Optimized Lambda-Parametrization for the QCD Running Coupling Constant in Spacelike and Timelike Regions

TL;DR

This paper introduces an algorithm for summing all a^2/ln(Q^2/bb^2) corrections to the QCD coupling constant, improving the understanding of its behavior in both spacelike and timelike regions.

Contribution

It presents a novel algorithm that explicitly sums a^2/ln(Q^2/bb^2) corrections for the QCD coupling, enhancing analytic continuation between spacelike and timelike regions.

Findings

Enables explicit summation of a^2/ln(Q^2/bb^2) corrections.

Improves the analytic continuation of a_s(Q^2) between spacelike and timelike regions.

Provides a more accurate description of the QCD running coupling.

Abstract

The algorithm is described that enables one to perform an explicit summation of all the (\pi^2/ ln(Q^2/Lambda^2))^N corrections to \alpha_s (Q^2) that appear owing to the analytic continuation from spacelike to timelike region of momentum transfer.