stronger the smaller the factor ( y α s − y α b ) x$_{l}$v ′ / Λ ′ is. Note the v ′ / Λ ′ suppression due to the A$_{4}$ structure. This suppression makes the RH tau generically more composite ( c$_{τ}$ > − 1 / 2) than naively expected from its mass. What generically implies light leptonic resonances accessible at the LHC, as discussed in section V. The c$_{3}$ − c$_{1}$ difference also controls how the LH zero modes are split between the ζ$_{1}$$_{,}$$_{2}$ and ζ$_{3}$$_{,α}$ multiplets (see [37] for a related discussion). This becomes essential to protect the τ (LFV) couplings to the Z when it is near the IR brane. Let us now turn our attention to the neutrino sector. The matrix elements in Eq. (37) satisfy ‖M ν D ‖ ∼ O (TeV) ≪ ‖M ν M ‖ ≲ O ( M$_{Pl}$ ) for natural values of the model parameters. Then, integrating out the heavy RH neutrinos we obtain the standard see-saw type Majorana mass matrix for the LH neutrinos where we have defined Δ = ϵ 2 s − ϵ 2 t and In the last equality we have used the tree-level matching of the 5D and 4D gauge coupling constants (in the absence of brane kinetic terms) which can be diagonalized by the Harrison-Perkins-Scott matrix [26] ˜ M ν = −M ν D M ν M − $^{1}$( M ν $_{D}$) T = − ˜ m 3    1 ι$_{e}$ [ 1 ϵ$_{s}$ + 2 ϵ$_{s}$ + ϵ$_{t}$ ] 1 √ ι$_{e}$ι$_{µ}$ [ 1 ϵ$_{s}$ − 1 ϵ$_{s}$ + ϵ$_{t}$ ] 1 √ ι$_{e}$ι$_{τ}$ [ 1 ϵ$_{s}$ − 1 ϵ$_{s}$ + ϵ$_{t}$ ] 1 √ ι$_{e}$ι$_{µ}$ 1 ϵ$_{s}$ − 1 ϵ$_{s}$ + ϵ$_{t}$ 1 ι$_{µ}$ [ 1 ϵ$_{s}$ − 1 $^{ϵ$_{s}$}$−ϵ$_{t}$ − ϵ$_{t}$ Δ 1 √ ι$_{µ}$ι$_{τ}$ [ 1 ϵ$_{s}$ + 1 $^{ϵ$_{s}$}$−ϵ$_{t}$ + ϵ$_{s}$ Δ 1 √ ι$_{e}$ι$_{τ}$ [ 1 ϵ$_{s}$ − 1 ϵ$_{s}$ + ϵ$_{t}$ ] 1 √ ι$_{µ}$ι$_{τ}$ 1 ϵ$_{s}$ + 1 $^{ϵ$_{s}$}$−ϵ$_{t}$ + ϵ$_{s}$ Δ ] 1 ι$_{τ}$ 1 ϵ$_{s}$ − 1 $^{ϵ$_{s}$}$−ϵ$_{t}$ − ϵ$_{t}$ Δ ]    , (39) ˜ m ≡ g 2 5 R ( y$_{s}$ − y$_{b}$ ) $^{2}$v ′ 2 η 8Λ ′ 2 v 2 $_{H}$R ′ f 2 c 1 ( R R ′ ) − 2 c 2 = g $^{2}$log ( R ′ R ) ( y$_{s}$ − y$_{b}$ ) $^{2}$v ′ 2 η 8Λ ′ 2 v 2 $_{H}$R ′ f 2 c 1 ( R R ′ ) − 2 c 2 . (40) g$_{5}$ = g √ R log( R ′ /R ) , (41) ˜ M ν ∼ = − ˜ m 3 ι    1 ϵ$_{s}$ + 2 ϵ$_{s}$ + ϵ$_{t}$ 1 ϵ$_{s}$ − 1 ϵ$_{s}$ + ϵ$_{t}$ 1 ϵ$_{s}$ − 1 ϵ$_{s}$ + ϵ$_{t}$ 1 ϵ$_{s}$ − 1 ϵ$_{s}$ + ϵ$_{t}$ 1 ϵ$_{s}$ − 1 $^{ϵ$_{s}$}$−ϵ$_{t}$ − ϵ$_{t}$ Δ 1 ϵ$_{s}$ + 1 $^{ϵ$_{s}$}$−ϵ$_{t}$ + ϵ$_{s}$ Δ 1 ϵ$_{s}$ − 1 ϵ$_{s}$ + ϵ$_{t}$ 1 ϵ$_{s}$ + 1 $^{ϵ$_{s}$}$−ϵ$_{t}$ + ϵ$_{s}$ Δ 1 ϵ$_{s}$ − 1 $^{ϵ$_{s}$}$−ϵ$_{t}$ − ϵ$_{t}$ Δ    , (42) U$_{HP S}$ =    √ 2 / 3 1 $_{/}$√$_{3}$ 0 − 1 $_{/}$√$_{6 1}$$_{/}$ √$_{3}$ − 1 $_{/}$√$_{2}$ − 1 $_{/}$√$_{6 1}$$_{/}$ √$_{3}$ 1 $_{/}$√$_{2}$    . (43) with g ≈ 0 . 65 the 4D SU (2)$_{L}$ coupling constant. If we choose c$_{1}$$_{,}$$_{3}$ ≥ 1 $_{2}$, c$_{3}$ > c$_{α}$ , we can take ι$_{α}$ ∼ = ι independent of α and then 13