Analysis of FCNC Xi(QQ) -> Lambda(Q)l(+) l(-) decay in light-cone sum rules

The weak decays of doubly heavy Xi(QQ) baryon induced by flavor changing b -> d and c -> u flavor changing neutral current within the light-cone sum rules are studied. The sum rules are constructed and analyzed for the corresponding transition form factors using the parallel components of the light-cone distribution amplitudes for Lambda(Q) baryon. Having the results for the form factors, the corresponding branching ratios for Xi(QQ) -> Lambda(Q)l(+)l(-) decays are estimated. While the branching ratio due to b -> d transition is around 10(-9), in c -> u transition case, it is found as around 10(-13). Hence, Xi(bb) -> Lambda(b)l(+)l(-) decay has the potential of being discovered at LHCb. However, Xi(bb) -> 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.