Strong Supercooling as a Consequence of Renormalization Group Consistency

Abstract

Classically scale-invariant models are attractive not only because they may offer a solution to the long-standing gauge hierarchy problem, but also due to their role in facilitating strongly supercooled cosmic phase transitions. In this paper, we investigate the interplay between these two aspects. We do so in the context of the electroweak phase transition (EWPT) in the minimal scale-invariant theory. We find that the amount of supercooling generally decreases for increasing scalar couplings. However, the stabilization of the electroweak scale against the Planck scale requires the absence of Landau poles in the respective energy range. Scalar couplings at the TeV scale can therefore not become larger than $\mathcal{O}(10^{-1})$. As a consequence, all fully consistent parameter points predict the EWPT not to complete before the QCD transition, which then eventually triggers the generation of the electroweak scale. We also discuss the potential of the model to give rise to an observable gravitational wave signature, as well as the possibility to accommodate a dark matter candidate.

arXiv comment12 pages, 2 figures, matches version published in JHEP

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• Testing the dark SU(N) Yang-Mills theory Confined Landscape: From the Lattice to Gravitational Waves
• Primordial Black Holes from Supercooled Phase Transitions
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• Supercooling in Radiative Symmetry Breaking: Theory Extensions, Gravitational Wave Detection and Primordial Black Holes
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• Scale-genesis by Dark Matter and Its Gravitational Wave Signal
• Cosmology of Supercooled Universe
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• Bubble Trouble: a Review on Electroweak Baryogenesis
• Dark matter and Standard Model reheating from conformal GUT inflation
• Leptogenesis with perturbations in type-II and type-III seesaw models