Democratic parameterization and analysis for 331 model as a subgroup of $SU(6)$

TL;DR

This paper introduces a democratic parameterization for the 331 extension of the Standard Model, inspired by SU(6) symmetry, which predicts quark mixing angles and masses with high accuracy using minimal parameters.

Contribution

It presents a novel parameterization approach for the 331 model based on SU(6) symmetry, enabling precise predictions of quark mixing and masses with few inputs.

Findings

Predicted CKM mixing angles within 1-3 standard deviations of experimental data.

Achieved a best global fit with χ²≈0.67 and all predictions within 0.61σ.

Demonstrated correlations between input parameters and observable quantities.

Abstract

A democratic parameterization is introduced for $SU(3)_C\otimes SU(3)_L\otimes U(1)_X$ extension of the Standard Model, which is inspired by $SU(6)$ symmetry. In the novel scenario all Cabibbo-Kobayashi-Maskawa mixing angles and quark masses, nine observable quantities in total, are predicted within 1$-$3 standard deviations of the experimental values with a minimum number of input parameters. The present work provides the thorough numerical analysis and correlations between input parameters and predicted quantities. $\chi^2\approx 0.67$ with $\forall\sigma<0.61$ corresponds to the best global fit benchmark point. Benefits of the new parameterization and future prospects are discussed as well.