Neutrino dispersion in external magnetic fields

Details Neutrino dispersion in external magnetic fields Neutrino dispersion in external magnetic fields

2005-05-11

arxiv.org/abs/hep-ph/0505092v2

Phys.Rev. D73 (2006) 023001; Erratum-ibid. D73 (2006) 029903

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 1 figure, revtex. Version to appear in Phys. Rev. D (presentation improved, reference list revised, numerical error i

Scientific paper

10.1103/PhysRevD.73.023001

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 \nu_\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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