The Dispersive Approach to Electroweak Processes in the Background Magnetic Field

Abstract

We propose a new method to compute amplitudes of electroweak processes in the strong background magnetic field, using ${\hat{I}}^3\to e^{+}{e}^{-}$ as an example. We show that the {\it moments} of ${\hat{I}}^3\to e^{+}{e}^{-}$ 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.

3 pages, talk presented in DPF2000, Aug. 9-12, Ohio State U