Fermion Mass Hierarchy in Lifshitz Type Gauge Theory

Abstract

We study the origin of fermion mass hierarchy and flavor mixing in a Lifshitz type extension of the standard model including an extra scalar field. We show that the hierarchical structure can originate from renormalizable interactions. In contrast to the Froggatt-Nielsen mechanism, the higher the dimension of associated operators, the heavier the fermion masses. Tiny masses for left-handed neutrinos are obtained without introducing right-handed neutrinos.

13 pages; clarifications of some points

References in corpus (8)

• Quantum Gravity at a Lifshitz Point
• Lorentz symmetry breaking as a quantum field theory regulator
• Renormalization of Lorentz violating theories
• Weighted power counting and Lorentz violating gauge theories. I: General properties
• Asymptotically free four-fermi theory in 4 dimensions at the z=3 Lifshitz-like fixed point
• Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model
• $C{P}^{N-1}$ Models at a Lifshitz Point
• Misleading Coupling Unification and Lifshitz Type Gauge Theory

Cited by in corpus (4)

• Lifshitz-type Quantum Field Theories in Particle Physics
• Gauge-Higgs Unification in Lifshitz Type Gauge Theory
• Asymptotically free lattice gauge theory in five dimensions
• Singularities of the Casimir Energy for Quantum Field Theories with Lifshitz Dimensions