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.

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

References in corpus (6)

• Measurements of $CP$ violation in the three-body phase space of charmless $B^{\pm }$ decays
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
• CP Violation in Multibody $B$ Decays from QCD Factorization
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes in terms of analytic and unitary meson-meson form factors
• Final state interactions in B+- to K+ K- K+- decays
• Kpi form factors and final state interactions in D+ --> K- pi+ pi+ decays