  A complete study of the process B to pi+ pi- V(V=1--) is performed both in
the framework of the helicity formalism and the effective lagrangian approach.
Emphasis is put on the factorization hypothesis and the importance of the rho0-
omega mixing in enhancing the direct CP violation. New results involving some
branching ratios and the ratio of the Penguin/Tree amplitude are given in
details.
