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.
Highlights
LHCb is poised to collect a large data set of two-body weak decays of beauty baryons [1,2,3] into charmless baryons and pseudoscalar mesons, paving the way to a better understanding of heavy baryon decays
The general framework of SUð3Þ analysis in beauty mesons—as well as charm meson decays [43,44,45,46,47,48,49,50,51,52,53] into two pseudoscalars (PP), a pseudoscalarvector boson (PV), and two vector mesons (VV)—has yielded several amplitude sum rules and relationships between CP asymmetries for various decay modes
We consider the hadronic beauty baryon decays into an octet or singlet of light baryons and a pseudoscalar meson based on the SUð3Þ decomposition of the decay amplitudes approach pioneered for B-meson
Summary
LHCb is poised to collect a large data set of two-body weak decays of beauty baryons [1,2,3] into charmless baryons and pseudoscalar mesons, paving the way to a better understanding of heavy baryon decays. We consider the hadronic beauty baryon decays into an octet or singlet of light baryons and a pseudoscalar meson based on the SUð3Þ decomposition of the decay amplitudes approach pioneered for B-meson. Starting with the symmetries of the effective Hamiltonian, we relate or neglect reduced SUð3Þ amplitudes to derive several sum rule relations between amplitudes and relations between CP asymmetries while indicating more general relations that continue to hold when the SUð3Þ symmetry is no longer exact.
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