Abstract

Folded supersymmetry (f-SUSY) stabilizes the weak scale against radiative corrections from the top sector via scalar partners whose gauge quantum numbers differ from their Standard Model counterparts. This non-trivial pairing of states can be realized in extra-dimensional theories with appropriate supersymmetry-breaking boundary conditions. We present a class of calculable f-SUSY models that are parametrized by a non-trivial twist in 5D boundary conditions and can accommodate the observed Higgs mass and couplings. Although the distinctive phenomenology associated with the novel folded states should provide strong evidence for this mechanism, the most stringent constraints are currently placed by conventional supersymmetry searches. These models remain minimally fine-tuned in light of LHC8 data and provide a range of both standard and exotic signatures accessible at LHC13.

Highlights

  • Constraining naturalness in the context of these models

  • Neutral natural models relying on supersymmetry, such as Folded supersymmetry (f -SUSY), can accommodate both a tree-level quartic and a Higgs boson aligned with the Standard Model vacuum

  • How does one construct a model of neutral naturalness that is consistent with SUSY at high energies? since the N = 1 global supersymmetry commutes with the Standard Model gauge group, the low-energy pairing of colored and un-colored states in f -SUSY resembles hard SUSY breaking from a 4D perspective

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Summary

Supersymmetry in 5D

We review some basic properties of theories with Scherk-Schwarz SUSY breaking. If boundary conditions are chosen such that the same N = 1 SUSY is respected by both of the fixed points, U = and Z = Σ3, corresponding to [Z, Z ] = 0 In this case, the low-energy theory after KK decomposition will be N = 1 supersymmetric. Given the boundary conditions, the KK modes of each component field will be split in mass At low energies this is just a theory with softly-broken SUSY. As we will see all corrections to the Higgs potential are explicitly finite Another generic feature of Scherk-Schwarz SUSY breaking is a compressed spectrum of all the 4D states who descend from bulk fields [32, 33].

Calculability and its discontents
Folded supersymmetry
Folded supersymmetry at maximal twist
Folded supersymmetry at arbitrary twist
Folded phenomenology
Higgs on the brane
Higgs in the bulk
Conclusions
A Boundary conditions
B Wave functions
C Boundary fields and discontinuities
D One-loop Coleman-Weinberg potential
Gauge soft mass
Singlet soft mass
Findings
F Brane localized kinetic terms
Full Text
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