Weak $\Xi_{QQ} \to \Sigma_Q \ell^+ \ell^-$ decays induced by FCNC in QCD

TL;DR

This paper investigates rare doubly heavy baryon decays induced by flavor-changing neutral currents using light-cone sum rules, estimating their branching ratios and comparing with other theoretical approaches.

Contribution

It provides the first detailed calculation of form factors and branching ratios for $ ext{Xi}_{QQ} o ext{Sigma}_Q ext{l}^+ ext{l}^-$ decays induced by FCNC in the light-cone sum rules framework.

Findings

Branching ratio for $c o u$ transition is about five orders smaller than for $b o d$ transition.

Form factors for the decays are calculated using light-cone sum rules.

Results are compared with other theoretical models.

Abstract

With the discovery of the doubly heavy $\Xi_{cc}$ baryon, comprehensive studies of the properties of the doubly heavy baryons are started. In the present work, we examine the $\Xi_{bb} \to \Sigma_b \ell^+ \ell^-$ and $\Xi_{cc} \to \Sigma_c \ell^+ \ell^-$ decays induced by flavor-changing neutral currents (FCNC) in the framework of the light-cone sum rules. After obtaining the sum rules for the form factors induced by the tensor current, the branching ratios of the relevant transitions are estimated. We found that the branching ratio for the $c \to u$ transition is around five orders smaller than the $b \to d$ transition. Our findings are also compared with other approaches.