A Measurement of $\sin 2\beta$ from $B\to J/\psi K_S^0$ with the CDF detector

Abstract

This paper reports an updated measurement of the Standard Model CP violation parameter $\sin 2\beta$ using the CDF Detector at Fermilab. The entire Run I data sample of 110 pb${}^{-1}$ of proton antiproton collisions at $\sqrt{s}=1.8TeV$ is used to identify a signal sample of $\sim 400$ $B\to J/\psi K_S^0$ events, where $J/\psi \to {\mu }^{+}{\mu }^{-}$ and $K_S^0\to {\pi }^{+}{\pi }^{-}$. The flavor of the neutral B meson is identified at the time of production by combining information from three tagging algorithms: a same-side tag, a jet-charge tag, and a soft-lepton tag. A maximum likelihood fitting method is used to determine $\sin 2\beta =0.79\genfrac{}{}{0ex}{}{+0.41}{-0.44}$(stat+syst). This value of $\sin 2\beta$ is consistent with the Standard Model prediction, based upon existing measurements, of a large positive CP violating asymmetry in this decay mode.

36 pages, 9 figures, submitted to Phys.Rev.D, modifications to text for publication

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