Supersymmetry and Finite Radiative Electroweak Breaking from an Extra Dimension

A. Delgado; M. Quirós

doi:10.1016/S0550-3213(01)00221-8

paper

Supersymmetry and Finite Radiative Electroweak Breaking from an Extra Dimension

arXiv:hep-ph/0103058 · doi:10.1016/S0550-3213(01)00221-8

Abstract

A five dimensional N=1 supersymmetric theory compactified on the orbifold $S^{1} / Z_{2}$ is constructed. Gauge fields and $S U (2)_{L}$ singlets propagate in the bulk ( $U$ -states) while $S U (2)_{L}$ doublets are localized at an orbifold fixed point brane ( $T$ -states). Zero bulk modes and localized states constitute the MSSM and massive modes are arranged into N=2 supermultiplets. Superpotential interactions on the brane are of the type $U T T$ . Supersymmetry is broken in the bulk by a Scherk-Schwarz mechanism using the $U (1)_{R}$ global $R$ -symmetry. A radiative finite electroweak breaking is triggered by the top-quark/squark multiplet $T$ propagating in the bulk. The compactification radius $R$ is fixed by the minimization conditions and constrained to be $1/R \simlt 10-15$ TeV. It is also constrained by precision electroweak measurements to be $1/R \simgt 4$ TeV. The pattern of supersymmetric mass spectrum is well defined. In particular, the lightest supersymmetric particle is the sneutrino and the next to lightest supersymmetric particle the charged slepton, with a squared-mass difference $\sim M_{Z}^{2}$ . The theory couplings, gauge and Yukawa, remain perturbative up to scales $E$ given, at one-loop, by $ER \simlt 30-40$. Finally, LEP searches on the MSSM Higgs sector imply an absolute lower bound on the SM-like Higgs mass, around 145 GeV in the one-loop approximation.

19 pages, 6 figures, Latex2e, axodraw.sty. Some changes concerning LEP Higgs searches

Supersymmetry and Finite Radiative Electroweak Breaking from an Extra Dimension

Abstract

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