by axial-vector, tensor, and excited vector resonances using SU(3) flavor symmetry, finding several modes at 10^-4 to 10^-3.

  2. $CP$ asymmetries in the $\Lambda_c^+\to pK^0_S$ and $\Xi^+_c\to \Sigma^+K^0_S$ decays

    hep-ph 2025-09 conditional novelty 5.0 of 10

    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.

  3. Implications on CP violation of charmless three body decays of bottom baryon from the U-spin analysis

    hep-ph 2024-11 conditional novelty 5.0 of 10

    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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