Analysis of $α_s$ from the realization of quark-hadron duality

Abstract

We present an analysis of the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD in the context of the quark-hadron duality à la Bloom-Gilman. Our framework will be the unpolarized structure function of the proton in the resonance region. We suggest that the realization of duality is related to the inclusion of nonperturbative effects at the level of the coupling constant. The outcome of our analysis is a smooth transition from perturbative to nonperturbative QCD physics, embodied in the running of the coupling constant at intermediate scales.

To appear in the proceedings of the QCD Evolution Workshop, JLab, May 6-10, 2013. Includes ws-ijmpcs.cls