1202.4216 (Robert Delbourgo)

Properties, Generations and Masses    [PDF]

Robert Delbourgo

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.

View original: http://arxiv.org/abs/1202.4216