Timelike and spacelike QCD characteristics of the $e^+e^-$ annihilation process

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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11 pages, 4 eps figures, revtex

Scientific paper

10.1007/s100520050712

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.

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