Fermion Mass Hierarchy in Six Dimensional SO(10) Grand Unified Theory on a $T^2/Z_2$ Orbifold

Abstract

We suggest a simple supersymmetric SO(10) grand unified theory in 6 dimensions which produces the suitable fermion mass hierarchies. The 5th and 6th dimensional coordinates are compactified on a $T^2/Z_2$ orbifold. The gauge and Higgs fields propagate in 6 dimensions while ordinal chiral matter fields are localized in 4 dimensions. The orbifolding and boundary conditions realize the gauge symmetry reduction, $SU(3{)}_C\times SU(2{)}_L\times U(1{)}_Y\times U(1{)}_X$, and the triplet-doublet mass splitting. We introduce extra three sets of vector-like heavy fields: two sets propagate in 6 dimensions and chiral fields which couple to them are defined as the 1st generation, and one set propagates in 5 dimensions and chiral fields which couple to them are defined as the 2nd generation. The suitable fermion mass hierarchies are generated by integrating out these vector-like heavy fields.

arXiv comment16pages, 1figure. References added and version to appear in Phys. Lett. B

References in corpus (20)

• A Note on the Green - Schwarz Mechanism in Open - String Theories
• Gauge Unification in Higher Dimensions
• Triplet-doublet Splitting, Proton Stability and Extra Dimension
• SU(5) Grand Unification in Extra Dimensions and Proton Decay
• A Minimal S^1/(Z_2 x Z_2') Orbifold GUT
• Gauge Symmetry Reduction from the Extra Space $S^1/Z_2$
• Anarchy and Hierarchy
• Split Multiplets, Coupling Unification and Extra Dimension
• Proton stability in TeV-scale GUTs
• Large neutrino mixing angles in unified theories
• GUT Breaking on the Brane
• Muon Anomalous Magnetic Moment and $\tau \to \mu \gamma$ in a Realistic String-Inspired Model of Neutrino Masses
• GUT Breaking on $M^4\times T^2/(Z_2\times Z_2^{\prime })$
• Natural Effective Supersymmetry
• On fermion mass hierarchy with extra dimensions
• Generating a Fermion Mass Hierarchy in a Composite Supersymmetric Standard Model
• Doublet-Triplet Splitting in Realistic Heterotic String Derived models
• Composite model with neutrino large mixing
• Supersymmetric Grand Unification Model with the Orbifold Symmetry Breaking in the Six Dimensional Supergravity
• Predictive Models of Large Neutrino Mixing Angles

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• Quarks and Leptons between Branes and Bulk
• Gauge-Higgs unification in the 5 dimensional E_6 and E_7 GUTs on orbifold
• Intersecting Branes Flip SU(5)
• E6 inspired SUSY models with exact custodial symmetry
• A general formula of the effective potential in 5D SU(N) gauge theory on orbifold
• Flavor hierarchy in SO(10) grand unified theories via 5-dimensional wave-function localization
• Unitarity, BRST Symmetry and Ward Identities in Orbifold Gauge Theories
• E6 inspired composite Higgs model
• SO(10) and SU(6) Unified Theories on an Elongated Rectangle
• Gauge-Fermion Unification and Flavour Symmetry
• Minimal SU(5) Asymptotic Grand Unification
• A simple model of generating fermion mass hierarchy in N=1 supersymmetric 6D SO(10) GUT