Eur. Phys. J. C (2014) 74: 2837
https://doi.org/10.1140/epjc/s10052-014-2837-z

Review

The supersymmetric standard model

with a Brout–Englert–Higgs boson as spin-0 partner of the Z

Laboratoire de Physique Théorique de l’ENS (UMR 8549 CNRS), 24 rue Lhomond, 75231 , Paris Cedex 05, France

^* e-mail: fayet@lpt.ens.fr

Received: 25 March 2014
Accepted: 26 March 2014
Published online: 27 May 2014

Abstract

Supersymmetric extensions of the standard model lead us to expect superpartners for all particles, spin-0 squarks and sleptons and spin- gluinos, charginos, and neutralinos, with an odd -parity making the lightest one stable. The electroweak breaking is induced by a pair of spin-0 doublets, leading to several charged and neutral BE-Higgs bosons. These theories also lead to gauge/Higgs unification by providing spin-0 bosons as extra states for spin-1 gauge bosons within massive gauge multiplets. In particular, the 125 GeV boson recently observed at CERN, most likely a BE-Higgs boson associated with the electroweak breaking, may also be interpreted, up to a mixing angle induced by supersymmetry breaking, as the spin-0 partner of the under two supersymmetry transformations. We also discuss how the compactification of extra dimensions, relying on -parity and other discrete symmetries, may determine both the grand-unification and the supersymmetry-breaking scales.