Symmetry breakings in supersymmetric quantum chromodynamics with Ncolor

Abstract

In supersymmetric quantum chromodynamics (SQCD) with ${N}_{\mathrm{color}(=\mathrm{N})<{N}_{\mathrm{flavor}(=\mathrm{M})}}$, influences of explicit supersymmetry (SUSY) and chiral-symmetry breakings are examined on the basis of an effective Lagrangian for SQCD. The effective Lagrangian reproduces symmetry breakings consistent with complementarity in the massless SQCD and with instanton analysis in the massive SQCD for M-N massive flavors. A chiral SU(M-N) symmetry, which remains unbroken in massless SQCD, is broken by the SUSY breakings even in the absence of the explicit breakings of SU(M-N). An application to composite quarks and leptons seems unsatisfactory owing to the presence of appreciable mixings of quarks and leptons with their mirrors.