Perturbative relations between e+e− annihilation and τ decay observables including resummation effects

1997/04/24 by S. Groote, J. G. Körner, Jürgen Körner +1 · 1 citation
Physics and Astronomy · #Particle physics theoretical and experimental studies #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0370-2693(97)00719-3

published as Phys.Lett. B407 (1997) 66-72 · 10 pages, LaTeX, 2 postscript figures

arxiv created 1997/04/24 · openalex publication_date 1997/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

By exploiting the analyticity properties of the two-point current-current correlator we obtain numerical predictions for the e⁺e^- moments in terms of the τ decay rate. We perform a partial resummation of the pertinent perturbative series expansion by solving the renormalization group equation for Adler's function. Our predictions are renormalization scheme independent but depend on the order of the perturbative β-function expansion. The analysis involves the unknown five-loop coefficient k₃ for which we give some new estimates.

Citations

• QCD Tests from Tau Decays

Cited by

• Spectral moments of two-point correlators in perturbation theory and beyond