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Neutrino dispersion in external magnetic fields

A. V. Kuznetsov·N. V. Mikheev·G. G. Raffelt·L. A. Vassilevskaya
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Abstract

We calculate the neutrino self-energy operator Sigma (p) in the presence of a magnetic field B. In particular, we consider the weak-field limit e B << m_\ell^2, where m_\ell is the charged-lepton mass corresponding to the neutrino flavor ν_\ell, and we consider a "moderate field" m_\ell^2 << e B << m_W^2. Our results differ substantially from the previous literature. For a moderate field, we show that it is crucial to include the contributions from all Landau levels of the intermediate charged lepton, not just the ground-state. For the conditions of the early universe where the background medium consists of a charge-symmetric plasma, the pure B-field contribution to the neutrino dispersion relation is proportional to (e B)^2 and thus comparable to the contribution of the magnetized plasma.

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A. V. Kuznetsov, N. V. Mikheev, G. G. Raffelt, L. A. Vassilevskaya. 2005-12-13. Neutrino dispersion in external magnetic fields. https://doi.org/10.1103/physrevd.73.023001%2010.1103%2Fphysrevd.73.029903

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