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A factorization hypothesis is tested by examining a form factor of the$\omega\pi$ production in hadronic $B^0 \to D^{\ast \pm}\omega\pi^\mp$ decays.The form factor is compared to that from available $\tau$-lepton as well as$e^+e^-$ data using the conserved vector current hypothesis. The difference ofnormalizations of form factor shapes from $B$ and $\tau~(e^+e^-)$ dataindicates the important role of the large $N_c$ limit in QCD. Moreover, thegrowth of the difference between the form factors with the $\omega\pi$invariant mass is related to the perturbative QCD corrections of factorization.The current precision of $B$ data does not allow one to find any evidence ofcorrections to factorization. A promising study could be performed with theBelle II and LHCb data sets.

A study of the corrections to factorization in $\bar{B}^0 \to D^{* +} \omega \pi^-$