Cosmology of Supercooled Universe

preprint2022arXivOpen access

Abstract

First-order phase transitions (FOPTs) are ubiquitous in physics beyond the Standard Model (SM). Recently, models with no dimensionful parameters in the tree-level action have been attracting much attention because they can predict a very strong FOPT with ultra-supercooling. In this paper, we study the cosmological signatures of such a supercooling model. As a concrete model, we consider the SM with two additional real scalars ϕϕ and SS, which can realize the electroweak symmetry breaking via Coleman-Weinberg mechanism. One of the additional scalars SS can naturally become a Dark Matter (DM) candidate due to the Z2Z_2^{} symmetry of the action. We study the FOPT of this model and calculate the Gravitational Wave (GW) signals and the thermal relic abundance of SS taking the filtered effects into account. Within the envelope approximation, we find that the GW peak amplitude can reach ∼10−10\sim 10^{-10} around the frequency f∼10−3 f\sim 10^{-3}~Hz for model parameters (vϕ,λϕS)∼(200 TeV,1.6)(v_ϕ^{},λ_{ϕS}^{})\sim (200~{\rm TeV},1.6) where vϕv_ϕ^{} is the vacuum expectation value of ϕϕ and λϕSλ_{ϕS}^{} is the scalar mixing coupling. On the other hand, the filtered DM mechanism only works for 0.8≲λϕS≲10.8\lesssim λ_{ϕS}^{}\lesssim 1, where the GW peak amplitude is found to be quite small ≲10−17\lesssim 10^{-17}.

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