Direct ${CP}$ violation in $ {B\rightarrow \pi^{+}\pi^{-} V}$ with $\rho^{0}$–$\omega$ mixing effects: phenomenological approach

Z.J. Ajaltouni; O. Leitner; P. Perret; C. Rimbault; A.W. Thomas

doi:doi:10.1140/epjc/s2003-01219-0

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2019 Impact factor 4.389

Particles and Fields

Eur. Phys. J. C 29, 215-233 (2003)
DOI: 10.1140/epjc/s2003-01219-0

Direct CP violation in ${B\rightarrow \pi^{+}\pi^{-} V}$ with $\rho^{0}$ - $\omega$ mixing effects: phenomenological approach

Z.J. Ajaltouni¹, O. Leitner^{1, 2}, P. Perret¹, C. Rimbault¹ and A.W. Thomas²

¹ Laboratoire de Physique Corpusculaire de Clermont-Ferrand, IN2P3/CNRS Université Blaise Pascal, 63177 Aubière Cedex, France
² Department of Physics and Mathematical Physics and Special Research Centre for the Subatomic Structure of Matter, University of Adelaide, Adelaide 5005, Australia

ziad@clermont.in2p3.fr
oleitner@physics.adelaide.edu.au
perret@clermont.in2p3.fr
rimbault@clermont.in2p3.fr
athomas@physics.adelaide.edu.au

(Received: 18 February 2003 / Revised version: 7 April 2003 / Published online: 23 May 2003 )

Abstract
We present a detailed study of direct CP violation and the branching ratios in the channels $B^{0,\pm} \rightarrow \pi^{+}\pi^{-} V^{0,\pm}$ , where V is a vector meson ( $K^{* 0,\pm}$ or $\rho^{\pm}$ ). Emphasis is put 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 the 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.