content_image/356076.jpg content_image/356077.jpg content_image/356078.jpg content_image/356079.jpg content_image/356074.jpg content_image/356075.jpg
with 

<img src='content_image/356076.jpg'>

Note that these profiles are not only flavor diagonal but flavor independent. 

We can now insert the former expressions in the general Yukawa Lagrangian, Eq. (20), and get the corresponding zero mode mass term 

with 

<img src='content_image/356077.jpg'>

<img src='content_image/356078.jpg'>

On the other hand, the UV brane term 

<img src='content_image/356079.jpg'>

gives a Majorana mass contribution to the three RH neutrinos, so that the total zero mode mass Lagrangian writes 

<img src='content_image/356074.jpg'>

with 

<img src='content_image/356075.jpg'>

Assuming λ ≈ 1 and R/R ′ ≈ 10 − $^{16}$, the Majorana mass scale is in the range (10 − 2 − 10 − $^{5}$) /R ≈ 10 17 − 10 14 GeV for − 0 . 5 ≤ c$_{2}$ ≤ − 0 . 35. L m is already diagonal for charged leptons (see Eq. (34)). Furthermore, the localization parameters f − c$_{α}$ naturally explain a hierarchical pattern of charged lepton masses. 4 The electron and muon masses are easily obtained with the corresponding zero modes localized towards the UV brane. The tau mass induces some tension that requires c$_{1}$ and c$_{3}$ to be relatively close to 1 / 2, c$_{1}$$_{,}$$_{3}$ ≲ 0 . 6, and the RH tau to be somewhat localized towards the IR brane, c$_{τ}$ ≥ − 1 / 2. This tension is 

