Testing Flavor Symmetries by B-Factory

TL;DR

This paper evaluates how well current and future B-factory experiments can test models of flavor symmetries based on CKM parameter predictions, highlighting the need for improved quark mass measurements.

Contribution

It analyzes the potential of B-factory precision measurements to discriminate between models with non-abelian discrete family symmetries.

Findings

Some models are already excluded by current data.

Future measurements require reducing quark mass uncertainties, especially strange quark mass.

High-precision B-factory data can test flavor symmetry predictions.

Abstract

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%.