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Freiburg 2008 – scientific programme

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T: Fachverband Teilchenphysik

T 22: Quantenfeldtheorie II

T 22.2: Talk

Friday, March 7, 2008, 14:15–14:30, KGI-HS 1016

Higgs mechanism in five dimensional gauge theories — •Magdalena Luz1, Francesco Knechtli2, and Nikos Irges31Bergische Universitaet Wuppertal, Wuppertal — 2Bergische Universitaet Wuppertal, Wuppertal — 3University of Crete, Heraklion, Greece

In Gauge-Higgs unification models the Higgs arises from extra-dimensional components of a gauge field in higher dimensions. The extra-dimensions are subject to non trivial (orbifold) boundary conditions which break the full symmetry down to a subgroup, which then is supposed to become the electroweak sector of the standard model. This subgroup can then break again spontaneously through the Hosotani mechanism, leading to massive gauge particles in an effective 4 d theory.

Standard perturbative arguments show no spontaneous symmetry breaking unless (a large number of) fermions are added to the system. However in a non-perturbative lattice study of the pure gauge theory we observed massive gauge particles.

Extra dimensional theories are both non-renormalizable and trivial. The lattice automatically provides a finite cutoff, such it can be probed away from the trivial limit. Recently we have shown that the perturbative calculation also shows SSB if a finite cutoff is left in place.

Our future goal is to investigate whether, despite the non renormalizability, there exists a regime where the physics depends only weakly on the cutoff such that trustable predictions can be made.

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