How good is the factorization approach in charm decays?

Abstract

An analysis of the factorization approach in charm hadronic decays is carried out by using the spectral-functions method and by exploiting the updated information on the semileptonic processes of both the $D$ meson and the $\ensuremath{\tau}$ lepton. Not only the two-body but also the multiparticle exclusive decays can be computed for the first time. While for some channels agreement with experiment is somewhat acceptable, within a factor of 2, much larger variance is found for other modes: ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{a}_{1}^{+}(1260)$ ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}*}{\ensuremath{\pi}}^{+}$, ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}\ensuremath{\pi}\ensuremath{\pi}\ensuremath{\pi}\ensuremath{\pi}$.