Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes

Abstract

A short review of our recent work on amplitude parametrizations of three-body hadronic weak $B$ and $D$ decays is presented. The final states are here composed of three light mesons, namely the various charge $\pi \pi \pi$, $K\pi \pi$ and $KK\bar{K}$ states. These parametrizations are derived from previous calculations based on a quasi-two-body factorization approach where the two-body hadronic final state interactions are fully taken into account in terms of unitary $S$- and $P$-wave $\pi \pi$, $\pi K$ and $K\bar{K}$ form factors. They are an alternative to the isobar-model description and can be useful in the interpretation of CP asymmetries.

arXiv comment6 pages. Contribution presented at the 9th International Workshop on Charm Physics, Budker INP, Novosibirsk, Russia, May 21 to 25, 2018, submitted to EPJ Web of Conferences

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