Enhanced Direct CP Violation in $B^{\pm} \to ρ^{0} π^{\pm}$

Details Enhanced Direct CP Violation in $B^{\pm} \to ρ^{0} π^{\pm}$ Enhanced Direct CP Violation in $B^{\pm} \to ρ^{0} π^{\pm}$

2000-09-05

arxiv.org/abs/hep-ph/0009042v1

Phys.Rev.D63:056012,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

37 pages, 7 figures

Scientific paper

10.1103/PhysRevD.63.056012

We study direct CP violation in the hadronic decay $B^{\pm} \to \rho^{0}\pi^{\pm}$, including the effect of $\rho - \omega$ mixing. We find that the CP violating asymmetry is strongly dependent on the CKM matrix elements, especially the Wolfenstein parameter $\eta$. For fixed $N_{c}$ (the effective parameter associated with factorization), the CP violating asymmetry, $a$, has a maximum of order $30%-50%$ when the invariant mass of the $\pi^{+}\pi^{-}$ pair is in the vicinity of the $\omega$ resonance. The sensitivity of the asymmetry, $a$, to $N_{c}$ is small. Moreover, if $N_{c}$ is constrained using the latest experimental branching ratios from the CLEO collaboration, we find that the sign of $\sin \delta$ is always positive. Thus, a measurement of direct CP violation in $B^{\pm} \to \rho^{0}\pi^{\pm}$ would remove the mod$(\pi)$ ambiguity in ${\rm arg}[ - \frac{V_{td}V_{tb}^{\star}}{V_{ud}V_{ub}^{\star}}]$.

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