Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1992-07-09
Phys.Rev.D47:2818-2824,1993
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages and 4 postscript figures available on request, LaTeX, WIS-92/52/Jun-PH, LBL-32563
Scientific paper
10.1103/PhysRevD.47.2818
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 $\sin (2 \beta) \geq 0.15$ and most likely $\sin (2 \beta) \roughly{>} 0.6$, 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.
Nir Yosef
Sarid Uri
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