Timelike and spacelike QCD characteristics
e+e- annihilation process
K.A. Milton1 - I.L. Solovtsov1,2 - O.P. Solovtsova1,2
1 Department of Physics and Astronomy, University of Oklahoma, Norman, OK
2 Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia
Received: 23 November 1999 / Published online: 6 March 2000 - © Springer-Verlag 2000
We consider the Adler D-function, which is defined in the spacelike region, and the e+e- annihilation ratio smeared, according to the Poggio, Quinn, and Weinberg method, which is determined for timelike argument. We show that the method of the nonperturbative a-expansion allows one to describe these Euclidean and Minkowskian characteristics of the process of e+e- annihilation down to the lowest energy scales.
Copyright Società Italiana di Fisica, Springer-Verlag 2000