In spite of the vast literature on the subject of first order Electroweak Phase Transitions (EWPT), which can provide the necessary conditions for generating the Baryon Asymmetry in the Universe, fermion-induced EWPTs still remain a rather uncharted territory. In this paper, we consider a simple fermionic extension of the Standard Model involving one SU (2) L doublet and two SU (2) L singlet Vector-Like Leptons, strongly coupled to the Higgs scalar and with masses close to the TeV scale. We show how such a simple scenario can give rise to a non-trivial thermal history of the Universe, involving strongly first order multistep phase transitions occurring at temperatures close to the electroweak scale. Finally, we investigate the distinct Gravitational Wave (GW) signatures of these phase transitions at future space-based GW detectors, such as LISA, DECIGO, and BBO, and briefly discuss the possible LHC signatures of the VLLs.
IntroductionThe origin of the baryon asymmetry in the Universe (BAU), which is also known as the matter-antimatter asymmetry, is one of the most outstanding problems in modern cosmology. Baryogenesis is an appealing scenario of generating the matter-antimatter asymmetry dynamically. In 1967, Sakharov enunciated three conditions for a successful baryogenesis: baryon number violation, C and CP violation, and a departure from the thermal equilibrium [1].Of particular interest for this work is the third condition, departure from thermal equilibrium, which can only be met if the Universe underwent a strongly first order phase transition (SFOPT) in its early stages. While there is no indication about the energy scale at which it happened, an attractive possibility would be that such a phase transition (PT) occurred around the Electroweak (EW) scale. Indeed, it is beyond any doubt that EW symmetry was broken at some point in the history of the Universe, and a straightforward possibility would be that the PT responsible for baryogenesis took place when EW symmetry was broken.As any cosmological PT, an Electroweak phase transition (EWPT) would generate a stochastic GW background sourced in the collision of nucleating bubbles and the plasma motion induced by bubble collisions. In the specific case of a strong EWPT, it is expected that, due to redshift, the GW signal would nowadays peak at frequencies around the mHz-dHz range [2]. Interestingly, this frequency range overlaps with the frequency ranges which future space-based interferometers, such as LISA [2], DECIGO [3], and BBO [4], will be most sensitive to. Discovering such a gravitational wave signal would establish the EWPT as a new milestone in our understanding of the early universe.In the Standard Model (SM), electroweak symmetry breaking (EWSB) would proceed via a smooth crossover unless the Higgs mass is below ∼ 70 GeV [5,6]. Therefore, the discovery of the SM Higgs boson with a mass m h = 125 GeV [7,8] meant that the SM alone cannot satisfy the third Sakharov condition, i.e. departure from thermal equilibrium. 1 Consequently, the problem of stro...