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We present the estimate of the branching ratio for the rare decay $\barB^0\to D^*\gamma$. We use QCD factorization approach in order to compute theamplitude of the process. The calculation is carried out with the leading orderaccuracy. % Our consideration is based on the % factorization for the amplitudeof the process which % has been derived with the leading order accuracy. Theappearing non-perturbative matrix elements have been estimated using thelarge$-N_c$ limit and QCD sum rule approach. We obtained that $\mathcal{B}(\barB^0\to D^*\gamma)\simeq 1.52\times 10^{-7}$. Such value of the branchingfraction is too small in order to be measured at present experiments.

QCD factorization approach for rare $\bar B^0\to D^*\gamma$ decay