TL;DR
This paper introduces a novel approach to the Hierarchy Problem using non-linearly realized discrete symmetries, which cancel divergences and can produce light axions, addressing both the Little Hierarchy Problem and axion phenomenology.
Contribution
It proposes a new mechanism employing discrete symmetries as shift and exchange symmetries to solve the Hierarchy Problem and generate light axions.
Findings
Discrete symmetry cancels divergences in scalar interactions.
Mechanism addresses the Little Hierarchy Problem.
Predicts the existence of light axions.
Abstract
We present a new solution to the Hierarchy Problem utilizing non-linearly realized discrete symmetries. The cancelations occur due to a discrete symmetry that is realized as a shift symmetry on the scalar and as an exchange symmetry on the particles with which the scalar interacts. We show how this mechanism can be used to solve the Little Hierarchy Problem as well as give rise to light axions.
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