New Mixing Structures of Chiral Generations in a Model with Noncompact Horizontal Symmetry

TL;DR

This paper introduces new mixing structures for chiral generations in a vectorlike model with SU(1,1) horizontal symmetry, explaining hierarchical Yukawa couplings and spontaneous symmetry breaking effects.

Contribution

It presents a novel framework for realizing chiral generations with hierarchical Yukawa matrices via spontaneous symmetry breaking in a noncompact SU(1,1) model.

Findings

Hierarchical patterns in Yukawa coupling matrices are naturally explained.

Overall factors of Yukawa couplings, like those of bottom quark and tau lepton, are suppressed.

New mixing structures between chiral generations are demonstrated.

Abstract

New mixing structures between chiral generations of elementary particles at low energy are shown in a vectorlike model with a horizontal symmetry SU(1,1). In this framework the chiral model including odd number chiral generations is realized via the spontaneous symmetry breaking of the horizontal symmetry. It is shown that the Yukawa coupling matrices of chiral generations have naturally hierarchical patterns, and in some cases the overall factors of their Yukawa coupling matrices, e.g. the Yukawa coupling constants of the bottom quark and tau lepton are naturally suppressed.