Abstract
We show how the seesaw mechanism for neutrino masses can be realized within a five-dimensional (5D) warped geometry framework. Intermediate scale standard model (SM) singlet neutrino masses, needed to explain the atmospheric and solar neutrino oscillations, are shown to be proportional to MPlexp((2c−1)πkR), where c denotes the coefficient of the 5D Dirac mass term for the singlet neutrino which also has a Planck scale Majorana mass localized on the Planck-brane, and kR≈11 in order to resolve the gauge hierarchy problem. The case with a bulk 5D Majorana mass term for the singlet neutrino is briefly discussed.
Highlights
A intriguing resolution of the gauge hierarchy problem is provided by a setting based on five dimensional (5D) warped geometry [1]
This means that one should understand how an intermediate mass scale for the standard model (SM) singlet neutrinos arises, starting with Planck scale quantities. We show how this works out by introducing in particular 5D Dirac masses for the SM singlet fields, in addition to the Majorana masses. It remains to be seen if the appearance of an intermediate mass scale for ’right handed’ neutrinos can be exploited to yield the required light neutrino masses but to realize the observed baryon asymmetry via leptogenesis [17]
If the Majorana mass is localized on the TeV-brane, small sterile neutrino masses can be produced by localizing the fermion towards the Planck-brane with c ≈ 1
Summary
A intriguing resolution of the gauge hierarchy problem is provided by a setting based on five dimensional (5D) warped geometry [1] (see [2]). In this paper we investigate how the four dimensional seesaw mechanism can be incorporated within the warped setting This means that one should understand how an intermediate mass scale for the SM singlet neutrinos arises, starting with Planck scale quantities. We show how this works out by introducing in particular 5D Dirac masses for the SM singlet fields, in addition to the Majorana masses. It remains to be seen if the appearance of an intermediate mass scale for ’right handed’ neutrinos can be exploited to yield the required light neutrino masses but to realize the observed baryon asymmetry via leptogenesis [17]
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