The neutrino self-energy in a magnetized medium
arXiv:0706.3921 · doi:10.1142/S0217732308028442
Abstract
In this work we calculate the neutrino self-energy in presence of a magnetized medium. The magnetized medium consists of electrons, positrons, neutrinos and a uniform classical magnetic field. The calculation is done assuming the background magnetic field is weak compared to the -Boson mass squared, as a consequence of which only linear order corrections in the field are included in the boson propagator. The electron propagator consists all order corrections in the background field. Although the neutrino self-energy in a magnetized medium in various limiting cases has been calculated previously in this article we produce the most general expression of the self-energy in absence of the Landau quantization of the charged gauge fields. We calculate the effect of the Landau quantization of the charged leptons on the neutrino self-energy in the general case. Our calculation is specifically suited for situations where the background plasma may be CP symmetric.
13 Pages, Latex file. Minor corrections included. To be published in Modern Physics Letters A
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