Testing Flavor Symmetries by B-Factory

Understand

Predictions of the Cabibbo-Kobayashi-Maskawa (CKM) parameters are investigated in detail in recent predictive models which are based on low-energy non-abelian discrete family symmetries.

• Some of the models can already be excluded at the present precision of the determination of the CKM parameters, while some of them seem to survive.
• We find that to make the uncertainties in the predictions comparable with the assumed uncertainties of $\sim 1^{\circ}$ and $\sim 2^{\circ}$ in $\phi_2$ and $\phi_3$, respectively, at about 50 inverse atto barn achieved at a feature B factory, it is necessary to reduce the uncertainties in the quark masses, especially that of the strange quark mass by more than 60%.