Perturbation Theory and Its Limitations in the Higgs Sector of the SM

Abstract

This lecture reviews various Higgs-sector amplitudes which have been calculated to two loops in the Higgs quartic coupling. After explaining the framework of these calculatins, the perturbative behaviour of the amplitudes is discussed, and perturbative upper bounds on the Higgs boson mass are given.

arXiv comment10 pages, 4 figures. The complete paper is also available via WWW at http://www.physik.tu-muenchen.de/tumphy/d/T30d/PAPERS/TUM-HEP-252-96.ps.gz To appear in the Proceedings of the "XXXVI Cracow School of Theoretical Physics", Zakopane, Poland, June 1--10, 1996