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) × SU(2) × U(1) theory with 1 bulk Higgs hypermultiplet, a 2 parameter SU(3) × SU(2) × U(1) theory with 2 bulk Higgs hypermultiplets, and a 2 parameter SU(5) SU(3) × SU(2) × 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) × SU(2) × U(1) theory with 1 bulk Higgs hypermultiplet.
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