Realization of lepton masses and mixing angles from point interactions in an extra dimension

Abstract

We investigate a model on an extra dimension $S^1$ where plenty of effective boundary points described by point interactions (zero-thickness branes) are arranged. After suitably selecting the conditions on these points for each type of five-dimensional fields, we realize the tiny active neutrino masses, the charged lepton mass hierarchy, and lepton mixings with a CP-violating phase, simultaneously. Not only the quark's but also the lepton's configurations are generated in a unified way with acceptable accuracy, with neither the see-saw mechanism nor symmetries in Yukawa couplings, by suitably setting the model parameters, even though their flavor structures are dissimilar each other. One remarkable point is that a complex vacuum expectation value of the five-dimensional Higgs doublet in this model becomes the common origin of the CP violation in both quark and lepton sectors. The model can be consistent with the results of the precision electroweak measurements and Large Hadron Collider experiments.

arXiv comment29 pages, 7 figures (v1); 28 pages, 7 figures in JHEP style file, published version in JHEP, a subsection added, typo fixed (v2)

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• $\mathcal{R}(D^{(\ast )})$ anomalies in light of Non-Minimal Universal Extra Dimension
• Dynamical generation of fermion mass hierarchy in an extra dimension
• Effects of non-minimal Universal Extra Dimension on $B\to X_s\gamma$
• Looking for $B\to X_s{\ell }^{+}{\ell }^{-}$ in non-minimal Universal Extra Dimensional model
• Majorana neutrinos with point interactions
• Large Star/Rose Extra Dimension with Small Leaves/Petals
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• The impact of nonminimal Universal Extra Dimensional model on $\Delta B=2$ transitions
• Correspondence of topological classification between quantum graph extra dimension and topological matter
• Belle II Constraints on the Non-Minimal Universal Extra Dimensional Model