Testing the standard model and schemes for quark mass matrices with CP asymmetries in B decays.

The values of sin 2α and sin 2β, where α and β 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 2α − sin 2β plane. We use the results from recent analyses of fB and τb|Vcb| which take into account heavy quark symmetry considerations. We find sin 2β ≥ 0.15 and most likely sin 2β >∼ 0.6, and emphasize the strong correlations between sin 2α and sin 2β. Various schemes for quark mass matrices allow much smaller areas in the sin 2α− sin 2β 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. Incumbent of The Ruth E. Recu Career Development Chair. Supported in part by the Israel Commission for Basic Research, United States–Israel Binational Science Foundation and the Minerva Foundation. E-mail: [email protected] E-mail: sarid%[email protected] Permanent address