B Factory Constraints on Isosinglet Down Quark Mixing, and Predictions For Other CP Violating Experiments

Abstract

In the main part of the paper we project forward to having $B$ factory determinations of $\sin (2\beta )$ and $\sin (2\alpha )$, for which we take several values. First, we use a joint ${\chi }^2$ analysis of CKM experiments to constrain CKM matrix elements in the standard model, and experiments on the angles $\alpha$, $\beta$, and $\gamma$, and on $x_s$ and null $CP$ asymmetries. Then we invoke mixing to a new isosinglet down quark (as in E${}_6$) which induces FCNC that allow a $Z^0$ mediated contribution to $B-\bar{B}$ mixing and which brings in new phases. We then repeat the ${\chi }^2$ analysis, now including experimental constraints from FCNC as well, finding much larger ranges of prediction for the $B$ factory. We then add projected $B$ factory results on $\sin (2\beta )$ and $\sin (2\alpha )$ and repeat both analyses. In $(\rho ,\eta )$ and $(x_s,\sin (\gamma ))$ plots for the extra isosinglet down quark model, we find multiple regions that will require experiments on $\sin (\gamma )$ and/or $x_s$ to decide between and possibly to effectively bound out the extra down quark contribution.

arXiv comment13 pages using revtex, with 6 uuencoded postscript figures

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