Gauge and Yukawa couplings in 6D supersymmetric SU(6) models

TL;DR

This paper explores 6D supersymmetric SU(6) models, analyzing gauge couplings, Yukawa hierarchies, and supersymmetry breaking, revealing complex behaviors and realistic fermion mass patterns influenced by extra dimensions.

Contribution

It introduces a comprehensive analysis of gauge and Yukawa couplings in 6D SU(6) models, demonstrating how extra-dimensional effects generate realistic fermion hierarchies.

Findings

Effective 4D gauge couplings show nontrivial behavior between compactification scales.

Realistic Yukawa coupling patterns are achieved for specific parameter ranges.

Hierarchical fermion masses are generated via suppression from extra-dimensional effects.

Abstract

We study six-dimensional (6D) SU(6) supersymmetric models where the doublet-triplet splitting, quark-lepton mass relations and gaugino-mediated supersymmetry breaking are taken into account. We find that effective 4D gauge coupling constants have highly nontrivial behavior between two compactification scales. It is shown that realistic patterns of Yukawa coupling constants are obtained for valid values of parameters and that hierarchical numbers are generated via suppression by extra-dimensional effects.