Constraining New Physics with the CDF Measurement of CP Violation in $B \to ψK_S$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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13 pages, harvmac, 3 figures; v2: a discussion of new physics effects on tree level decays added; references added; accepted f

Scientific paper

10.1103/PhysRevLett.83.4486

Recently, the CDF collaboration has reported a measurement of the CP asymmetry in the $B\to\psi K_S$ decay: $a_{\psi K_S}=0.79^{+0.41}_{-0.44}$. We analyze the constraints that follow from this measurement on the size and the phase of contributions from new physics to $B-\barB$ mixing. Defining the relative phase between the full $M_{12}$ amplitude and the Standard Model contribution to be $2\theta_d$, we find a new bound: $\sin2\theta_d\gsim-0.6 (-0.87)$ at one sigma (95% CL). Further implications for the CP asymmetry in semileptonic B decays are discussed.

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