Ambiguity-Free Measurement of cos2beta: Time-Integrated and Time-Dependent Angular Analyses of B->J/Psi K pi

Abstract

We present results on $B\to J/ψ\xspace Kπ$ decays using $e^{+}{e}^{-}$ annihilation data collected with the BABAR detector at the ${\rm Y}(4S)$ resonance. The detector is located at the PEP-II asymmetric-energy storage ring facility at the Stanford Linear Accelerator Center. Using approximately 88 million $B\bar{B}$ pairs, we measure the decay amplitudes for the flavor eigenmodes and observe strong-phase differences indicative of final-state interactions with a significance of 7.6 standard deviations. We use the interference between the $K\pi$ $S$-wave and $P$-wave amplitudes in the region of the $K^{\ast }(892)$ to resolve the ambiguity in the determination of these strong phases. We then perform an ambiguity-free measurement of $\cos 2\beta$ using the angular and time-dependent asymmetry in $B\to J/ψ\xspace K^{*0}(K_S^0π^0$) dec With $\sin 2\beta$ fixed at its measured value and $\cos 2\beta$ treated as an in we find $\cos 2\beta =2.72_{-0.79}^{+0.50}(\mathrm{stat})\pm 0.27(\mathrm{syst})$, de sign of $\cos 2\beta$ to be positive at 86% CL.

31 pages, 17 postscript figures, submitted to Phys. Rev. D

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• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

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