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Trigonometric Parity for Composite Higgs Models.

Csaba Csáki1, Teng Ma2, Jing Shu2,3,4,5

  • 1Department of Physics, LEPP, Cornell University, Ithaca, New York 14853, USA.

Physical Review Letters
|December 22, 2018
PubMed
Summary
This summary is machine-generated.

We discovered trigonometric parity is crucial for neutral naturalness models of the Higgs potential. This leads to the simplest model that cancels quadratic divergences, ensuring Higgs potential stability.

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Area of Science:

  • Particle Physics
  • High Energy Physics
  • Theoretical Physics

Background:

  • The Higgs potential is subject to quadratic divergences in the Standard Model.
  • Neutral naturalness models aim to resolve these divergences without introducing new colored particles.
  • Existing models often require complex constructions or fine-tuning.

Purpose of the Study:

  • To identify the fundamental principle enabling neutral naturalness models.
  • To construct the minimal model that realizes this principle for the Higgs potential.
  • To ensure the cancellation of quadratic divergences in the Higgs potential.

Main Methods:

  • Identification of trigonometric parity as a key symmetry.
  • Construction of a minimal model based on symmetric coset spaces.
  • Incorporation of a π/2 rotation and Higgs parity transformation.
  • Extension of the top sector to preserve the Z_{2} symmetry.

Main Results:

  • Trigonometric parity is identified as the essential component for neutral naturalness.
  • A minimal model realizing trigonometric parity is successfully constructed.
  • Symmetric coset spaces inherently contain the required trigonometric parity.
  • The Z_{2} symmetry, crucial for canceling divergences, is maintained through top sector extension.

Conclusions:

  • Trigonometric parity provides a simple and elegant solution for neutral naturalness.
  • The constructed minimal model offers the simplest realization of these principles.
  • This approach effectively cancels quadratic divergences, stabilizing the Higgs potential.