Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-07-21
Nucl.Phys. B596 (2001) 81-98
Physics
High Energy Physics
High Energy Physics - Phenomenology
Typos Corrected and some clarifications added. 22 pages, Latex
Scientific paper
10.1016/S0550-3213(00)00688-X
We study models of neutrino masses which naturally give rise to an inverted mass hierarchy and bi-maximal mixing. The models are based on the see-saw mechanism with three right-handed neutrinos, which generates a single mass term of the form $\nu_e(\nu_{\mu}+\nu_{\tau})$ corresponding to two degenerate neutrinos $\nu_e$ and $\nu_{\mu}+\nu_{\tau}$, and one massless neutrino $\nu_{\mu}-\nu_{\tau}$. Atmospheric neutrino oscillations are accounted for if the degenerate mass term is about $5\times 10^{-2}$ eV. Solar neutrino oscillations of the Large Mixing Angle MSW type arise when small perturbations are included leading to a mass splitting between the degenerate pair of about $(1.7-2.0)\times 10^{-4}$ eV for the successful cases. We study the conditions that such models must satisfy in the framework of a U(1) family symmetry broken by vector singlets, and catalogue the simplest examples. We then perform a renormalisation group analysis of the neutrino masses and mixing angles, assuming the supersymmetric standard model, and find modest radiative corrections of a few per cent, showing that the model is stable. At low energies we find $\sin^22\theta_{23}\approx 0.93-0.96$ and $\sin^22\theta_{12}\approx 0.9-1.0$.
King Stephen F.
Singh Nimai N.
No associations
LandOfFree
Inverted Hierarchy Models of Neutrino Masses does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Inverted Hierarchy Models of Neutrino Masses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inverted Hierarchy Models of Neutrino Masses will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-349656