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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Pseudo-Nambu-Goldstone inflation with ZN symmetric waterfall fields

  1. 1Chung-Ang University
  2. 2Deutsches Elektronen-Synchrotron DESY

Abstract

A bstract : We propose a hybrid inflation model where a pseudo-Nambu-Goldstone boson inflaton couples to N waterfall scalar fields respecting a Z N symmetry. We identify the phases for the inflation and the consequent waterfall transition, concretely, in Z ₂ , Z ₃ and Z ₄ cases. From the Coleman-Weinberg potential for the inflaton, we show that the quadratically divergent corrections coming from the waterfall sector are cancelled due to the Z N symmetry, while the logarithmically divergent corrections are absent only for N > 2, ensuring the radiative stability of the inflaton potential. We show the parameter space for a successful inflation with the loop-corrected inflaton potential in each model and compare the results between different discrete symmetries. We further analyze the vacuum structure of the models and the reheating process due to the Z N -invariant Higgs-portal couplings for the waterfall fields. We find that the maximum temperature can be smaller than the mass of the waterfall field condensate such that the Z N symmetry is not restored after reheating and there is no domain wall problem in the models. We also comment on the possibility of multi-component dark matter from the Z N partners of the waterfall field condensate.

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BibTeX
@article{lee2026pseudonambugoldstone,
  title = {{Pseudo-Nambu-Goldstone inflation with ZN symmetric waterfall fields}},
  author = {Hyun Min Lee and Adriana G. Menkara},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)222},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)222},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Pseudo-Nambu-Goldstone inflation with ZN symmetric waterfall fields
AU  - Hyun Min Lee
AU  - Adriana G. Menkara
PY  - 2026
DA  - 2026/10/21
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)222
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)222
AB  - A bstract : We propose a hybrid inflation model where a pseudo-Nambu-Goldstone boson inflaton couples to N waterfall scalar fields respecting a Z N symmetry. We identify the phases for the inflation and the consequent waterfall transition, concretely, in Z ₂ , Z ₃ and Z ₄ cases. From the Coleman-Weinberg potential for the inflaton, we show that the quadratically divergent corrections coming from the waterfall sector are cancelled due to the Z N symmetry, while the logarithmically divergent corrections are absent only for N > 2, ensuring the radiative stability of the inflaton potential. We show the parameter space for a successful inflation with the loop-corrected inflaton potential in each model and compare the results between different discrete symmetries. We further analyze the vacuum structure of the models and the reheating process due to the Z N -invariant Higgs-portal couplings for the waterfall fields. We find that the maximum temperature can be smaller than the mass of the waterfall field condensate such that the Z N symmetry is not restored after reheating and there is no domain wall problem in the models. We also comment on the possibility of multi-component dark matter from the Z N partners of the waterfall field condensate.
SN  - 1029-8479
ER  -