Fermion Generations, Masses and Mixing Angles from Extra Dimensions

Abstract

We discuss a toy model in six dimensions that predicts two fermion generations, natural mass hierarchy and intergenerational mixing. Matter is described by vector-like six dimensional fermions, one per each irreducible standard model representation. Two fermion generations arise from the compactification mechanism, through orbifold projection. They are localized in different regions of the compact space by a six dimensional mass term. Flavour symmetry is broken via Yukawa couplings, with a Higgs vacuum expectation value not constant in the extra space. A hierarchical spectrum is obtained from order one dimensionless parameters of the six dimensional theory. The Cabibbo angle arises from the soft breaking of six dimensional parity symmetry. We also briefly discuss how the present model could be extended to cover the realistic case.

22 pages, 2 figures. References added, modified comment on neutrino masses, published version

References in corpus (13)

• Flavor violation and warped geometry
• Electroweak symmetry breaking and fermion masses from extra dimensions
• Universal Extra Dimensions and the Higgs Boson Mass
• Boundary conditions as constraints
• Dynamical Rearrangement of Gauge Symmetry on the Orbifold S^1/Z_2
• Bulk fields with general brane kinetic terms
• Unification of Gauge, Higgs and Matter in Extra Dimensions
• Unification in 5D SO(10)
• Realistic construction of split fermion models
• Localized anomalies in orbifold gauge theories
• Explicit Supersymmetry Breaking on Boundaries of Warped Extra Dimensions
• New Ideas in Symmetry Breaking
• Finite mass corrections in orbifold gauge theories

Cited by in corpus (27)

• Implications of D^0-\bar D^0 Mixing for New Physics
• Gauge-Higgs Unification in Orbifold Models
• Six-Dimensional Gauge Theory on the Chiral Square
• Dynamical Gauge Symmetry Breaking and Mass Generation on the Orbifold T^2/Z_2
• Radiative Effects on the Chiral Square
• Fermion generations, masses and mixings in a 6D brane model
• Non-perturbative definition of five-dimensional gauge theories on the R^4 x S^1/Z_2 orbifold
• Vector Leptons in the Higgs Triplet Model
• Brane world generation by matter and gravity
• Flavor Hierarchy from Extra Dimension and Gauge Threshold Correction
• The $\mu \to e\gamma$ and $\tau \to \mu \gamma$ decays in the general two Higgs Doublet model with the inclusion of one universal extra dimension
• Gauge-Fermion Unification and Flavour Symmetry
• The effects of non-universal extra dimensions on the fermion electric dipole moments in the two Higgs doublet model
• A Hybrid Model of Neutrino Masses and Oscillations: Bulk Neutrinos in the Split-Fermion Scenario
• Radiative stabilization of warped space
• Neutrino Masses via the Zee Mechanism in 5D split fermions model
• Family Unification on an Orbifold
• Geometry-free neutrino masses in curved spacetime
• Successful Yukawa structures in Warped Extra Dimensions
• The possible effects of non-universal extra dimensions on t\to c l_i^- l_j^+ and H^0 \to h^0 (A^0) l_i^- l_j^+ decays in the general two Higgs Doublet model
• Dark Matter and Collider Searches in $S_3$-Symmetric 2HDM with Vector Like Leptons
• The effects of non-universal extra dimensions on the radiative lepton flavor decays μ\to eγand τ\to μγin the two Higgs doublet model
• Inert scalar dark matter in an extra dimension inspired model
• Signals for vector-like leptons in an $S_3$-symmetric 2HDM at ILC
• Constraints on Models with Warped Extra Dimensions
• The effect of the Gaussian profile of the new Higgs doublet on the radiative lepton flavor violating decay
• Charged Lepton Flavor Physics and Extra Dimensions