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PreprintCC BY 4.0arXiv

Gravitational waves in the complex-singlet-extended Manohar-Wise model

Abstract

We investigate cosmological phase transitions and stochastic gravitational-wave signals in the Manohar-Wise model extended by a complex scalar singlet. Spontaneous breaking of a discrete Z3 symmetry produces domain walls, whose subsequent annihilation is driven by a small explicit symmetry-breaking bias. Subject to theoretical and experimental constraints, we study two thermal histories: a one-step strong first-order electroweak phase transition satisfying the baryon-number preservation criterion, and a two-step history whose first transition is a first-order transition along the singlet direction, leaving electroweak symmetry unbroken. We estimate the gravitational-wave contributions from sound waves, magnetohydrodynamic turbulence, and domain-wall annihilation. Within the adopted approximations, the phase-transition signals of the selected benchmarks peak at approximately 10^-3 -10^-2 Hz and overlap the projected sensitivity regions of space-based observatories such as LISA, TianQin, and BBO. Choosing the vacuum-energy bias to fix the domain-wall peak at approximately 2x10^-9 Hz, we find that the larger domain-wall tensions of the two-step benchmarks yield signals reaching the projected SKA sensitivity, whereas the one-step sample remains below the pulsar-timing sensitivities considered. These results illustrate the complementarity of millihertz and nanohertz gravitational-wave observations in probing phase transitions and discrete-symmetry breaking in this model.

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BibTeX
@misc{mei2026gravitational,
  title = {{Gravitational waves in the complex-singlet-extended Manohar-Wise model}},
  author = {Benhong Mei and Yabo Dong and Jun Fan and Jingya Zhu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.39781},
  eprint = {2609.39781},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.39781},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Gravitational waves in the complex-singlet-extended Manohar-Wise model
AU  - Benhong Mei
AU  - Yabo Dong
AU  - Jun Fan
AU  - Jingya Zhu
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.39781
UR  - https://arxiv.org/abs/2609.39781
AB  - We investigate cosmological phase transitions and stochastic gravitational-wave signals in the Manohar-Wise model extended by a complex scalar singlet. Spontaneous breaking of a discrete Z3 symmetry produces domain walls, whose subsequent annihilation is driven by a small explicit symmetry-breaking bias. Subject to theoretical and experimental constraints, we study two thermal histories: a one-step strong first-order electroweak phase transition satisfying the baryon-number preservation criterion, and a two-step history whose first transition is a first-order transition along the singlet direction, leaving electroweak symmetry unbroken. We estimate the gravitational-wave contributions from sound waves, magnetohydrodynamic turbulence, and domain-wall annihilation. Within the adopted approximations, the phase-transition signals of the selected benchmarks peak at approximately 10^-3 -10^-2 Hz and overlap the projected sensitivity regions of space-based observatories such as LISA, TianQin, and BBO. Choosing the vacuum-energy bias to fix the domain-wall peak at approximately 2x10^-9 Hz, we find that the larger domain-wall tensions of the two-step benchmarks yield signals reaching the projected SKA sensitivity, whereas the one-step sample remains below the pulsar-timing sensitivities considered. These results illustrate the complementarity of millihertz and nanohertz gravitational-wave observations in probing phase transitions and discrete-symmetry breaking in this model.
ER  -