Model-independent analysis ofB−B¯mixing andCPviolation inBdecays

We present a framework to analyze the effects of new physics beyond the standard model on $B-\overline{B}$ mixing and $\mathrm{CP}$ violation in $B$ decays in a model-independent manner. Assuming that the tree level decay amplitudes are dominated by the standard model ones, new physics contributions to $B-\overline{B}$ mixing can be extracted from several measurements at $B$ factories. Using this framework, we show the present constraint on new physics contributions to $B-\overline{B}$ mixing and illustrate the constraints expected to be given by future experiments at $B$ factories. We also point out the possibility that $\mathrm{CP}$ asymmetries in $B\to \psi K_S$, $B\to \pi \pi$, and $B\to \mathrm{DK}$ modes look consistent with the standard model, even if a large new physics contribution is present in $B-\overline{B}$ mixing.