Abstract
Using a low-energy effective field theory approach, we study some properties of models with large extra dimensions, in which quarks and leptons have localized wave functions in the extra dimensions. We consider models with two types of gauge groups: (i) the Standard-Model gauge group, and (ii) the left-right symmetric (LRS) gauge group. Our main focus is on the lepton sector of models with $n=2$ extra dimensions, in particular, neutrino masses and mixing. We analyze the requisite conditions that the models must satisfy to be in accord with data and present a solution for lepton wave functions in the extra dimensions that fulfills these conditions. As part of our work, we also present a new solution for quark wave function centers. Issues with flavor-changing neutral current effects are assessed. Finally, we remark on baryogenesis and dark matter in these models.
Highlights
An interesting idea for physics beyond the Standard Model (BSM) is that our four-dimensional spacetime is embedded in a higher-dimensional space with n extra spatial dimensions compactified on a length scale of L ∼ 10−19 cm, i.e., 1=L ∼ 100 TeV, in which SM fermions have strongly localized wave functions [1,2]
In this subsection we analyze the effects of the higher Kaluza and Klein (KK) modes of the W and Z bosons in producing flavor-changing neutral-current (FCNC) effects in the neutrino sector, commonly referred to as neutrino nonstandard interactions (NSI). (Some recent papers on neutrino NSIs with further references to the literature include [88,89,90].) In a low-energy effective field theory approach, nonstandard interactions between neutrinos and matter beyond the SM can be represented by the following neutral-current (NC) and charged-current (CC) effective four-fermion operators
In this paper we have studied several properties of models with large extra dimensions, in which quarks and leptons have localized wave functions in the extra dimensions
Summary
An interesting idea for physics beyond the Standard Model (BSM) is that our four-dimensional spacetime is embedded in a higher-dimensional space with n extra spatial dimensions compactified on a length scale of L ∼ 10−19 cm, i.e., 1=L ∼ 100 TeV, in which SM fermions have strongly localized wave functions [1,2]. These are commonly called split-fermion (SF) models, and we shall follow this terminology. Our present work is an extension of previous studies of baryon-number violation in extra-dimension models, including, in particular, n − noscillations, in this class of models [16,27,28] (see [29])
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