SPONTANEOUS BREAKING OF VECTOR SYMMETRIES AND THE NONDECOUPLING LIGHTHIGGS PARTICLE

Using a four fermion interaction Lagrangian, we demonstrate that the s pontaneous breaking of vector symmetries requires the existence of a l ight (comparing with the heavy fermion mass) scalar particle, and the low energy effective theory (the sigma model) obtained after integrati ng out heavy fermion degrees of freedom is asymptotically a renormaliz able one. When applying the idea to the electroweak symmetry breaking sector of the standard model, the Higgs particle's mass is of the orde r of the electroweak scale.