Abstract
We study the general NMSSM with an emphasis on the parameter regions with a very strong first-order electroweak phase transition (EWPT). In the presence of heavy fields coupled to the Higgs sector, the analysis can be problematic due to the existence of sizable radiative corrections. In this paper we propose a subtraction scheme that helps to circumvent this problem. For simplicity we focus on a parameter region that is by construction hidden from the current collider searches. The analysis proves that (at least) in the identified parameter region the EWPT can be very strong and striking gravitational wave signals can be produced. The corresponding gravitational stochastic background can potentially be detected at the planned space-based gravitational wave observatory eLISA, depending on the specific experiment design that will be approved.
Highlights
First-order phase transitions can establish testable links between cosmology and particle physics. This is interesting for the electroweak phase transition (EWPT) that relates to the properties of the Higgs sector which is currently tested at the LHC
We studied the electroweak phase transition in the general next-to-minimal supersymmetric extension of the SM (NMSSM)
We found new regions in parameter space with very strong first-order electroweak phase transitions
Summary
First-order phase transitions can establish testable links between cosmology and particle physics. The aim is to identify the parameter region with a very strong EWPT along the lines of the potential (2) That this is possible is not guaranteed, since, as stated above, supersymmetry implies constraints between different couplings of the model, and predicts new particles whose phenomenology may be in conflict with experimental limits. To accommodate these limits, some fields need to be heavy and their radiative corrections must be kept under control to avoid the destabilization of the tree-level results.
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