Models of Scherk-Schwarz Symmetry Breaking in 5D: Classification and Calculability

TL;DR

This paper classifies orbifold symmetry breaking models in 5D, demonstrating their calculability and UV finiteness in certain supersymmetric theories, and computes key physical parameters like the Higgs mass.

Contribution

It provides a systematic classification of Scherk-Schwarz symmetry breaking models in 5D and constructs unique theories with calculable Higgs mass and compactification scale.

Findings

Constructed three unique 5D models with specific gauge and Higgs configurations.

Demonstrated UV finiteness of the Higgs boson mass in certain supersymmetric models.

Calculated the Higgs mass and compactification scale for a specific model.

Abstract

The form of the most general orbifold breaking of gauge, global and supersymmetries with a single extra dimension is given. In certain theories the Higgs boson mass is ultraviolet finite due to an unbroken local supersymmetry, which is explicitly exhibited. We construct: a 1 parameter SU(3) \times SU(2) \times U(1) theory with 1 bulk Higgs hypermultiplet, a 2 parameter SU(3) \times SU(2) \times U(1) theory with 2 bulk Higgs hypermultiplets, and a 2 parameter SU(5) \to SU(3) \times SU(2) \times U(1) theory with 2 bulk Higgs hypermultiplets, and demonstrate that these theories are unique. We compute the Higgs mass and compactification scale in the SU(3) \times SU(2) \times U(1) theory with 1 bulk Higgs hypermultiplet.