SU(3)${}_F$ Analysis for Beauty Baryon Decays

Abstract

We perform a general SU(3)${}_F$ analysis of $b\to c\bar{c}s(d)$ decays of members of the beauty baryon antitriplet to a member of the light baryon octet and a singlet. Under several reasonable assumptions we found $\left|\mathcal{A}({\Xi }_b^0\to \Lambda S)/\mathcal{A}({\Xi }_b^0\to {\Xi }^{0}S)\right|\approx 1/\sqrt{6}\left|V_{cb}^{\ast }{V}_{cd}/(V_{cb}^{\ast }{V}_{cs})\right|$ and $\left|\mathcal{A}({\Lambda }_b\to {\Sigma }^{0}S)/\mathcal{A}({\Lambda }_b\to \Lambda S)\right|\sim 0.02$. These two relations have been recently probed by LHCb for the case of $S=J/\psi$. The former agrees with the measurement, while for the latter our prediction lies close to the upper bound set by LHCb.

arXiv comment28 pages. Additional references and clarifications. Conclusions unchanged

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• 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
• Charmonium decays of beauty baryons in the perturbative QCD approach
• Sizable Time-reversal violating effects in bottom baryon decays
• Four-body Semileptonic Charm Decays $D\to P_1{P}_2{\ell }^{+}{\nu }_{\ell }$ Based on SU(3) Flavor Analysis
• Rare radiative decays of charm baryons
• Rare ${\Lambda }_c$ decays and new physics effects
• Towards an amplitude analysis of the decay ${\Lambda }_b^0\to p{K}^{-}\gamma$
• Relations between $b\to c\tau \nu$ Decay Modes in Scalar Models
• Quark model relations for b-baryon decay
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing
• Amplitude analysis of the ${\Lambda }_b^0\to p{K}^{-}\gamma$ decay