General amplitude of the n - vertex one-loop process in a strong magnetic field
Kuznetsov, A. V. · Mikheev, N. V. · Rumyantsev, D. A.
Original · EN
A general analysis of the n-vertex loop amplitude in a strong magnetic field is performed, based on the asymptotic form of the electron propagator in the field. As an example, the photon-neutrino processes are considered, where one vertex in the amplitude is of a general type, and the other vertices are of the vector type. It is shown, that for odd numbers of vertices only the SV₁... Vₙ₋₁ amplitude grows linearly with the magnetic field strength, while for even numbers of vertices the linear growth takes place only in the amplitudes PV₁... Vₙ₋₁, VV₁... Vₙ₋₁ and AV₁... Vₙ₋₁. The general expressions for the amplitudes of the processes gamma gamma -> nu bar nu (in the framework of the model with the effective nu nu e e - coupling of a scalar type) and gamma gamma -> nu bar nu gamma (in the framework of the Standard Model) for arbitrary energies of particles are obtained. A comparison with existing results is performed.
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