Testing the Standard Model and Schemes for Quark Mass Matrices with CP Asymmetries in B Decays

Abstract

The values of $\sin (2\alpha )$ and $\sin (2\beta )$, where $\alpha$ and $\beta$ are angles of the unitarity triangle, will be readily measured in a B factory (and maybe also in hadron colliders). We study the standard model constraints in the $\sin (2\alpha )-\sin (2\beta )$ plane. We use the results from recent analyses of $f_B$ and ${\tau }_b|V_{cb}{|}^2$ which take into account heavy quark symmetry considerations. We find $\sin (2\beta )\ge 0.15$ and most likely $\sin (2\beta )\text{roughly}>0.6$, and emphasize the strong correlations between $\sin (2\alpha )$ and $\sin (2\beta )$. Various schemes for quark mass matrices allow much smaller areas in the $\sin (2\alpha )-\sin (2\beta )$ plane. We study the schemes of Fritzsch, of Dimopoulos, Hall and Raby, and of Giudice, as well as the ``symmetric CKM'' idea, and show how CP asymmetries in B decays will crucially test each of these schemes.

Comments: 11 pages and 4 postscript figures available on request, LaTeX, WIS-92/52/Jun-PH, LBL-32563