approach to physics beyond the standard model. Written as N= 0, U (N) n gauge theories,
however, they have mixed U (1) pU (1) q2 and U (1) pSU (N) q2 triangle anomalies. It is
shown how to construct explicitly a compensatory term ΔLcomp which restores gauge
invariance of Leff= L+ ΔLcomp under U (N) n. It can lead to a negative contribution to the U
(1) β-function and hence to one-loop conformality at high energy for all dimensionless …