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

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

2003-02-18

arxiv.org/abs/hep-ph/0302156v2

Eur.Phys.J.C29:215-233,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1140/epjc/s2003-01219-0

We present a detailed study of direct CP violation and branching ratios in the channels $B^{0,\pm} \to \pi^{+}\pi^{-} V^{0,\pm}$, where $V$ is a vector meson ($K^{* 0,\pm}$ or $\rho^{\pm}$). Emphasis is placed upon the important role played by ${{\rho}^{0}}-{\omega}$ 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.

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