Sphaleron in the first-order electroweak phase transition with the dimension-six Higgs field operator
| Autor: | Ngo Phuc Duc Loc, Vo Quoc Phong, Phan Hong Khiem, Hoang Ngoc Long |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Physical Review |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.101.116010 |
| Popis: | By adding the dimension-six operator for the Higgs potential (denoted $\mathcal{O}_6$) in Standard Model, we have a first-order electroweak phase transition (EWPT) whose strength is larger than unity. The cutoff parameter of the dimension-six Higgs operator ($\Lambda$) is found to be in the range 593-860 GeV with the Wilson parameter equals to unity; it is also shown that the greater the $\Lambda$, the lower the phase transition strength and the larger the Wilson parameter, the wider the domain of $\Lambda$. At zero temperature, the sphaleron energy is calculated with a smooth ansatz and an ansatz with scale-free parameters, thereby we find that smooth profiles are not more accurate than profiles with scale-free parameters. Then, using the one-loop effective Higgs potential with the inclusion of $\mathcal{O}_6$ instead of all possible dimension-six operators, we directly calculate the electroweak sphaleron energy at finite temperature with the scale-free parameters ansatz and show that the decoupling condition is satisfied during the phase transition. Moreover, we can reevaluate the upper bound of the cutoff scale inferred from the first-order phase transition. In addition, with the upper bound of the cutoff parameter (about 800-860 GeV), EWPT is a solution to the energy scale of the dimension-six operators. There is an extended conclusion that EWPT can only be solved at a large energy scale than that of SM. Comment: 34 pages, 7 figures. We would like to thank all comments (of Amine Ahriche, Jorinde van de Vis, Carlos Tamarit, Michael Spannowsky, Mikael Chala, Graham White, Jordy de Vries) for arxiv:2003.09625v1 and the comments of the reviewer for DQ12720-Phong; matches journal version (PRD) |
| Databáze: | OpenAIRE |
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