Supersymmetry and electroweak breaking with large and small extra dimensions

Abstract

We consider the problem of supersymmetry and electroweak breaking in a 5d theory compactified on an $S^1/Z_2$ orbifold, where the extra dimension may be large or small. We consider the case of a supersymmetry breaking 4d brane located at one of the orbifold fixed points with the Standard Model gauge sector, third family and Higgs fields in the 5d bulk, and the first two families on a parallel 4d matter brane located at the other fixed point. We compute the Kaluza-Klein mass spectrum in this theory using a matrix technique which allows us to interpolate between large and small extra dimensions. We also consider the problem of electroweak symmetry breaking in this theory and localize the Yukawa couplings on the 4d matter brane spatially separated from the brane where supersymmetry is broken. We calculate the 1-loop effective potential using a zeta-function regularization technique, and find that the dominant top and stop contributions are separately finite. Using this result we find consistent electroweak symmetry breaking for a compactification scale {$1/R\approx 830$ GeV} and a lightest Higgs boson mass $m_h\approx 170$ GeV.

Typos corrected, version accepted for publication in Nucl.Phys.B

References in corpus (5)

• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• Finite Radiative Electroweak Symmetry Breaking from the Bulk
• Supersymmetry and Finite Radiative Electroweak Breaking from an Extra Dimension
• Quadratic Divergences in Kaluza-Klein Theories
• Brane Mediated Supersymmetry Breaking

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• Supersymmetric Higgs Bosons in a 5D Orbifold Model
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• A model of cosmology and particle physics at an intermediate scale
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• The lightest Higgs boson mass in effective field theory with bulk and brane supersymmetry breaking
• Higher Derivative Operators as Counterterms in Orbifold Compactifications