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Area of Science:

  • High Energy Physics
  • Theoretical Physics
  • Particle Physics

Background:

  • Minimal Supersymmetric Standard Model (MSSM) often exhibits significant electroweak fine-tuning.
  • This fine-tuning is particularly pronounced for certain boundary conditions and Higgs masses (126 GeV).
  • Existing fine-tuning values are often considered unacceptably large, potentially indicating issues with supersymmetry (SUSY) breaking mechanisms.

Purpose of the Study:

  • To investigate a minimal modification of MSSM to restore naturalness.
  • To reduce electroweak fine-tuning by altering the SUSY breaking scale.
  • To explore a model without introducing additional visible sector fields.

Main Methods:

  • Lowering the SUSY breaking scale in the hidden sector to a few TeV.
  • Introducing effective quartic Higgs couplings proportional to the ratio of visible to hidden sector SUSY breaking scales.
  • Analyzing the model in the limit where the sgoldstino component is integrated out, realizing the superfield non-linearly.

Main Results:

  • Reduced electroweak fine-tuning to acceptable levels ([Formula: see text]).
  • Naturalness is restored for conservative cases with low hidden sector scales and specific boundary conditions.
  • The model smoothly transitions to standard gravity-mediated MSSM-like models as the hidden sector scale increases.

Conclusions:

  • A minimal modification involving lowering the hidden sector SUSY breaking scale effectively addresses electroweak fine-tuning in MSSM.
  • This approach provides a natural solution without requiring additional particles in the visible sector.
  • The proposed model offers a continuous range of fine-tuning values, connecting to established MSSM scenarios.