Abstract
We propose a new seesaw model in an extra-dimensional setup where only right-handed neutrinos are bulk fields. In the model, localizations of an extra-dimensional wave function and brane Majorana mass of the right-handed neutrinos can be different among each generation of the right-handed neutrinos. The setup can lead to different suppression factor dependences of effective right-handed neutrino masses and neutrino Yukawa couplings for each generation. It is shown that the resultant mass spectra of the right-handed neutrinos and neutrino Yukawa couplings are favored in models of neutrino dark matter with baryogenesis.
Highlights
We propose a new seesaw model in an extra-dimensional setup where only right-handed neutrinos are bulk fields
Where we assume |(yν)iα| ≃ |(yν)iβ| (α = β) and take matrix as (MR), which is a fundamental mass scale of the right-handed neutrino sector in the action, as MR ≃ M1 ≃ M2. Note that this kind of separate seesaw can lead to hierarchical mass eigenvalues of the light neutrinos, which are determined by exponential factors, due to the different localizations of the wave function and Majorana mass for each generation of right-handed neutrinos, unlike the type-I and split seesaw mechanisms
It has been shown that different localizations of the wave functions and Majorana masses of the right-handed neutrinos in the extra dimension lead to different suppression factor dependences of the effective Majorana neutrino masses and the neutrino Yukawa couplings
Summary
)ij νRc i νRj h.c. where νRi (i=1,2,3) are the right-handed neutrinos, Lα (α = e, μ, τ ) are left-handed lepton doublets, φ is the SM Higgs, yν is the neutrino Yukawa coupling matrix, MR is the Majorana mass matrix of the right-handed neutrinos, and μ = 0, 1, 2, 3, respectively. We have introduced three generations of right-handed neutrinos to the SM. After integrating out the right-handed neutrinos, the mass matrix of light (active) neutrinos is given by. Where v is the vacuum expectation value (VEV) of the Higgs. This type-I seesaw mechanism with heavy Majorana masses of the right-handed neutrinos can lead to small active neutrino masses without tiny neutrino Yukawa couplings
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