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PreprintCC BY 4.0arXiv

Gravitational Wave in an A4 ⊗ Z4 Neutrino Model with Generalised CP

  • Pulakesh Borah
  • Mrinal Kumar Das
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Abstract

We extend the Standard Model with an A4 × Z4 flavor symmetry and generalized CP (GCP) symmetry, realized through two flavon triplets that spontaneously break A4 and generate the observed lepton mixing pattern. A new A4-singlet flavon couples to one of these triplets through a complex quartic interaction that breaks GCP and fixes the reactor mixing angle; this same coupling biases the domain walls formed when that triplet breaks A4. A global fit to oscillation data reproduces all mixing angles and mass splittings, predicting a maximal Dirac CP phase of 270∘ and an effective Majorana mass near 15 meV, testable by upcoming neutrinoless double-beta-decay (0νββ) experiments. The same coupling generates a stochastic gravitational-wave background peaking in the pulsar-timing-array and LISA bands, with peak frequency and amplitude predicted to scale as sinθ13 and sin−4θ13, a falsifiable link between neutrino oscillation and gravitational-wave (GW) observations.

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Cite

BibTeXRIS
BibTeX
@misc{borah2026gravitational,
  title = {{Gravitational Wave in an $A_4 \otimes Z_4$ Neutrino Model with Generalised CP}},
  author = {Pulakesh Borah and Mrinal Kumar Das},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07661},
  eprint = {2609.07661},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07661},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Gravitational Wave in an A_4 ⊗ Z_4 Neutrino Model with Generalised CP
AU  - Pulakesh Borah
AU  - Mrinal Kumar Das
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07661
UR  - https://arxiv.org/abs/2609.07661
AB  - We extend the Standard Model with an A_4 × Z_4 flavor symmetry and generalized CP (GCP) symmetry, realized through two flavon triplets that spontaneously break A_4 and generate the observed lepton mixing pattern. A new A_4-singlet flavon couples to one of these triplets through a complex quartic interaction that breaks GCP and fixes the reactor mixing angle; this same coupling biases the domain walls formed when that triplet breaks A_4. A global fit to oscillation data reproduces all mixing angles and mass splittings, predicting a maximal Dirac CP phase of 270^∘ and an effective Majorana mass near 15 meV, testable by upcoming neutrinoless double-beta-decay (0νββ) experiments. The same coupling generates a stochastic gravitational-wave background peaking in the pulsar-timing-array and LISA bands, with peak frequency and amplitude predicted to scale as sinθ_13 and sin^−4θ_13, a falsifiable link between neutrino oscillation and gravitational-wave (GW) observations.
ER  -