Vacuum structure and electroweak phase transition in singlet scalar dark matter

Abstract

In the presence of a real singlet scalar field with ${\mathbb{Z}}_2$ symmetry in addition to the Higgs field in the Standard Model, we analytically investigate all possible one-step and two-step electroweak phase transitions (EWPT) in the high-temperature expansion limit. In particular, we examine the possibility of a first-order phase transition in an intermediate temperature interval of the universe for two-step scenarios. In all scenarios, we provide with necessary conditions on the parameters of the model to address a first- or second-order phase transition if ever possible in the high-temperature approximation. We show that among all possible EWPT channels in this model, only the two-step phase transition $(0,0)\to (0,w)\to (v,0)$ can be of first-order type, either in the first or second step. The conditions obtained for EWPT is confronted with the dark matter (DM) and collider constraints. It is shown that the second-order one-step $(0,0)\to (v,0)$ scenario can evade the DM constraints, but it is not accessible to future colliders. The two-step first-order EWPT scenario $(0,0)\to (0,w)\to (v,0)$, except for small DM masses, is excluded by direct detection experiments XENON1T/LUX, but it is accessible in future colliders ILC/TLEP.

v2: 20 pages, 2 figures, section 4 on DM and collider constraints added

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• Triple Higgs boson production and electroweak phase transition in the two-real-singlet model
• Real Singlet Scalar Benchmarks in the Multi-TeV Resonance Regime
• Real effective potentials for phase transitions in models with extended scalar sectors