Abstract
In this work, we perform the electroweak phase transition study with the Georgi-Machacek model. We investigate both the one-step and two-step strong first order electroweak phase transition (SFOEWPT). The SFOEWPT viable parameter spaces could be tested by the future 14TeV LHC, HL-LHC, and ILC. The LHC Higgs signal strength measurements severely bound the SFOEWPT valid parameter spaces, a tinny region of the mixing angle between the neutral fields of the isospin-doublet and isospin-triplet scalars around α ∼ 0 can allow the two-step SFOEWPT to occur. The triplet vacuum expectation value (VEV) is crucial for both SFOEWPT and related Higgs phenomenology. The two-step SFOEWPT can be distinguished from the one-step SFOEWPT through the triple Higgs coupling searches and the low mass doubly charged Higgs searches at colliders.
Highlights
Another crucial ingredient is the strongly first order electroweak phase transition (SFOEWPT) that prevents the sphaleron process washing out the baryon asymmetry, which naturally provide an explanation of symmetry breaking as the Universe temperature cools down and could be tested at colliders [3]
The interaction strength of the SM vector bosons and the doubly- and singly-charged Higgs bosons of the quintuple is controlled by the vacuum expectation value (VEV) of the triplets, which can be probed through the charged Higgs searches [20,21,22]
We first study the general feature of the strong first order electroweak phase transition (SFOEWPT) in the GW model, which will reveal the relation between the triplet VEV and the SFOEWPT condition after considering the current and the projected experimental constraints: a lower magnitude of the triplet VEV is favored by both one-step and two-step SFOEWPT
Summary
The most general scalar potential V (Φ, ∆) invariant under SU(2)L × SU(2)R × U(1)Y is given by. The P matrix, which is the similarity transformation relating the generators in the triplet and the adjoint representations, is given by. After diagonalizing the mass matrices, the fields can be rewritten as the physical scalars (quintuple, triplet and singlet respectively). And α is the mixing angle between two singlets which is determined by the mass matrix of these scalars as will be shown below. The 3 goldstone bosons eventually become the longitudinal components of the W and Z bosons, while, the remaining 10 physical fields can be organized into a quintuple H5 = (H5++, H5+, H50, H5−, H5−−)T , a triplet H3 = (H3+, H30, H3−)T and two singlets h and H1, where the former (h) is used to denote the SM-like Higgs boson.
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