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

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.

Figures (3)

• Figure 1: A diagrammatic representation of ${\cal Z}(0)$ and ${\cal Z}(\pi R)$ as reflections about $y=0$ and $y'=0$, with $y'=y-\pi R$.
• Figure 2: The physical Higgs boson mass $m_h$ as a function of $\theta$.
• Figure 3: The compactification scale $1/R$ as a function of $\theta$.