Direct CP Violation In B --> pi^+ pi^- V With rho^0--omega Mixing Effects: Phenomenological Approach

Abstract

We present a detailed study of direct CP violation and branching ratios in the channels $B^{0,\pm }\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}{V}^{0,\pm }$, where $V$ is a vector meson ($K^{\ast 0,\pm }$ or $\ddot{I}{}^{\pm }$). Emphasis is placed upon the important role played by $\ddot{I}{}^0-\ddot{I}‰$ mixing effects in the estimation of the CP-violating asymmetry parameter, $a_{cp}$, associated with the difference of $B$ and $\bar{B}$ decay amplitudes. A thorough study of the helicity amplitudes is presented as a function of the pion-pion invariant mass. All of the calculations and simulations considered correspond to channels which will be analyzed at the LHCb facility.

39 pages, 11 figures, 7 tables. Misprints corrected and comments added in pages 5, 17 and 19