Avenues for Dynamical Symmetry Breaking

which dynamically breaks SU(2)L × SU(2)R → SU(2)V . These broken chiral symmetries imply the existence of three massless Goldstone bosons, the analogs of the pions in QCD. Now consider gauging SU(2)W × U(1)Y with the left-handed fermions transforming as weak doublets and the right-handed ones as weak singlets. To avoid gauge anomalies, in this one-doublet technicolor model we will take the left-handed technifermions to have hypercharge zero and the right-handed upand downtechnifermions to have hypercharge ±1/2. The spontaneous breaking of the chiral symmetry breaks the weak-interactions down to electromagnetism. The would-be Goldstone bosons become the longitudinal components of the W and Z π, π → W L , ZL , which acquire a mass