General lepton mixing in holographic composite Higgs models

We introduce a scenario of lepton mixing in holographic composite Higgs models based on non-abelian discrete symmetries of the form Gf = X × ZN , broken to Z2 × Z2 × ZN in the elementary sector and to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ Z_N^{{(D)}} $\end{document} in the composite sector with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ Z_N^{{(D)}} $\end{document} being the diagonal subgroup of a ZN ⊂ X and the external ZN . By choosing X = Δ(96) or Δ(384), a non-vanishing θ13 of order 0.1 is naturally obtained. We apply our considerations to a 5D model in warped space for the particular cases of X = S4, A5, Δ(96) and Δ(384) and N = 3 or 5. Lepton flavour violating processes and electric dipole moments are well below the current bounds, with the exception of μ → eγ that puts a very mild constraint on the parameter space of the model, for all presented choices of Gf.