Adler function from R^{e^+e^-} measurements: experiments vs QCD theory
Abstract
Description
An experimental motivated QCD analysis of the behaviour of the Adler D-function in the Euclidian region is described. It is stressed that by taking account of $b$-quark mass-dependent $α_s^2$-effects one obtains better agreement between theoretical predictions and experimentally motivated behaviour of the D-function at large Euclidian momentum transfer. A more detailed analysis of QCD predictions, including information on quark and gluon condensates, requires more precise data on $e^+e^-\to{hadrons}$, particularly in the region $E<M_{J/Ψ}$ and $M_{J/Ψ}<E<3.6 GeV$. use of experimental determination of the D-function to test the generalized Crewther relation is outlined.
Contributed to the Proceedings of the International Workshop "e^+e^--collisions from $ϕ$ to $J/Ψ$, Novosibirsk, May 1-5, 1999; Presented at the 9th Lomonosov Conference on Elementary Particle Physics, September 20-26, 1999, MSU, Moscow; LaTeX, npb.sty, 2 eps figures included; English style of Abstract and text of the previous version is improved, few referencies are corrected
Contributed to the Proceedings of the International Workshop "e^+e^--collisions from $ϕ$ to $J/Ψ$, Novosibirsk, May 1-5, 1999; Presented at the 9th Lomonosov Conference on Elementary Particle Physics, September 20-26, 1999, MSU, Moscow; LaTeX, npb.sty, 2 eps figures included; English style of Abstract and text of the previous version is improved, few referencies are corrected