Callan-Symanzik and renormalization group equation in theories with spontaneously broken symmetry

Abstract

Callan-Symanzik and renormalization group equation are discussed for the $U(1)$-axial model and it is shown that the symmetric model is not the asymptotic version of the spontaneously broken one due to mass logarithms in the $\beta$-functions. The Callan-Symanzik equation of the standard model is seen to have the same form as the one of the simple model.

8 pages, LaTeX2e, Talk given at Ringberg workshop 1996: "The Higgs puzzle -- What can we learn from LEP II, LHC, NLC, and FMC?"