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PreprintCC BY 4.0arXiv

Can cosmic neutrinos induce a cosmic birefringence signal?

Abstract

A coupling of photons to the cosmic neutrino asymmetry current has been proposed to explain the hinted isotropic rotation of CMB polarization. Gauge invariant UV completions require a Kalb-Ramond field that is exactly dual to a massless axion. We show that, in this case, the product of the axion-photon coupling and the axion-neutrino current coupling is fixed by the signal, gaγ/fℓ=1/Λ*2 with Λ*≃10 TeV. Using SU(2)L gauge invariance we show that the dual axion couples to electrons as gaγgae=me/Λ*2≃5×10−12 GeV−1. This value is excluded by the measured electron magnetic moment combined with light-shining-through-a-wall searches, as well as by stellar evolution. Conserved anomaly-free currents may evade these bounds, but then either a contact interaction among SM fermions excludes the model, or the relic neutrinos decouple from the signal. We conclude that cosmic neutrinos cannot induce a birefringence signal.

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BibTeX
@misc{reig2026cosmic,
  title = {{Can cosmic neutrinos induce a cosmic birefringence signal?}},
  author = {Mario Reig},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07578},
  eprint = {2611.07578},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07578},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Can cosmic neutrinos induce a cosmic birefringence signal?
AU  - Mario Reig
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07578
UR  - https://arxiv.org/abs/2611.07578
AB  - A coupling of photons to the cosmic neutrino asymmetry current has been proposed to explain the hinted isotropic rotation of CMB polarization. Gauge invariant UV completions require a Kalb-Ramond field that is exactly dual to a massless axion. We show that, in this case, the product of the axion-photon coupling and the axion-neutrino current coupling is fixed by the signal, g_aγ/f_ℓ=1/Λ_*^2 with Λ_*≃10 TeV. Using SU(2)_L gauge invariance we show that the dual axion couples to electrons as g_aγg_ae=m_e/Λ_*^2≃5×10^−12 GeV^−1. This value is excluded by the measured electron magnetic moment combined with light-shining-through-a-wall searches, as well as by stellar evolution. Conserved anomaly-free currents may evade these bounds, but then either a contact interaction among SM fermions excludes the model, or the relic neutrinos decouple from the signal. We conclude that cosmic neutrinos cannot induce a birefringence signal.
ER  -