Weak Decays of Doubly Heavy Baryons: SU(3) Analysis

Abstract

Motivated by the recent LHCb observation of doubly-charmed baryon ${\Xi }_{cc}^{++}$ in the ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+}$ final state, we analyze the weak decays of doubly heavy baryons ${\Xi }_{cc}$, ${\Omega }_{cc}$, ${\Xi }_{bc}$, ${\Omega }_{bc}$, ${\Xi }_{bb}$ and ${\Omega }_{bb}$ under the flavor SU(3) symmetry. Decay amplitudes for various semileptonic and nonleptonic decays are parametrized in terms of a few SU(3) irreducible amplitudes. We find a number of relations or sum rules between decay widths and CP asymmetries, which can be examined in future measurements at experimental facilities like LHC, Belle II and CEPC. Moreover once a few decay branching fractions are measured in future, some of these relations may provide hints for exploration of new decay modes.

28 pages, 12 figures, 22 tables

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• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }q}\to {\Lambda }_{Q^{\prime }}$ Weak Decays
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• Studying ${\mathcal{B}}_1({\frac{1}{2}}^{+})\to {\mathcal{B}}_2({\frac{1}{2}}^{+}){\ell }^{+}{\ell }^{-}$ Semi-leptonic Weak Baryon Decays with the SU(3) Flavor Symmetry
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• Strong interaction of doubly heavy spin-3/2 baryons with light vector mesons
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• Baryons in the light-front approach: The three-quark picture
• Searching for tetraquark through weak decays of b-baryons
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• Four-body Semileptonic Charm Decays $D\to P_1{P}_2{\ell }^{+}{\nu }_{\ell }$ Based on SU(3) Flavor Analysis
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• One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons
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• Isospin sum rules in charmed baryon weak decays
• Transition properties of Doubly Heavy Baryons
• Semileptonic decays of doubly charmed baryons with bag model
• Analysis of the semileptonic decays of ${\Xi }_{cc}$ and ${\Omega }_{cc}$ baryons in QCD sum rules
• Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons
• The nonleptonic decays of double-charmed baryon ${\Omega }_{cc}^{+}$ within the nonrelativistic quark model
• Flavor SU(3) analysis of the charmless semileptonic $B\to PV{\ell }^{+}{\nu }_{\ell }$ decays
• The nonleptonic decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ within the nonrelativistic quark model
• Topological diagrams of doubly charmed baryon decays in the $SU(3{)}_F$ limit
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$