A Phenomenological Analysis of Non-resonant Charm Meson Decays

Abstract

We analyse the consequences of the usual assumption of a constant function to fit non-resonant decays from experimental Dalitz plot describing charmed meson decays. We first show, using the $D^{+}\to {\bar{K}}^0{\pi }^{+}{\pi }^0$ decay channel as an example, how an inadequate extraction of the non-resonant contribution could yield incorrect measurements for the resonant channels. We analyse how the correct study of this decay will provide a test for the validity of factorization in D meson decays. Finally, we show how form factors could be extracted from non-resonant decays. We particularly discuss about the form factor that can be measured from the $D_s^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay. We emphasize on its relevance for the study of the decay $\tau \to {\nu }_{\tau }3\pi$ and the extraction of the $a_1$ meson width.

14 pages, Latex including 6 eps figures

Cited by in corpus (6)

• Dalitz Plot Analysis of the Decay D^+ --> K^- pi^+ pi^+ and Indication of a Low-Mass Scalar K pi Resonance
• Nonresonant Three-body Decays of D and B Mesons
• Kpi form factors and final state interactions in D+ --> K- pi+ pi+ decays
• Study of the D^0 \to pi^-pi^+pi^-pi^+ decay
• Scalar resonances in a unitary $\pi -\pi$ $S$-wave model for $D^{+}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}$
• Final state hadronic interactions and non-resonant $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ decays