Technically natural Higgs boson from Planck scale

Abstract

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 scheme, where the Higgs is a mixture of a composite and an elementary state, transforming odd under an ${\mathbb{Z}}_2$ symmetry. For this concrete model example, all the dimensionful fundamental parameters are approximately $\mathcal{O}(10^{18})$ GeV. We study the vacuum stability of this model by investigating the renormalization group running of the quartic coupling of the Higgs. 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.

13 pages, 5 figures, 2 tables

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• Symmetries and Strings in Field Theory and Gravity
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• Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond
• Dynamics of Electroweak Phase Transition In Singlet-Scalar Extension of the Standard Model
• Quantum gravity and Standard-Model-like fermions
• Fundamental partial compositeness
• UV complete composite Higgs models
• A UV complete partially composite-pNGB Higgs
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• Constraints on Global Symmetry Breaking in Quantum Gravity from Cosmic Birefringence Measurements

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• A Scotogenic Model as a Prototype for Leptogenesis with One Single Gauge Singlet
• The Decomposition of Neutron-Antineutron Oscillation Operators