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arXiv · 1911.01121

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

Shibasis Roy·Rahul Sinha·N. G. Deshpande
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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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Shibasis Roy, Rahul Sinha, N. G. Deshpande. 2019-11-04. Non-leptonic beauty baryon decays and $CP$-asymmetries based on $SU(3)$-Flavor analysis. https://doi.org/10.1103/physrevd.101.036018

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