Trigonometric Parity for Composite Higgs Models.

Csaba Csáki,Teng Ma,Jing Shu

doi:10.1103/physrevlett.121.231801

Abstract

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 π/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.

Highlights

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 a combination of a π=2 rotation along a broken direction and a Higgs parity transformation
The top sector can be extended such that this Z2 remains intact, which ensures the cancelation of the quadratic divergences in the Higgs potential, yielding the simplest model of neutral naturalness

Summary

Trigonometric Parity for Composite Higgs Models

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. This Z2 is very efficient at softening the Higgs potential and eliminating most of the sources for tuning: in addition to canceling the quadratic divergences, it eliminates the so called double tuning leading to Higgs potentials with minimal tuning This Z2 relates the top to the twin top, which is SUð3Þc color neutral, evading the bounds from direct top partner searches [26,27,28]. In this Letter, we point out that the origin of the Z2 symmetry responsible for the cancelation of quadratic divergences in composite Higgs models with color neutral top partners can be traced back to a simple and very generic discrete symmetry of the internal manifold describing the coset space. For the gauge sector we will not assume a twin mechanism: in all TH models, 0031-9007=18=121(23)=231801(6)

Published by the American Physical Society

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