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With the previous parameter choice for the leptogenesis, the neutrino masses would be 

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For a natural choice 

the Yukawa couplings f$_{αβ}$ of the Higgs triplet ξ to the left-handed lepton doublets ψ$_{L}$$_{αβ}$ should be sizable to give the expected neutrino masses. 

Since the Higgs triplet ξ with the mass m$_{ξ}$ ≲ M$_{∗}$ is kinematically accessible at the LHC and at future col- liders whereas its sizable Yukawa couplings f$_{αβ}$ to the SM lepton doublets ψ$_{L}$$_{α,β}$ determine the texture of the neutrino mass matrix, the neutrino masses can be veri- fied [25, 26] by the decays of ξ ±± into the charged lep- tons l ± $_{L$_{α}$}$l ± $_{L$_{β}$}$. At the same time, the doublet η with the mass m$_{η}$ ≲ M$_{∗}$ has a Yukawa coupling y$_{α}$$_{2}$ ∼ O (1) to the SM lepton doublet ψ$_{L}$$_{α}$ and the right-handed 

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neutrino N$_{R}$$_{2}$ . Through the detection on the decays η − → l − $_{L$_{α}$}$N c R$_{2}$ and η + → l + $_{L$_{α}$}$N$_{R}$$_{2}$ and/or on the anni- hilations l + $_{L$_{α}$}$l − L$_{β}$ → N c $_{R$_{2}$}$N$_{R}$$_{2}$ , the right-handed neutrino N$_{R}$$_{2}$ and then the Majorana fermions X ± could be found as a missing energy. 

In summary, the theory with the large extra dimen- sions implies a low fundamental scale of the order of TeV. In this scenario the resonant leptogenesis becomes attrac- tive as it can generate the baryon asymmetry at a TeV scale. The resonant leptogenesis requires a tiny mass difference between the decaying particles. The low fun- damental scale also constrains the Higgs triplet for the type-II seesaw at the TeV scale. The neutrino masses can be verified in presence of a very small trilinear cou- pling between the triplet and doublet Higgs scalars. We show the small parameters for the resonant leptogenesis and the verifiable type-II seesaw can be simultaneously achieved by the shined lepton number violation from the distant branes to our world. In our model, it is possible to detect the existence of the decaying Majorana fermions for the resonant leptogenesis, besides the neutrino masses from the type-II seesaw with the Higgs triplet. 

Acknowledgement : I thank Manfred Lindner for hospitality at Max-Plank-Institut f¨ ur Kernphysik. This work is supported by the Alexander von Humboldt Foun- dation. 

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