New Constraints in High-Energy Electron-Positron Annihilation into Hadrons

We consider relations between the total cross section ${\sigma }_T(e^{+}{e}^{-}\to \mathrm{hadrons})$ and the differential cross section for $e^{+}{e}^{-}\to H+\mathrm{anything}$, where $H$ is a hadron. We obtain new restrictions on inelastic form factors in the timelike region. One of our results is to show that field algebra is incompatible with scale invariance $\stackrel{`}{a}$ $\mathrm{la}$ Bjorken and present experimental data.