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Maximally natural supersymmetry.

Savas Dimopoulos1, Kiel Howe2, John March-Russell3

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This study introduces 4D supersymmetric theories that resolve issues in conventional supersymmetry. The proposed model features a heavy spectrum, minimal tuning, and a Standard Model-like Higgs boson, with potential implications for gravitational waves.

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Area of Science:

  • Theoretical Physics
  • High Energy Physics
  • Cosmology

Background:

  • Conventional supersymmetric theories face challenges that this research aims to address.
  • The study explores 4D theories derived from 5D supersymmetric theories with maximal Scherk-Schwarz breaking.

Purpose of the Study:

  • To present a novel 4D supersymmetric model that circumvents common issues in supersymmetry.
  • To analyze the particle spectrum, Higgs properties, and potential cosmological implications of this new theoretical framework.

Main Methods:

  • Utilizing 5D supersymmetric theories with maximal Scherk-Schwarz breaking at a Kaluza-Klein scale.
  • Investigating the resulting 4D effective theory, including particle masses and interactions.
  • Considering the role of a new U(1) interaction and its impact on the Higgs boson mass.

Main Results:

  • The model avoids many problems of conventional supersymmetry, featuring a heavy SUSY spectrum with minimal fine-tuning.
  • A single Higgs doublet leads to a Standard Model-like Higgs boson, with its mass elevated to 126 GeV by a U(1) interaction.
  • The Z' boson and third-family sfermions are predicted to be accessible at the Large Hadron Collider (LHC13) for minimal tuning.

Conclusions:

  • The proposed 4D weak-scale theories offer a compelling alternative to conventional supersymmetry.
  • The framework allows for a gravitational wave signal consistent with BICEP2 hints under specific inflationary conditions.
  • The model predicts observable signatures at the LHC, including specific sfermion and Z' boson masses.