New high order relations between physical observables in perturbative QCD

Abstract

We exploit the fact that within massless perturbative QCD the same Green's function determines the hadronic contribution to the $\tau$ decay width and the moments of the $e^{+}{e}^{-}$ cross section. This allows one to obtain relations between physical observables in the two processes up to an unprecedented high order of perturbative QCD. A precision measurement of the $\tau$ decay width allows one then to predict the first few moments of the spectral density in $e^{+}{e}^{-}$ annihilations integrated up to $s\sim m_{\tau }^2$ with high accuracy. The proposed tests are in reach of present experimental capabilities.

7 pages, Latex, no figures

References in corpus (1)

• The four-loop beta-function in Quantum Chromodynamics

Cited by in corpus (13)

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• Spectral moments of two-point correlators in perturbation theory and beyond
• Testing QCD with Hypothetical Tau Leptons
• Understanding perturbative results for decays of τleptons into hadrons
• Calculating loops without loop calculations: NLO computation of pentaquark correlators
• Disentangling perturbative and power corrections in precision tau decay analysis
• Analytical continuation and resummed perturbation theory
• Perturbative QCD relations inspired by hypothetical tau leptons