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

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 ${\Xi }_c^{+}\to p{K}^{-}{\pi }^{+}$ 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.

22 pages, published version

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Cited by in corpus (27)

• Production of $P_{cs}(4459)$ from ${\Xi }_b$ decay
• Measurements of the branching fractions of the semileptonic decays ${\Xi }_c^0\to {\Xi }^{-}{\ell }^{+}{\nu }_{\ell }$ and the asymmetry parameter of ${\Xi }_c^0\to {\Xi }^{-}{\pi }^{+}$
• Rescattering mechanism of weak decays of double-charm baryons
• Charmed baryon decays in $SU(3{)}_F$ symmetry
• Direct CP violation in beauty and charm hadron decays
• Final-state rescattering mechanism of charmed baryon decays
• Search for $CP$ violation in ${\Xi }_c^{+}\to p{K}^{-}{\pi }^{+}$ decays using model-independent techniques
• Equivalent $SU(3{)}_f$ approaches for two-body anti-triplet charmed baryon decays
• SU(3)${}_F$ Analysis for Beauty Baryon Decays
• Non-leptonic beauty baryon decays and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• A self-consistent framework of topological amplitude and its $SU(N)$ decomposition
• Weak Radiative Decays of Anti-triplet Bottomed Baryons in Light-Front Quark Model
• Charmonium decays of beauty baryons in the perturbative QCD approach
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Generation of $SU(3)$ sum rule for charmed baryon decay
• Topological amplitudes of charmed baryon decays in the $SU(3{)}_F$ limit
• Four-body Semileptonic Charm Decays $D\to P_1{P}_2{\ell }^{+}{\nu }_{\ell }$ Based on SU(3) Flavor Analysis
• Topological $SU(3{)}_f$ approach for two-body ${\Omega }_c$ weak decays
• Generation of isospin sum rules in heavy hadron weak decays
• Isospin sum rules in charmed baryon weak decays
• $U$-spin conjugate $CP$ violation relations in bottom baryon decays
• Study of the axial-vector and tensor resonant contributions to the $D\to VP{\ell }^{+}{\nu }_{\ell }$ decays based on SU(3) flavor analysis
• Implications of recent LHCb data on CPV in b-baryon four body decays
• Large CP violation in charmed baryon decays
• Flavor SU(3) analysis of the charmless semileptonic $B\to PV{\ell }^{+}{\nu }_{\ell }$ decays
• Search for $CP$ violation in ${\Xi }_c^{+}\to {\Sigma }^{+}{h}^{+}{h}^{-}$ and ${\Lambda }_c^{+}\to p{h}^{+}{h}^{-}$ at Belle II
• Topological diagrams of doubly charmed baryon decays in the $SU(3{)}_F$ limit