Properties, Generations and Masses

TL;DR

This paper explores a property-based scheme for particle generations that naturally constrains masses through a single Yukawa coupling and a superHiggs potential, offering an alternative to the standard model's mass generation.

Contribution

It introduces a property-based framework with a superHiggs potential that tightly constrains particle masses using only three parameters, differing from the standard model.

Findings

Generations arise naturally from anticommuting scalar coordinates.

Masses depend on just three constants in the model.

Small quantum loop effects can generate nonzero masses.

Abstract

Schemes based on anticommuting scalar coordinates, corresponding to properties, lead to generations of particles very naturally. In contrast to the standard model, where masses arise through independent Yukawa couplings to a single Higgs isodoublet, property models produce Higgs fields in various multiplet denominations, but contain a single Yukawa coupling. A renormalizable superHiggs potential of quartic order then produces very strongly constrained masses for generations of fields, which depend on just three constants. By allowing for a small parameter, which is meant to characterise the quantum loop effects for the effective potential, one can obtain nonzero masses for the engendered masses. We illustrate the phenomenon for two and three complex coordinates; the more realistic case of five complex coordinates is not yet fully treatable because of its complexity.