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Area of Science:

  • Cosmology
  • Particle Physics
  • Quantum Field Theory

Background:

  • The stability of the electroweak vacuum during cosmic inflation is debated, especially with high inflationary scales suggested by BICEP2 observations.
  • Large quantum fluctuations during inflation could destabilize the vacuum if the Higgs field is not adequately protected.

Purpose of the Study:

  • To investigate the stability of the Standard Model Higgs effective potential during inflation, considering UV-induced curvature corrections.
  • To analyze the impact of the nonminimal coupling parameter (ξ) on vacuum stability at high inflationary scales.

Main Methods:

  • One-loop computation of the Standard Model Higgs effective potential.
  • Inclusion of ultraviolet-induced curvature corrections.
  • Analysis of renormalization group running for the nonminimal coupling (ξ).

Main Results:

  • A significant curvature mass is generated at high inflationary scales due to the running of the nonminimal coupling (ξ).
  • Vacuum stabilization occurs for ξEW≳6×10⁻², while destabilization happens for ξEW≲2×10⁻² when the curvature mass is negative.
  • A narrow intermediate region exists where the curvature mass effect is minimal.

Conclusions:

  • The stability of the electroweak vacuum during inflation is highly sensitive to the nonminimal coupling (ξ) and the inflationary scale.
  • The generated curvature mass plays a crucial role in either stabilizing or destabilizing the Higgs potential.
  • Precise measurements of the inflationary scale and nonminimal coupling are essential for understanding vacuum stability.