Fermion masses and mixings in a flavour symmetric GUT

Abstract

We describe a supersymmetric Grand Unified Theory based on the gauge group $\SU(5)^3$, or $\SO(10)^3$, invariant under the interchange of any~SU(5), or~SO(10), with each family multiplet transforming non trivially under one different individual group factor. A realistic pattern of fermion masses and mixings is obtained as a result of an appropriate choice out of the many possible discretely degenerate vacua of the theory. In the~SO(10) case, we predict the three neutrino masses in terms of an overall scale and, within factors of order unity, their mixing angles. A ${\nu }_e$-${\nu }_{\mu }$ oscillation is suggested as a solution of the solar neutrino problem, implying a visible ${\nu }_{\mu }$-${\nu }_{\tau }$ oscillation in the forthcoming experiments. Grand unified theories of this type could be obtainable in a string theory framework.

10 pages, no figures, preprint IFUP - TH 32/94

References in corpus (2)

• Supersymmetric Grand Unified Theories: Two Loop Evolution of Gauge and Yukawa Couplings
• Strings versus supersymmetric GUTs: can they be reconciled?

Cited by in corpus (14)

• TeV Scale Superstring and Extra Dimensions
• Natural gauge-coupling unification at the string scale
• Field Theory on Multi-throat Backgrounds
• Grand Unification with Three Generations in Free Fermionic String Models
• Dicyclic Horizontal Symmetry and Supersymmetric Grand Unification
• Flavor ``Conservation'' and Hierarchy in TeV-scale Supersymmetric Standard Model
• Minimal complete tri-hypercharge theories of flavour
• Vanishing corrections on the intermediate scale and implications for unification of forces
• Tri-unification: a separate $SU(5)$ for each fermion family
• String scale unification in an SU(6)xSU(2) GUT
• A common origin of the Higgs boson and the flavor hierarchies
• Fermion Mass Hierarchy without Flavour Symmetry
• Tri-hypercharge versus tri-darkcharge
• Natural neutrino mass hierarchy in a theory of gauge flavour deconstruction