We identify trigonometric parity as the key ingredient behind models of neutral naturalness for the Higgs potential and show how to construct the minimal model realizing trigonometric parity. We show that any symmetric coset space readily includes such a trigonometric parity, which is simply a combination of a $\pi /2$ rotation along a broken direction and a Higgs parity transformation. The top sector can be extended such that this $Z_2$ remains intact, which ensures the cancelation of the quadratic divergences in the Higgs potential, yielding the simplest model of neutral naturalness.

• Received 5 April 2018
• Revised 19 August 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.231801

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Published by the American Physical Society