The Axialvector-Vector Amplitude and Neutrino Effective Charge in a Magnetized Medium

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To one loop the effective neutrino photon interaction takes place through the vector-vector type and the axialvector-vector type amplitude. In this work we explicitly write down the form of the axialvector-vector amplitude to all orders in the external magnetic field in a medium. We then infer upon its zero external momentum limit which contributes to the effective charge of the neutrinos inside a magnetized medium. We further show its gauge invariance properties.
1 tex file. To be published in Phys.Rev. D

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