We study the impact of QCD axion strings in the cosmological history of electroweak (EW) symmetry breaking, focussing on the minimal KSVZ axion model. We consider the case of the pure SM Higgs potential as well as a simple scenario with a first order EW phase transition. We capture the effect of the Peccei-Quinn (PQ) sector within an effective-theory approach for the Higgs field, where the axion string core and the heavy PQ states are integrated out. The relevant parameters in this effective theory are controlled by the size of the portal coupling between the Higgs and the PQ scalar, and the mass of the PQ radial excitation. We determine the range of portal couplings for which the axion strings can strongly affect the dynamics of EW symmetry breaking. In the case of a first order EW phase transition, the strings can act as seeds by either catalyzing the nucleation of (non-spherical) bubbles, or leading to the completion of the phase transition by triggering a classical instability.
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List of changes
- Added footnote 4 on the naturalness of the PQ-Higgs portal - Expanded discussion on the phenomenological implications of the Higgs condensate inside the string (end of section 4) - Comment added on the possible modifications for the DFSZ model (section 6) - Comment added on the connection between the PQ-Higgs portal and the metastability of the SM vacuum (section 6)
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Report #2 by
Anonymous
(Referee 2) on 2024-11-20
(Invited Report)
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The authors have responded constructively to the comments. The work is ready for publication.
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Report #1 by
Anonymous
(Referee 1) on 2024-10-24
(Invited Report)
Report
The Authors have answered to the comments and I recommend the publication of the article.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)