2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/43025Simulation methods for the decays $ B \to π^+ π^- V$, where $V$ is a $1^{--}$ vector-meson, are presented in detail. Emphasis is put on the use of the helicity formalism and the use of effective Lagrangians. We show the importance of ${ρ^{0}}-ω$ mixing in enhancing the direct $CP$ violation (DCPV) when the pion-pion invariant mass is near the mass of the $ω$.14 pages, 2 tables, 5 figures. Talk presented at the CERN Workshop on Event Generators, CERN, Geneva, 22-26 July 2003High Energy Physics - PhenomenologySimulation Methods of the Processes $B \to π^+ π^- V$ including $ρ^0-ω$ Mixing Effectstext