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arXiv · 2205.14012

Analysis of FCNC $\Xi_{QQ} \to \Lambda_Q l^+ l^-$ decay in light-cone sum rules

T. M. Aliev·S. Bilmis·M. Savci
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Abstract

The weak decays of doubly heavy $\Xi_{QQ}$ baryon induced by flavor changing $b \to d$ and $ c \to u$ flavor changing neutral current within the light cone sum rules are studied. Using the parallel components of the light cone distribution amplitudes for $\Lambda_Q$ baryon, the sum rules are constructed and analyzed for the corresponding transition form factors. Having the results for the form factors, the corresponding branching ratios for $\Xi_{QQ} \to \Lambda_Q l^+ l^-$ decays are estimated. While the branching ratio due to $b \to d$ transition is around $10^{-9}$, in $c \to u$ transition case, it is found as around $10^{-13}$. Hence, $\Xi_{bb} \to \Lambda_b l^+ l^-$ decay has the potential of being discovered at LHCb. However, $\Xi_{bb} \to \Lambda_b l^+ l^-$ is difficult to be measured due to the extremely small values of obtained branching ratio. Our results on the branching ratio are also compared with the results of the light-front approach.

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T. M. Aliev, S. Bilmis, M. Savci. 2022-05-27. Analysis of FCNC $\Xi_{QQ} \to \Lambda_Q l^+ l^-$ decay in light-cone sum rules. https://doi.org/10.1103/physrevd.106.034017

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