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PreprintCC BY 4.0arXiv

Quantum field theory treatment of the spin-flavor precession of Dirac neutrinos with diagonal magnetic moments

  • Maxim Dvornikov
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Abstract

We apply the quantum field theory (QFT) approach to describe the spin-flavor precession of Dirac neutrinos. The magnetic moments matrix of these neutrinos is taken to be diagonal in the mass basis. Neutrino mass eigenstates are considered to be virtual particles in the QFT approach. The neutrino contribution to the matrix element of the overall process, which includes the emission, the propagation and the detection of neutrinos, is contained in the propagators of massive neutrinos. Using the recently derived propagator of a massive neutrino, which exactly accounts for the magnetic moment interaction, we derive the transition probability of the process νeL→νμL under the influence of a magnetic field. The result is compared with the prediction of the standard quantum mechanical (QM) approach. We briefly discuss the possibility to derive the QFT corrections to the QM expressions.

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Cite

BibTeXRIS
BibTeX
@misc{dvornikov2026quantum,
  title = {{Quantum field theory treatment of the spin-flavor precession of Dirac neutrinos with diagonal magnetic moments}},
  author = {Maxim Dvornikov},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.06643},
  eprint = {2611.06643},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.06643},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum field theory treatment of the spin-flavor precession of Dirac neutrinos with diagonal magnetic moments
AU  - Maxim Dvornikov
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.06643
UR  - https://arxiv.org/abs/2611.06643
AB  - We apply the quantum field theory (QFT) approach to describe the spin-flavor precession of Dirac neutrinos. The magnetic moments matrix of these neutrinos is taken to be diagonal in the mass basis. Neutrino mass eigenstates are considered to be virtual particles in the QFT approach. The neutrino contribution to the matrix element of the overall process, which includes the emission, the propagation and the detection of neutrinos, is contained in the propagators of massive neutrinos. Using the recently derived propagator of a massive neutrino, which exactly accounts for the magnetic moment interaction, we derive the transition probability of the process ν_eL→ν_μL under the influence of a magnetic field. The result is compared with the prediction of the standard quantum mechanical (QM) approach. We briefly discuss the possibility to derive the QFT corrections to the QM expressions.
ER  -