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The measurement of $\sin 2 \beta$ is discussed within and beyond the standardmodel. In the presence of new physics, the angle $\beta$ extracted from theglobal fit(denoted by $\beta^{SM}_{fit}$) and the one extracted from $B\toJ/\psi K_S$ (denoted by $\beta_{J/\psi}$) are in general all different from the'true' angle $\beta$ which is the weak phase of CKM matrix element $V^*_{td}$.Possible new physics effects on the ratio $R_{\beta}=\sin2\beta_{J/\psi}/\sin2\beta^{SM}_{fit}$ is studied and parameterized in a most general form. It isshown that the ratio $R_{\beta}$ may provide a useful tool in probing newphysics. The experimental value of $R_{\beta}$ is obtained through an update ofthe global fit of the unitarity triangle with the latest data and found to beless than unity at 1$\sigma$ level. The new physics effects on $R_{\beta}$ fromthe models with minimum flavor violation (MFV) and the standard model withtwo-Higgs-doublet (S2HDM) are studied in detail. It is found that the MFVmodels seem to give a relative large value $R_{\beta}\geq 1$. With the currentdata, this may indicate that this kind of new physics may be disfavored andalternative new physics with additional phases appears more relevant. As anillustration for models with additional phase beyond CKM phase, the S2HDMeffects on $R_{\beta}$ are studied and found to be easily coincide with thedata due to the flavor changing neutral Higgs interaction.Comment: 19 pages, ReVtex, 5 figures, published version, latest result on sin  (2 beta) from BaBar was considered and more references adde

IMPLICATION OF sin 2β FROM GLOBAL FIT AND B→J/ψKS

IMPLICATION OF sin 2β FROM GLOBAL FIT AND B→J/ψK_S