The dispersive approach to electroweak processes in the dackground magnetic field

Abstract

We propose a new method to compute amplitudes of electroweak processes in the strong background magnetic field, using gamma --> e(+)e(-) as an example. We show that the moments of gamma --> e(+)e(-) width are proportional to the derivatives of photon polarization function at the zero energy. Hence, the pair-production width can be easily calculated from the latter by the inverse Mellin transform. The prospects of our approach are commented.