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PreprintCC BY 4.0arXiv

Electroweak Thermal Histories in the Minimal Type-II Seesaw Model with a Renormalization Group-Improved Effective Potential

Abstract

We study electroweak thermal histories in the minimal type-II seesaw model with a renormalization group-improved finite-temperature effective potential. The commonly used criterion vc/Tc>1, with vc the broken-phase field at the critical temperature Tc, applied to every first-order degeneracy of the neutral-field phase structure in our survey, does not identify a strong electroweak phase transition. Treating those degeneracies as completed transitions would assign them a gravitational-wave signal they have not been shown to produce. Transitions that do nucleate, percolate and complete are found for the model. They are weak and fast, too weak on the standard sphaleron estimate to protect a baryon asymmetry from washout. Their sound wave spectra lie far below the sensitivity of planned space detectors. Their properties depend strongly on the renormalization group improvement and on the renormalization scale.

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BibTeX
@misc{chiang2026electroweak,
  title = {{Electroweak Thermal Histories in the Minimal Type-II Seesaw Model with a Renormalization Group-Improved Effective Potential}},
  author = {Cheng-Wei Chiang},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01634},
  eprint = {2611.01634},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01634},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Electroweak Thermal Histories in the Minimal Type-II Seesaw Model with a Renormalization Group-Improved Effective Potential
AU  - Cheng-Wei Chiang
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01634
UR  - https://arxiv.org/abs/2611.01634
AB  - We study electroweak thermal histories in the minimal type-II seesaw model with a renormalization group-improved finite-temperature effective potential. The commonly used criterion v_c/T_c>1, with v_c the broken-phase field at the critical temperature T_c, applied to every first-order degeneracy of the neutral-field phase structure in our survey, does not identify a strong electroweak phase transition. Treating those degeneracies as completed transitions would assign them a gravitational-wave signal they have not been shown to produce. Transitions that do nucleate, percolate and complete are found for the model. They are weak and fast, too weak on the standard sphaleron estimate to protect a baryon asymmetry from washout. Their sound wave spectra lie far below the sensitivity of planned space detectors. Their properties depend strongly on the renormalization group improvement and on the renormalization scale.
ER  -