We propose UV complete (partially) composite Higgs models with compositeness scale up to the Planck scale assisted by a novel mechanism. This mechanism is based on softly breaking a global ${\mathbb{Z}}_2$ symmetry by technically natural small vacuum misalignment, dynamically triggering the electroweak symmetry breaking and Standard Model fermion mass generation. This mechanism can be present in various models based on vacuum misalignment. For concreteness, we demonstrate it in a minimal partially composite two-Higgs boson scheme, where the Higgs boson is a mixture of a composite and an elementary state, transforming odd under a ${\mathbb{Z}}_2$ symmetry. For this concrete model example, all dimensionful fundamental parameters are approximately $\mathcal{O}({10}^{18})\mathrm{GeV}$. We study the vacuum stability of this model by investigating the renormalization group running of the quartic coupling of the Higgs boson. Furthermore, the parameter space can already be searched by gravitational waves from a confinement-induced phase transition. Finally, the mass and mixing of the neutrinos may be naturally generated via loops of a second Higgs doublet transforming even under the ${\mathbb{Z}}_2$ symmetry, which may be challenged by lattice calculations and a more accurate measurement of the top mass.

• Received 7 March 2022
• Accepted 24 June 2022

DOI:https://doi.org/10.1103/PhysRevD.106.013002

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society