The dispersive approach to electroweak processes in the background magnetic field. (English) Zbl 0997.81604
Summary: 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 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.
MSC:
| 81V15 | Weak interaction in quantum theory |
Keywords:
photon polarization function at the zero energy; pair-production width; inverse Mellin transformReferences:
| [1] | DOI: 10.1086/150865 · doi:10.1086/150865 |
| [2] | DOI: 10.1086/304152 · doi:10.1086/304152 |
| [3] | DOI: 10.1016/0370-2693(93)91544-W · doi:10.1016/0370-2693(93)91544-W |
| [4] | DOI: 10.1103/PhysRevD.55.7038 · doi:10.1103/PhysRevD.55.7038 |
| [5] | DOI: 10.1103/PhysRevD.10.492 · doi:10.1103/PhysRevD.10.492 |
| [6] | DOI: 10.1086/161411 · doi:10.1086/161411 |
| [7] | DOI: 10.1103/PhysRev.82.664 · Zbl 0043.42201 · doi:10.1103/PhysRev.82.664 |
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