2005/03/31 by Guido Martinelli, G. Martinelli, Matteo Salvatori +5
Physics and Astronomy · #Black Holes and Theoretical Physics #Fermion #Flavour #Global symmetry #Neutrino Physics Research #Orbifold #Particle physics theoretical and experimental studies #Projection (relational algebra) #Symmetry (geometry) #Symmetry breaking #Yukawa potential #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/10/037
published as JHEP 0510:037,2005 · LaTex, 37 pages, 2 figures; some clarifying comments and a few references added
openalex publication_date 2005/10/13 · arxiv created 2005/10/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.