Singlet-assisted electroweak phase transition at two loops

Abstract

We investigate the electroweak phase transition in the real-singlet extension of the Standard Model at two-loop level, building upon existing one-loop studies. We calculate the effective potential in the high-temperature approximation and detail the required resummations at two-loop order. In typical strong-transition scenarios, we find deviations of order 20% − 50% from one-loop results in transition strength and critical temperature for both one-and two-step phase transitions. For extremely strong transitions, the discrepancy with one-loop predictions is even larger, presumably due to sizable scalar couplings in the tree-level potential. Along the way, we obtain a dimensionallyreduced effective theory applicable for non-perturbative lattice studies of the model.

The Higgs Portal to Cosmology

“…6 and its Z 2 -symmetric version. Most studies of this system are based on perturbative calculations, while only very recently first non-perturbative analyses have appeared [308], [309], [342] showing significant limitations of the perturbative approach. This subject is also interesting in the context of gravitational wave detection [343].…”

Higher-order corrections to the bubble-nucleation rate at finite temperature

“…To improve convergence, and avoid large logarithms, it is useful to work with a dimensionally reduced theory in three dimensions. All temperature dependence is here contained in effective couplings [2][3][4]43,44,61,62]. Quantities like the latent heat, speed of sound, entropy density, and heat capacity are straightforward to calculate in the effective-field-theory framework.…”

“…Gravitational waves offer a new way to study primordial phase transitions. And the area is increasingly active [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] after the discovery of gravitational waves by the LIGO collaboration [21]. As such, much work is spent looking at the Electroweak phase transition.…”

Gravitational waves from first-order electroweak phase transition in a model with light sgoldstinos

“…Secondly, we truncate the perturbative expansion, keeping only the one-loop order terms, which imposes the dependence on the renormalization scale. The two-loop analysis of EWPT in a singlet-extended SM performed recently [49] has revealed that the two-loop corrections may change the values of the critical temperature and the latent heat by 20-50% (up to 100%) depending on the model. In respect to these issues, we refer to the recent review [50] for an extensive discussion of various theoretical uncertainties typical in investigations of the cosmological first order phase transitions.…”