Scale Setting in QCD and the Momentum Flow in Feynman Diagrams

Details Scale Setting in QCD and the Momentum Flow in Feynman Diagrams Scale Setting in QCD and the Momentum Flow in Feynman Diagrams

1994-12-09

arxiv.org/abs/hep-ph/9412265v2

Phys.Rev.D51:5924-5941,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

eqs.(51) and (83) corrected, minor typographic changes made

Scientific paper

10.1103/PhysRevD.51.5924

We present a formalism to evaluate QCD diagrams with a single virtual gluon using a running coupling constant at the vertices. This method, which corresponds to an all-order resummation of certain terms in a perturbative series, provides a description of the momentum flow through the gluon propagator. It can be viewed as a generalization of the scale-setting prescription of Brodsky, Lepage and Mackenzie to all orders in perturbation theory. In particular, the approach can be used to investigate why in some cases the ``typical'' momenta in a loop diagram are different from the ``natural'' scale of the process. It offers an intuitive understanding of the appearance of infrared renormalons in perturbation theory and their connection to the rate of convergence of a perturbative series. Moreover, it allows one to separate short- and long-distance contributions by introducing a hard factorization scale. Several applications to one- and two-scale problems are discussed in detail.

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