6533b859fe1ef96bd12b8175
RESEARCH PRODUCT
New High Order Relations between Physical Observables in Perturbative QCD
K. SchilcherJürgen G. KörnerA. A. PivovarovA. A. PivovarovStefan Grootesubject
Quantum chromodynamicsPhysicsParticle physicsElectron–positron annihilationHadronFOS: Physical sciencesGeneral Physics and AstronomySpectral densityPerturbative QCDRenormalization groupHigh Energy Physics - ExperimentMassless particleHigh Energy Physics - PhenomenologyHigh Energy Physics - Experiment (hep-ex)Particle decayHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics::Experimentdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-10-13 | Physical Review Letters |