Investigation of the semileptonic decay ${\mathrm{\Xi }}_{cc}^{++}\to {\mathrm{\Xi }}_{c}^{+}\overline{\ell }{\nu }_{\ell }$ within QCD sum rules

We study the semileptonic decay of the doubly heavy baryon ${\mathrm{\Xi }}_{cc}^{++}$ into the singly heavy baryon ${\mathrm{\Xi }}_{c}^{+}$ within the three-point QCD sum rule approach in two possible lepton channels. Our analysis includes perturbative as well as nonperturbative condensation contributions up to dimension 5. We evaluate the form factors of this semileptonic decay entering the amplitude described by the vector and axial vector transition currents. The fit functions of the form factors with respect to the transferred momentum squared are utilized to predict the decay widths and branching ratios of the ${\mathrm{\Xi }}_{cc}^{++}\to {\mathrm{\Xi }}_{c}^{+}\overline{\ell }{\nu }_{\ell }$ channels. We compare our findings with other predictions in the literature. Our outcomes can be useful for experimental groups in their search for the weak decays of doubly heavy baryons and may be checked via future experiments such as LHCb.