Non-leptonic beauty baryon decays and $CP$-asymmetries based on $SU(3)$-Flavor analysis

Abstract

We consider hadronic weak decays of beauty-baryons into charmless baryons and pseudoscalar mesons in a general framework based on $SU(3)$ decomposition of the decay amplitudes. The advantage of the approach lies in the ability to perform an $SU(3)$ analysis of these decays without any particular set of dynamical assumptions while accounting for the effects of an arbitrarily broken $SU(3)$ flavor symmetry. Dictated by the symmetries of the effective Hamiltonian that allow us to relate or neglect reduced $SU(3)$ amplitudes, we derive several sum rule relations between amplitudes and relations between $CP$ asymmetries in these decays and identify those that hold even if $SU(3)$ is broken.

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Cited by in corpus (13)

• Direct CP violation in beauty and charm hadron decays
• Semileptonic weak decays of anti-triplet charmed baryons in the light-front formalism
• Time-reversal asymmetries and angular distributions in ${\Lambda }_b\to \Lambda V$
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Sizable Time-reversal violating effects in bottom baryon decays
• Measurements of branching fractions and asymmetry parameters of ${\Xi }_c^0\to \Lambda {\bar{K}}^{\ast 0}$, ${\Xi }_c^0\to {\Sigma }^0{\bar{K}}^{\ast 0}$, and ${\Xi }_c^0\to {\Sigma }^{+}{K}^{\ast -}$ decays at Belle
• Final-state rescattering mechanism in bottom-baryon decays
• Measuring $\mathbf{CP}$ violating phase in beauty baryon decays
• Implications of recent LHCb data on CPV in b-baryon four body decays
• Topological amplitudes of bottom baryon decays in the $SU(3{)}_F$ limit
• $CP$-violation and $U$-spin symmetry in four-body bottom baryon decays
• Isospin sum rules for bottom-baryon weak decays
• $U$-spin sum rules for two-body decays of bottom baryons