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PreprintCC BY 4.0arXiv

Cosmological Consequences of a Highly Decoupled Right-handed Neutrino

Abstract

In the minimal type-I seesaw, one right-handed neutrino (RHN) can decouple from neutrino mass generation. Such a state is usually neglected, yet its feeble couplings make it long-lived, and it can dominate the energy density of the Universe before decaying. We study this in a minimal U(1)B−L model, where the RHNs are produced through B−L gauge interactions, for the cases of a decoupled lightest RHN N1 and a decoupled heaviest RHN N3. The resulting early matter-dominated era dilutes the baryon asymmetry, and for decoupled N3 it also delays the equilibration of the charged-lepton Yukawa interactions, allowing a lighter N1 to generate the asymmetry in the unflavoured regime. Breaking U(1)B−L forms cosmic strings whose gravitational-wave background acquires a spectral break from the early matter-dominated era, with a frequency set by the decoupled RHN mass and the lightest neutrino mass, within reach of future detectors such as SKA, THEIA, LISA, μARES, DECIGO and ET.

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BibTeX
@misc{king2026cosmological,
  title = {{Cosmological Consequences of a Highly Decoupled Right-handed Neutrino}},
  author = {Stephen F. King and Rishav Roshan and Sudipta Show},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18334},
  eprint = {2610.18334},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18334},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Cosmological Consequences of a Highly Decoupled Right-handed Neutrino
AU  - Stephen F. King
AU  - Rishav Roshan
AU  - Sudipta Show
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18334
UR  - https://arxiv.org/abs/2610.18334
AB  - In the minimal type-I seesaw, one right-handed neutrino (RHN) can decouple from neutrino mass generation. Such a state is usually neglected, yet its feeble couplings make it long-lived, and it can dominate the energy density of the Universe before decaying. We study this in a minimal U(1)_B−L model, where the RHNs are produced through B−L gauge interactions, for the cases of a decoupled lightest RHN N_1 and a decoupled heaviest RHN N_3. The resulting early matter-dominated era dilutes the baryon asymmetry, and for decoupled N_3 it also delays the equilibration of the charged-lepton Yukawa interactions, allowing a lighter N_1 to generate the asymmetry in the unflavoured regime. Breaking U(1)_B−L forms cosmic strings whose gravitational-wave background acquires a spectral break from the early matter-dominated era, with a frequency set by the decoupled RHN mass and the lightest neutrino mass, within reach of future detectors such as SKA, THEIA, LISA, μARES, DECIGO and ET.
ER  -