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 $\ddot{I}€\ddot{I}€\ddot{I}€$, $K\ddot{I}€\ddot{I}€$ 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 $\ddot{I}€\ddot{I}€$, $\ddot{I}€K$ 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.

6 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