# Generating a Higgs Quartic

## TL;DR

This paper introduces a simple mechanism to generate a Higgs quartic in composite Higgs models, avoiding a quadratic term, by using Higgs-dependent kinetic mixing, and applies it to Twin Higgs models for a natural Higgs potential.

## Contribution

It proposes a novel Higgs quartic generation mechanism via kinetic mixing, applicable to composite and Twin Higgs models, ensuring naturalness and minimal $Z_2$ breaking.

## Key findings

- The mechanism produces a Higgs quartic without a quadratic term.
- It can be embedded in models with maximal symmetry and Twin Higgs frameworks.
- The resulting models have a fully natural and realistic Higgs potential.

## Abstract

We present a simple mechanism for generating a Higgs quartic in composite Higgs models without a corresponding quadratic term. The extra quartic will originate from a Higgs dependent kinetic mixing between additional fermionic states. The mechanism can be naturally embedded to models with maximal symmetry as well as Twin Higgs models. The resulting Twin Higgs models will have a fully natural realistic Higgs potential, where the quartic mechanism will serve as the only source for the $Z_2$ breaking, while the top and gauge sectors can remain exactly $Z_2$ invariant.