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arXiv · 1906.02369

Magnetic field effects on neutrino oscillations

Andrea Erdas·Zachary Metzler
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Abstract

Using the exact propagators in a constant magnetic field, the neutrino self-energy has been calculated to all orders in the field strength $B$ within the minimal extension of the Weinberg-Salam model with massive Dirac neutrinos. A neutrino dispersion relation, effective potential and effective mass have been obtained that depend on $B$. The consequences of this effective potential on neutrino oscillations have been explored, and resonance conditions have been obtained for magnetic fields $0<eB \le 4m^2_e$, where $e$ is the elementary charge and $m_e$ is the electron mass. The oscillation length has also been obtained, showing that $\nu_e$-$\nu_\mu$ resonant oscillations in magnetic field are likely to occur in the proximity of most stars generating high magnetic fields.

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Andrea Erdas, Zachary Metzler. 2019-06-06. Magnetic field effects on neutrino oscillations. https://doi.org/10.1142/s0217751x19501215

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