We show that an integral S over the spectral function of spin-l states of the Higgs sector is constrained by precision weak-interaction measurements. Current data excludes large technicolor models; experiments at LEP and ‘SLC will sooi provide more stringent limits on Higgs strong interactions. Submitted to Physical Review Letters PACS numbers: 12.15.Cc, 12.15.Ji, 14.80.Er * Work supported by t...