Charged lepton and down-type quark masses in SU(1,1) model and the structure of higgs sector

TL;DR

This paper explores an extended SU(1,1) symmetry model for quark and lepton masses, revealing a richer Higgs sector structure necessary for realistic Yukawa couplings and providing a classification of possible coupling patterns.

Contribution

It introduces a minimal extension of the SU(1,1) model with a doubled Higgs sector, addressing phenomenological issues and classifying Yukawa coupling patterns.

Findings

Extended Higgs sector allows realistic Yukawa matrices.

Classification of possible Yukawa coupling patterns.

Framework admits a restrictive extension consistent with phenomenology.

Abstract

The simplest noncompact group SU(1,1),when introduced as a symmetry group of the generations of quarks and leptons in the framework of a vector-like theory, gives an excellent viewpoint on low energy physics. The minimal setup of the scheme, however, gives phenomenologically unacceptable prediction on the Yukawa coupling matrices. This suggests the higgs sector has richer structure than we expect from the success of MSSM. The natural extension of the scheme, which has doubled structure in the higgs sector, is formulated. The framework admits this extension in a restrictive way. The possible patterns of Yukawa couplings are classified and the expressions of the coupling matrices are presented.