Fermion Mass Hierarchy in Lifshitz Type Gauge Theory

Understand

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.