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

Abstract

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 of normalizations of form factor shapes from $B$ and $\tau (e^{+}{e}^{-})$ data indicates the important role of the large $N_c$ limit in QCD. Moreover, the growth 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 of corrections to factorization. A promising study could be performed with the Belle II and LHCb data sets.

Comments: 10 pages, 3 figures, to be submitted to JHEP