Simulation Methods of the Processes $B \to π^+ π^- V$ including $ρ^0-ω$ Mixing Effects

Abstract

Simulation 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 $ω$.