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Minimal gauge-Higgs unification with a flavour symmetry

G. Martinelli·M. Salvatori·C. A. Scrucca·L. Silvestrini
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Abstract

We show that a flavour symmetry a la Froggatt-Nielsen can be naturally incorporated in models with gauge-Higgs unification, by exploiting the heavy fermions that are anyhow needed to realize realistic Yukawa couplings. The case of the minimal five-dimensional model, in which the SU(2)_L x U(1)_Y electroweak group is enlarged to an SU(3)_W group, and then broken to U(1)_em by the combination of an orbifold projection and a Scherk-Schwarz twist, is studied in detail. We show that the minimal way of incorporating a U(1)_F flavour symmetry is to enlarge it to an SU(2)_F group, which is then completely broken by the same orbifold projection and Scherk-Schwarz twist. The general features of this construction, where ordinary fermions live on the branes defined by the orbifold fixed-points and messenger fermions live in the bulk, are compared to those of ordinary four-dimensional flavour models, and some explicit examples are constructed.

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G. Martinelli, M. Salvatori, C. A. Scrucca, L. Silvestrini. 2005-10-14. Minimal gauge-Higgs unification with a flavour symmetry. https://doi.org/10.1088/1126-6708%2F2005%2F10%2F037

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