We firstly carry out a systematic analysis on the spin ${\frac{1}{2}}^{+}\to {\frac{3}{2}}^{+}$ weak transition process in the framework of three-point QCD sum rules, where the initial and final states are doubly and singly charmed baryons. On the phenomenological side, all possible couplings of interpolating current to hadronic states are considered. In doing operator production expansion on the QCD side, the contributions of the perturbative part and vacuum condensate terms of $⟨\overline{q}q⟩$, $⟨g_s^{2}GG⟩$, $⟨\overline{q}{g}_s\sigma Gq⟩$, and $g_s^2⟨\overline{q}q{⟩}^2$ are all considered. After the form factors in the spacelike region ($Q^2>0$) are obtained, the numerical results are extrapolated into the timelike region ($Q^2<0$) by a fitting function. Using the predicted form factors, we finally analyze the semileptonic decays of ${\mathrm{\Xi }}_{cc}^{++}\to {\mathrm{\Sigma }}_c^{*+}{l}^{+}{\nu }_l$, ${\mathrm{\Xi }}_{cc}^{++}\to {\mathrm{\Xi }}_c^{\prime *+}{l}^{+}{\nu }_l$, ${\mathrm{\Omega }}_{cc}^{+}\to {\mathrm{\Xi }}_c^{\prime *0}{l}^{+}{\nu }_l$, and ${\mathrm{\Omega }}_{cc}^{+}\to {\mathrm{\Omega }}_c^{*0}{l}^{+}{\nu }_l$ with $l=e$, $\mu$. The predictions in this work can deepen our understanding of the dynamics in the decay processes of doubly heavy baryons and provide useful information to explore the possibility of new physics in heavy baryonic decay channels.

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• Form factors