Combining left-right and quark-lepton symmetries in 5D

Abstract

A five dimensional model containing both left-right and quark-lepton symmetries is constructed, with the gauge group broken by a combination of orbifold compactification and the Higgs mechanism. An analysis of the gauge and scalar sectors is performed and it is shown that the 5D model admits a simpler scalar sector. Bounds on the relevant symmetry breaking scales are obtained and reveal that two neutral gauge bosons may appear in the TeV energy range to be explored by the LHC. Split fermions are employed to remove the mass relations implied by the quark-lepton symmetry and the necessary fermion localization is achieved by introducing bulk scalars with kink vacuum profiles. The symmetries of the model constrain the Yukawa sector, which in turn severely constrains the extent to which realistic split fermion scenarios may be realized in the absence of Yukawa coupling hierarchies. Nevertheless we present two interesting one generation constructs. One of these provides a rationale for ${m}_{t}>{m}_{b},{m}_{\ensuremath{\tau}}$ and ${m}_{\ensuremath{\nu}}\ensuremath{\ll}{m}_{t}$ with Yukawa parameters which vary by only a factor of 5. The other also suppresses the proton decay rate by spatially separating quarks and leptons but requires a Yukawa parameter hierarchy of order ${10}^{2}$.