Abstract
Two compact universal extra dimensional models are an interesting class of models for different theoretical and phenomenological issues, such as the justification of having three standard model fermion families, suppression of proton decay rate, dark matter parity from relics of the 6-dimensional Lorentz symmetry, origin of masses and mixings in the standard model. However, these theories are merely effective ones, with typically a reduced range of validity in their energy scale. We explore two limiting cases of the three standard model generations all propagating in the bulk or all localised to a brane, from the point of view of renormalisation group equation evolutions for the Higgs sector and for the neutrino sector of these models. The recent experimental results of the Higgs boson from the LHC allow, in some scenarios, stronger constraints on the cut-off scale to be placed, from the requirement of the stability of the Higgs potential.
Highlights
This is relevant for Beyond the Standard Model (BSM) and in particular those we shall consider in the following, as this can give bounds on the limit of validity of the effective theory
In this context there have been many attempts to understand the origin of masses and their mixings by using the Renormalisation Group Equations (RGEs) for the Universal Extra Dimension (UED) models and their possible extensions
There are many reasons for studying UED models with two compact extra dimensions; primarily as they may provide a dark matter candidate, they suppress the proton decay rate and they provide anomaly cancellations for the number of light chiral fermion generations being a multiple of three [19]. Another important point connected to BSM physics is that in the SM the neutrino does not have a mass, but neutrino oscillations suggest that neutrinos have finite mass and lepton flavours mix
Summary
This is relevant for BSM and in particular those we shall consider in the following, as this can give bounds on the limit of validity of the effective theory. Among the models which explore new physics that may operate near the TeV scale, those with extra spatial dimensions [7] open many possibilities for model building which can be constrained [8] or explored in the near future In this context there have been many attempts to understand the origin of masses and their mixings by using the Renormalisation Group Equations (RGEs) for the Universal Extra Dimension (UED) models and their possible extensions (see for example [9] and references therein). There are many reasons for studying UED models with two compact extra dimensions; primarily as they may provide a dark matter candidate, they suppress the proton decay rate and they provide anomaly cancellations for the number of light chiral fermion generations being a multiple of three [19] Another important point connected to BSM physics is that in the SM the neutrino does not have a mass, but neutrino oscillations suggest that neutrinos have finite mass and lepton flavours mix.
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