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Case for an EeV Gravitino.

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Supersymmetry breaking above the inflationary scale suggests the gravitino as dark matter. This requires a high supersymmetric spectrum to prevent overproduction, predicting a high reheating temperature.

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Area of Science:

  • Particle Physics
  • Cosmology
  • Astrophysics

Background:

  • Supersymmetry (SUSY) is a theoretical framework extending the Standard Model.
  • The gravitino is the hypothetical supersymmetric partner of the graviton.
  • Dark matter constitutes a significant portion of the universe's mass-energy content.

Purpose of the Study:

  • To explore a class of models where supersymmetry is broken above the inflationary scale.
  • To investigate the gravitino as a dark matter candidate within this framework.
  • To determine constraints on the supersymmetric spectrum and reheating temperature.

Main Methods:

  • Considering a scenario with high-scale supersymmetry breaking.
  • Analyzing gravitino production from the decay of the next-to-lightest supersymmetric particle.
  • Applying cosmological constraints to the model parameters.

Main Results:

  • The gravitino, with a mass around the EeV scale, is a viable dark matter candidate.
  • The supersymmetric spectrum must lie above the inflationary mass scale (M_{SUSY} > 10^{13} GeV) to avoid overproduction.
  • This scenario predicts a reheating temperature between 10^{10} and 10^{12} GeV.

Conclusions:

  • High-scale supersymmetry breaking provides a consistent framework for a gravitino dark matter candidate.
  • The model's predictions for the supersymmetric spectrum and reheating temperature align with cosmological observations.
  • Further research can explore the implications of such high-scale supersymmetry breaking for other cosmological phenomena.