$SU(3)$ Flavor Symmetry for Weak Hadronic Decays of ${\bf B}_{bc}$ Baryons

TL;DR

This paper uses $SU(3)$ flavor symmetry to analyze weak decay modes of ${f B}_{bc}$ baryons, predicting key decay channels and relations among branching ratios to guide experimental searches at LHC.

Contribution

It provides the first systematic analysis of ${f B}_{bc}$ weak decays using $SU(3)$ symmetry, proposing specific decay modes and testable relations among branching ratios.

Findings

Cabibbo allowed decays ${f B}_{bc} o {f B}_b + M$ are crucial for discovery.

Predicted relations among branching ratios can test $SU(3)$ flavor symmetry.

LHC has potential to observe these decay modes.

Abstract

Baryons with a heavy c-quark or a heavy b-quark and also two c-quarks have been discovered. These states are expected in QCD and therefore provide a test for the theory. There should be double beauty baryons, and also an intriguing possibility that baryons ${\bf B}_{bc}$ with a c-quark, a b-quark. These states are yet to be discovered. The main decay modes of ${\bf B}_{bc}$ are expected to be weak processes from theoretical understanding of their mass spectrum. These decay modes can provide crucial information about these heavy baryons ${\bf B}_{bc}$. We analyze two body hadronic weak decays for ${\bf B}_{bc}$ using $SU(3)$ flavor symmetry. Any one of the $c$ and $b$ decays will induce ${\bf B}_{bc}$ to decay. We find that the Cabibbo allowed decays ${\bf B}_{bc} \to {\bf B}_b + M$ due to $c \to s u \bar d$ can be crucial for exploration. The LHC may have the sensitivity to discover such decays. Other ${\bf B}_{bc}$ decays due to $b \to c q' \bar q$ are sub-leading. Several relations among branching ratios are obtained which can be used to test $SU(3)$ flavor symmetry.