Thirring's low-energy theorem and its generalizations in the electroweak Standard Model

Details Thirring's low-energy theorem and its generalizations in the electroweak Standard Model Thirring's low-energy theorem and its generalizations in the electroweak Standard Model

1997-04-21

arxiv.org/abs/hep-ph/9704368v1

Phys.Lett. B409 (1997) 509-516

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, latex

Scientific paper

10.1016/S0370-2693(97)00888-5

The radiative corrections to Compton scattering vanish in the low-energy limit in all orders of perturbation theory. This theorem, which is well-known for Abelian gauge theories, is proved in the electroweak Standard Model. Moreover, analogous theorems are derived for photon scattering off other charged particles, in particular W bosons. Since the theorems follow from gauge invariance and on-shell renormalization, their derivation is most conveniently performed in the framework of the background-field method.

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