Effective-Lagrangian study of three generations of supersymmetric composite quarks and leptons.

Abstract

An effective Lagrangian for a supersymmetric composite model due to Greenberg, Mohapatra, and Yasu\'e 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-\ensuremath{\mu}-\ensuremath{\tau} universality. Introducing fundamental weak forces leads to a lower bound of a few tens of TeV's for the hypercolor scale parameter.