The Dispersive Approach to Electroweak Processes in the Background Magnetic Field

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1142/S0217751X01009417

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

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