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

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 $pipipi$, $Kpipi$ and $KKbar K$ 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 $pipi$, $pi K$ 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.