  In the presented article we consider exclusive weak decays of doubly heavy
baryons with spin $J=1/2$ with production of leptonic pair or a set of light
mesons. Using QCD factorization theorem and spectral functions approach we
obtain theoretical predictions for the partial probabilities of these decays
and distributions over various kinematic variables. According to the obtaining
results partial probabilities of some of researched decays are large enough to
be observed experimentally.
