High Precision Test of QCD at Beijing Electron Positron Collider

Abstract

The generalized Crewther relation relates the cross section ratio $R=\sigma (e^{+}{e}^{-}\to \mathrm{hadrons})/\sigma (e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-})$ in $e^{+}{e}^{-}$ annihilation with the Bjorken sum rule or the Gross-Llewellyn Smith sum rule in deep inelastic scattering and provides a fundamental connection for observables in Quantum Chromodynamics (QCD) without scale or scheme ambiguities. The ratio $R$ can be measured at the upgrated Bejing Electron Positron Collider or the $\tau$-Charm factory with higher precision and thus can be served for a high precision test of QCD in the Standard Model.

Comments: 6 page Latex file, to be published in High Energy Phys. Nucl. Phys. 23 (1999) 922-925