Neutrino Masses and Mixing Angles in a Realistic String-Inspired Model

Abstract

We analyse a supersymmetric string-inspired model of all fermion masses and mixing angles based on the Pati-Salam $SU(4)\times SU(2{)}_L\times SU(2{)}_R$ gauge group supplemented by a $U(1{)}_X$ flavour symmetry. The model involves third family Yukawa unification and predicts the top mass and the ratio of the vacuum expectation values $\tan \beta$. The model also provides a successful description of the CKM matrix and predicts the masses of the down and strange quarks. However our main focus is on the neutrino masses and MNS mixing angles, and we show how the recent atmospheric neutrino mixing observed by Super-Kamiokande, and the MSW solution to the solar neutrino problem lead to important information about the flavour structure of the model near the string scale. We show how single right-handed neutrino dominance may be implemented by the use of ``Clebsch zeros'', leading to the LMA MSW solution, corresponding to bi-maximal mixing. The LOW MSW and SMA MSW solutions are also discussed.

53 pages, Latex

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• Evidence for oscillation of atmospheric neutrinos
• Limits on Neutrino Oscillations from the CHOOZ Experiment
• Measurement of a small atmospheric ${\nu }_{\mu }/{\nu }_e$ ratio
• Study of the atmospheric neutrino flux in the multi-GeV energy range
• TeV Scale Superstring and Extra Dimensions
• Large Mixing Angle MSW and Atmospheric Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
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• Large Mixing and Large Hierarchy Between Neutrinos with Abelian Flavor Symmetries
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• Towards a Complete Theory of Fermion Masses and Mixings with SO(3) Family Symmetry and 5d SO(10) Unification
• Large Solar Angle and Seesaw Mechanism: a Bottom-up Perspective
• Models of Neutrino Masses: Anarchy versus Hierarchy
• Muon Anomalous Magnetic Moment and $\tau \to \mu \gamma$ in a Realistic String-Inspired Model of Neutrino Masses
• Lepton Flavour Violation in the Constrained MSSM with Natural Neutrino Mass Hierarchy
• Leptogenesis with Single Right-Handed Neutrino Dominance
• Sequential Dominance
• Study of theory and phenomenology of some classes of family symmetry and unification models
• Supersymmetric Pati-Salam Models from Intersecting D-Branes
• Large lepton mixing and supernova 1987A
• Global Analysis of a Supersymmetric Pati-Salam Model
• Neutrino Mass Models
• Lepton Flavour Violation from Yukawa Operators, Supergravity and the See-Saw mechanism
• Bimaximal Mixings from the Texture of the Right-handed Majorana Neutrino Mass Matrix
• Brane Mediated Supersymmetry Breaking
• The origin of quark and lepton mixings
• Neutrino Oscillations: Status, Prospects and Opportunities at a Neutrino Factory
• Lepton flavour violation in realistic non-minimal supergravity models
• Progress on Models of Neutrino Masses and Mixings
• Neutrino Mass Models and Leptogenesis
• Lopsided texture compatible with thermal leptogenesis in partially composite Pati--Salam unification
• Neutrino Masses and GUT Baryogenesis