Supersymmetry and Electroweak breaking from extra dimensions at the TeV-scale
A. Delgado, A. Pomarol, M. Quiros
TL;DR
This work investigates TeV-scale extra dimensions with Scherk–Schwarz SUSY breaking in a minimal 5D MSSM extension, placing gauge and Higgs in the bulk and chiral matter on 4D boundaries. Supersymmetry breaking in the bulk is transmitted by radiative effects to the boundary and fixed by a single pair of $R$-charges, yielding a calculable spectrum with a light SM-like Higgs and heavy superpartners; electroweak symmetry breaking is radiatively triggered with $m_h\lesssim 110\,\mathrm{GeV}$ and soft terms of order $1/R$. The bulk one-loop potential is explicitly computed, and its form shows that EWSB is driven by boundary corrections, while gauge coupling running remains MSSM-like with negligible dependence on the Scherk–Schwarz parameters. Gauge unification is preserved, and the framework offers UV-insensitive predictions for the superpartner spectrum, along with cosmological and phenomenological implications depending on the LSP scenario and possible $R$-parity breaking. Overall, the paper provides a concrete, testable realization of SUSY breaking and EWSB from TeV-scale extra dimensions, with clear signatures for collider and cosmological probes.
Abstract
We analyze some features of the role that extra dimensions, of radius $R$ in the TeV$^{-1}$ range, can play in the soft breaking of supersymmetry and the spontaneous breaking of electroweak symmetry. We use a minimal model where the gauge and Higgs sector of the MSSM are living in the bulk of five dimensions and the chiral multiplets in a four-dimensional boundary. Supersymmetry is broken in the bulk by the Scherk-Schwarz mechanism and transmitted to the boundary by radiative corrections. The particle spectrum is completely predicted as a function of a unique $R$-charge. The massless sector corresponds to the pure Standard Model and electroweak symmetry is radiatively broken with a light Higgs weighing $\simlt$ 110 GeV. The $μ$-problem is solved and Higgsinos, gauginos and heavy Higgses acquire masses $\sim 1/R$. Chiral sfermions acquire radiative squared-masses $\sim α_i/R^2$. The effective potential is explicitly computed in the bulk of extra dimensions and some cosmological consequences can be immediately drawn from it. Gauge coupling running and unification is studied in the presence of Scherk-Schwarz supersymmetry breaking. The unification is similar to that in the supersymmetric theory.