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Agravity up to infinite energy.

Alberto Salvio1, Alessandro Strumia2

  • 11Theoretical Physics Department, CERN, Geneva, Switzerland.

The European Physical Journal. C, Particles and Fields
|July 2, 2019
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Summary
This summary is machine-generated.

Dimensionless gravity theories (agravity) can remain valid up to infinite energy. The conformal graviton decouples at high energies, preventing Landau poles and enabling a flow to conformal gravity, ensuring stable Higgs mass.

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Area of Science:

  • Theoretical physics
  • Quantum gravity
  • High-energy physics

Background:

  • Dimensionless gravity theories (agravity) are constrained by non-asymptotically free couplings.
  • The behavior of the conformal mode of the graviton at high energies is crucial for theory completeness.

Purpose of the Study:

  • To demonstrate that agravity can be a complete theory up to infinite energy.
  • To explore the conditions under which agravity flows to conformal gravity.
  • To identify scenarios that avoid unnaturally large Higgs mass corrections.

Main Methods:

  • Analysis of the self-interactions of the conformal graviton mode.
  • Investigating the behavior of couplings as energy approaches infinity.
  • Renormalization group analysis of dimensionless couplings and massive parameters.

Main Results:

  • Agravity can be valid to infinite energy if the conformal graviton decouples.
  • Decoupling occurs when scalar couplings are asymptotically conformally coupled and other couplings reach fixed points.
  • Scenarios are identified where the Higgs mass is not unnaturally large.
  • An equivalence between agravity and conformal gravity with extra scalars is established.

Conclusions:

  • Agravity can be a consistent theory up to infinite energy, flowing to conformal gravity.
  • The decoupling mechanism protects against Landau poles and ensures theoretical stability.
  • The findings offer insights into Higgs mass stability within modified gravity frameworks.