Model-independent analysis of $\text{bbox}B$-$\text{bbox}\bar{B}$ mixing and $\text{bbox}CP$ violation in $\text{bbox}B$ decays

Abstract

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

Comments: 11 pages, 3 Postscript figures, also available via anonymous ftp at ftp://ftp.kek.jp/kek/preprints/TH/TH-441