An effective Lagrangian for a supersymmetric composite model due to Greenberg, Mohapatra, and Yasué is constructed. In particular the four-fermion contact interactions for three generations of composite quarks and leptons are examined. A geometric approach is used to couple one quasi-Goldstone-fermion (QGF) generation to two matter generations. A heuristic argument leads to a particularly simple form for the bilinear matter coupling terms. Isoscalar four-fermion terms containing QGF’s may be eliminated by a special choice of certain parameters. However, the residual interactions are found not to reproduce weak interactions due to the presence of flavor-changing processes and the failure of quark-lepton and e-μ-τ universality. Introducing fundamental weak forces leads to a lower bound of a few tens of TeV’s for the hypercolor scale parameter.

• Received 25 August 1986

DOI:https://doi.org/10.1103/PhysRevD.35.1050