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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Gravitational waves in an A4 neutrino mass model

  1. 1University of California

Abstract

The A4 flavor symmetry has provided tremendous insight into the flavor structure of the lepton sector of the Standard Model, predicting a very good approximation to neutrino mixing angles called tri-bimaximal mixing (TBM). A4 is spontaneously broken by a scalar called the flavon, and when this happens a number of degenerate vacua can form, resulting in so-called domain walls. These objects are not observed and hence need to be annihilated. This is usually done by explicitly breaking A4 by adding a bias term to the scalar potential. In this paper, we construct a new model invariant under A4 × ℤ4 which creates cosmologically viable domain walls, lifts the degeneracy of the vacuum giving a natural mechanism for domain walls to annihilate, as well as predicts realistic neutrino mixing angles; all utilizing cross couplings between flavons. The annihilation of the domain walls, with proper choice of wall tension and the consequent bias term, leads to a gravitational wave signal that is potentially detectable in near future gravitational wave experiments, and interestingly intersects with the observed Pulsar Timing Array signal.

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BibTeX
@article{chen2026gravitational,
  title = {{Gravitational waves in an A4 neutrino mass model}},
  author = {Mu-Chun Chen and Harold J. Matias and Cameron Moffett-Smith},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)052},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)052},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Gravitational waves in an A4 neutrino mass model
AU  - Mu-Chun Chen
AU  - Harold J. Matias
AU  - Cameron Moffett-Smith
PY  - 2026
DA  - 2026/11/05
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)052
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)052
AB  - The A4 flavor symmetry has provided tremendous insight into the flavor structure of the lepton sector of the Standard Model, predicting a very good approximation to neutrino mixing angles called tri-bimaximal mixing (TBM). A4 is spontaneously broken by a scalar called the flavon, and when this happens a number of degenerate vacua can form, resulting in so-called domain walls. These objects are not observed and hence need to be annihilated. This is usually done by explicitly breaking A4 by adding a bias term to the scalar potential. In this paper, we construct a new model invariant under A4 × ℤ4 which creates cosmologically viable domain walls, lifts the degeneracy of the vacuum giving a natural mechanism for domain walls to annihilate, as well as predicts realistic neutrino mixing angles; all utilizing cross couplings between flavons. The annihilation of the domain walls, with proper choice of wall tension and the consequent bias term, leads to a gravitational wave signal that is potentially detectable in near future gravitational wave experiments, and interestingly intersects with the observed Pulsar Timing Array signal.
SN  - 1029-8479
ER  -