Composite model with three confining hypercolor groups

Abstract

A preon model of composite quarks, leptons, and weak bosons is constructed based on the hypercolor group G/sub HC/ = SU(2)/sub TC/ x SU(2) L x SU(2)/sub R/ with a chiral SU(4) hyperflavor symmetry. Two of the hypercolor forces confine the preons into composite fermions which are hypercolor singlets and technifermions belonging to four-, three-, and two-dimensional representations of technicolor. The most-attractive-channel hypothesis leads to technifermion condensates which (1) break the hyperflavor symmetry in stages providing 't Hooft anomaly matching at the first stage, (2) determine the generation structure through a resulting discrete axial Z(m)/sub A/ group, and (3) lead to light-fermion masses through techniboson-exchange graphs. At most three generations of standard quarks and leptons plus two ''mirror'' generations arise in the model with Q, B, and (optionally) L conserved quantum numbers.