Model Independent Bound on the Unitarity Triangle from CP Violation in B-> pi+ pi- and B-> psi K_S

Abstract

We derive model independent lower bounds on the CKM parameters (1-rhobar) and etabar as functions of the mixing-induced CP asymmetry S in B-> pi+ pi- and sin(2 beta) from B->psi K_S. The bounds do not depend on specific results of theoretical calculations for the penguin contribution to B-> pi+ pi-. They require only the very conservative condition that a hadronic phase, which vanishes in the heavy-quark limit, does not exceed 90 degrees in magnitude. The bounds are effective if -sin(2 beta) < S < 1. Dynamical calculations indicate that the limits on rhobar and etabar are close to their actual values.

arXiv comment5 pages, 2 figures

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Cited by in corpus (11)

• Implications of Charmless B Decays with Large Direct CP Violation
• Annihilation effects in $B\to \pi \pi$ from QCD Light-Cone Sum Rules
• Reducing the Error on alpha in B-> pi pi, rho rho, rho pi
• Direct CP Violation, Branching Ratios and Form Factors $B\to \pi$, $B\to K$ in $B$ Decays
• CP Violation in B -> pi+ pi- and the Unitarity Triangle
• Penguin pollution estimates relevant for phi_2/alpha extraction
• Exploring the Unitarity Triangle through CP violation observables in $B_s\to K^{+}{K}^{-}$
• B Physics Theory for Hadron Colliders
• Bounds on gamma from CP violation measurements in B -> pi+ pi- and B -> psi K_S
• Extension of the Buchalla-Safir bound
• Non-leptonic B-decays, CP violation & the UT