Extracting alpha_s from Electron-Positron Annihilation around 10 GeV

Abstract

The total cross section for electron-positron annihilation into hadrons is calculated in the region just below the B meson threshold. QCD corrections up to third order, quark mass effects, initial state radiation, the running of alpha_QED and the tails of the Upsilon resonances are included in the prediction. For given alpha_s the prediction is accurate to 0.5 percent. An experimental measurement with the corresponding precision would allow to determine alpha_s with high accuracy at intermediate energies.

13 pages, LaTeX, 4 figures. Discussion of uncertainties slightly modified. Version to appear in Physical Review D. The complete paper, including figures, is also available via anonymous ftp at ftp://ttpux2.physik.uni-karlsruhe.de/ , or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints/

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• QCD Corrections to the $e^{+}{e}^{-}$ Cross Section and the $Z$ Boson Decay Rate
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• Results and Techniques of Multi-Loop Calculations
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• A Measurement of the Total Cross Section for $e^{+}{e}^{-}\to hadrons$ at $\sqrt{s}$=10.52 GeV
• Determination of the strong coupling constant from the CLEO measurement of the total hadronic cross section in $e^{+}{e}^{-}$ annihilation below 10.56 GeV
• ${\rm Y}$ Dipion Transitions at Energies Near the ${\rm Y}(4S)$
• Perspectives for the radiative return at meson factories
• Transmutation of Scale Dependence into Truncation Uncertainty via RG-Improvement of the $R(s)$ Series
• Competitive stochastic noises in coherently driven two-level atoms and quantum interference
• Bottom Quark Mass with Calibrated Uncertainty