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Crunching Dilaton, Hidden Naturalness.

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This study proposes a new solution to the Higgs naturalness problem by mixing the Higgs boson with a dilaton from a conformal field theory (CFT) sector. This mechanism predicts a detectable dilaton particle, offering new avenues for experimental physics research.

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Area of Science:

  • High Energy Physics
  • Cosmology
  • Quantum Field Theory

Background:

  • The Higgs naturalness problem questions why the Higgs boson's mass is so much smaller than the Planck scale.
  • Conformal Field Theory (CFT) provides a framework for understanding scale invariance and vacuum structure.
  • Negative vacuum energy in a CFT sector can lead to unusual cosmological scenarios.

Purpose of the Study:

  • To propose a novel theoretical mechanism addressing the Higgs naturalness problem.
  • To explore the cosmological implications of a Higgs-CFT sector interaction.
  • To identify experimental signatures of the proposed model.

Main Methods:

  • Introducing a mixing between the Higgs field and the dilaton of a CFT sector.
  • Analyzing the vacuum structure and stability of the combined system.
  • Investigating the cosmological evolution in the presence of a metastable CFT vacuum.

Main Results:

  • A mechanism is presented where a non-zero Higgs vacuum expectation value (VEV) below O(TeV) can stabilize the universe.
  • The model predicts the existence of a second, metastable vacuum in the CFT sector.
  • Hubble patches with small Higgs masses are predicted to avoid immediate collapse.

Conclusions:

  • The proposed Higgs-dilaton mixing offers a potential solution to the naturalness problem.
  • The primary experimental prediction is a dilaton particle in the 0.1-10 GeV range, detectable at colliders.
  • This work opens new directions for searching for new physics at the intersection of particle physics and cosmology.