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We solved the little hierarchy problem using discrete symmetries. This approach also naturally produces light axions, offering a new particle physics solution.

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Area of Science:

  • High Energy Physics
  • Theoretical Physics
  • Particle Physics

Background:

  • The hierarchy problem, specifically the little hierarchy problem, concerns the large discrepancy between the electroweak scale and potential new physics scales.
  • Existing solutions often require fine-tuning or introduce complex theoretical structures.

Purpose of the Study:

  • To propose a novel solution to the hierarchy problem.
  • To investigate the role of nonlinearly realized discrete symmetries in particle physics.
  • To explore the potential for generating light axions within this framework.

Main Methods:

  • Utilizing nonlinearly realized discrete symmetries.
  • Analyzing symmetry realization as a shift symmetry on scalars.
  • Examining symmetry realization as an exchange symmetry on interacting particles.

Main Results:

  • Demonstrated cancellations that resolve the hierarchy problem.
  • Showed the mechanism effectively addresses the little hierarchy problem.
  • Established the framework's capability to produce light axions.

Conclusions:

  • Nonlinearly realized discrete symmetries offer a viable solution to the hierarchy problem.
  • This mechanism provides a natural origin for light axions.
  • The proposed solution presents a new avenue in theoretical particle physics research.