Abstract

We present a comprehensive study of the electroweak phase transition in composite Higgs models, where the Higgs arises from a new, strongly-coupled sector which confines near the TeV scale. This work extends our study in ref. [1]. We describe the confinement phase transition in terms of the dilaton, the pseudo-Nambu-Goldstone boson of broken conformal invariance of the composite Higgs sector. From the analysis of the joint Higgs-dilaton potential we conclude that in this scenario the electroweak phase transition can naturally be first-order, allowing for electroweak baryogenesis. We then extensively discuss possible options to generate a sufficient amount of CP violation — another key ingredient of baryogenesis — from quark Yukawa couplings which vary during the phase transition. For one such an option, with a varying charm quark Yukawa coupling, we perform a full numerical analysis of tunnelling in the Higgs-dilaton potential and determine regions of parameter space which allow for successful baryogenesis. This scenario singles out the light dilaton region while satisfying all experimental bounds. We discuss future tests. Our results bring new opportunities and strong motivations for electroweak baryogenesis.

Highlights

  • Which is spontaneously broken at the condensation scale to a subgroup H

  • We present a comprehensive study of the electroweak phase transition in composite Higgs models, where the Higgs arises from a new, strongly-coupled sector which confines near the TeV scale

  • Composite Higgs models with partial compositeness feature a tight interplay between electroweak symmetry breaking and flavour physics as the same interactions which generate the Higgs potential are responsible for the Yukawa couplings

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Summary

Review of key concepts

We will summarize the main concepts which we will adopt for our description of the phase transition and electroweak baryogenesis in composite Higgs models. These concepts represent a typical (though not the only possible) picture of composite Higgs models and their flavour structure, and have been motivated in a large amount of literature, of which we will only point out a few representative works. For general reviews of composite Higgs models [19], we refer the reader to [2, 20, 21]

Standard Model masses from anomalous dimensions
Higgs shift symmetry breaking
Conformal symmetry breaking
Scalar potential: matching two descriptions
Canonical variables
Parametric form of the scalar potential
Key properties of the two-field potential and preliminary analysis
Description at finite temperature
CP violation from varying Yukawa interactions
CP violation with hierarchical quark mixings
CP violation with non-hierarchical quark mixings
Numerical study
Parameter space
Details of the numerical study
Results: phase transition
Results: baryon asymmetry
Collider bounds and other experimental tests
Dilaton production
Flavour violation
Higgs couplings and CP violation
Gravitational waves
Conclusions
Findings
A Vacuum tunnelling
Full Text
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