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Naturalness and the weak gravity conjecture.

Clifford Cheung1, Grant N Remmen1

  • 1Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA.

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|August 16, 2014
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Summary
This summary is machine-generated.

The weak gravity conjecture, a consistency condition for forces, is generalized to product gauge groups. This generalization reveals tensions with naturalness, potentially ruling out a natural electroweak scale in certain models.

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Area of Science:

  • High Energy Physics
  • Theoretical Physics
  • Quantum Gravity

Background:

  • The weak gravity conjecture (WGC) is an ultraviolet consistency condition for forces.
  • It states that an Abelian force requires a state with charge q and mass m satisfying q > m/m_Pl.

Purpose of the Study:

  • Generalize the weak gravity conjecture to product gauge groups.
  • Investigate the tension between the WGC and the naturalness principle for charged scalars coupled to gravity.

Main Methods:

  • Theoretical analysis of the weak gravity conjecture.
  • Study of models with product gauge groups and charged scalars.
  • Examination of the implications for naturalness and electroweak scale.

Main Results:

  • Reconciling naturalness with the WGC necessitates either a Higgs phase or a low cutoff scale (Λ∼qm_Pl).
  • Models without these conditions can forbid a natural electroweak scale.

Conclusions:

  • The study highlights a potential conflict between fundamental consistency conditions (WGC) and naturalness.
  • Observations supporting these models could challenge the validity of the naturalness principle for the electroweak scale.