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

¹ Sorbonne Université, Campus Pierre et Marie Curie, Sorbonne Paris Cité, Université Paris Diderot, et IN2P3-CNRS, LPNHE, Groupe Phénoménologie, Paris, France
² Instituto de Física de São Carlos, Universidade de São Paulo, SP, Brazil
³ Laboratório de Física Teórica e Computacional, Universidade Cruzeiro do Sul, São Paulo, SP, Brazil
⁴ Grup de Física Teòrica and IFAE, Universitat Autònoma de Barcelona, Bellaterra (Barcelona), Spain
⁵ H. Niewodniczański Institute of Nuclear Physics, PAN, Kraków, Poland

^* e-mail: loiseau@lpnhe.in2p3.fr

Published online: 13 March 2019

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 πππ, Kππ and KK$\overline{K}$ 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 ππ, πK and K$\overline{K}$ form factors. They are an alternative to the isobar-model description and can be useful in the interpretation of CP asymmetries.