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

TL;DR

This paper uses SU(3) symmetry to analyze weak decays of doubly heavy baryons, deriving relations between decay processes that can guide future experimental measurements and potentially reveal new decay modes.

Contribution

It introduces a systematic SU(3) symmetry analysis of doubly heavy baryon decays, establishing decay amplitude relations and sum rules for future experimental testing.

Findings

Derived decay width relations and sum rules.

Predicted CP asymmetry relations.

Provided guidance for future experimental exploration.

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.