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Renormalizable extra-dimensional models

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arxiv hep-ph/0410142 v2 pith:FXLFMZW2 submitted 2004-10-10 hep-ph cond-mat.stat-mechhep-lathep-th

classification hep-phcond-mat.stat-mechhep-lathep-th
keywords renormalizabletheoriesextra-dimensionalfixedfourmodelspointaccessible
verification ladder T0 review T1 audit T2 compute T3 formal
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Non-Abelian gauge theories may have continuum limits in more than four dimensions, supported by non-trivial ultra-violet fixed points. Moreover, such theories can be expected to be accessible to Wilson's epsilon expansion. We investigate this series for SU(N) Yang-Mills, in particular for the fixed point coupling and critical exponent nu, up to four loops. From the model-building point of view, such theories would be effectively perturbatively renormalizable in the normal way. A particularly attractive possibility is the construction of renormalizable extra-dimensional models of the weak interactions, which have the potential to address the full hierarchy problem. The simplest such gauge-Higgs unification model is however ruled out by a combination of theoretical and phenomenological constraints.

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  1. Are there minimal exceptional aGUTs from stable 5D orbifolds?

    hep-ph 2025-01 conditional novelty 7.0 of 10

    Stable 5D orbifold breakings of exceptional gauge groups never yield just the Standard Model gauge group, ruling out minimal exceptional asymptotic GUTs.

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