Running coupling at small momenta, renormalization schemes and renormalons

Abstract

We suggest a method of summing the perturbation theory (PT) asymptotic series related to infrared (IR) renormalons in QCD by using special renormalization schemes in which the running coupling can be integrated over the region of small momenta. For the method to work, one should consider higher order PT corrections to the standard bubble-chain diagrams. High-order corrections allow one to choose a scheme in which the coupling evolution can smoothly be extrapolated to small momenta. In such schemes the sum of an (extended) IR-renormalon asymptotic series is defined as an integral of the running coupling over the IR region. We give explicit examples of renormalization schemes in QCD which can be used for summing IR-renormalon asymptotic series according to our definition.

revised version to be published in Yad. Fiz., misprints corrected, references updated, 19 pages, latex

References in corpus (10)

• Renormalons
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond
• Nonperturbative Corrections in Resummed Cross Sections
• Matching QCD and HQET heavy--light currents at two loops and beyond
• Next-to-next-to-leading order vacuum polarization function of heavy quark near threshold and sum rules for $b\bar{b}$ system
• Renormalization schemes and renormalons
• On a subtle point of sum rules calculations: toy model
• High order corrections to the Renormalon
• Dynamical masses of quarks in quantum chromodynamics

Cited by in corpus (7)

• On the running coupling constant in QCD
• Analytic Invariant Charge in QCD
• A Model for the Twist-3 Wave Function of the Pion and Its Contribution to the Pion Form Factor
• On the role of power expansions in quantum field theory
• Inclusive weak decays of heavy hadrons with power suppressed terms at NLO
• Leptonic constants of heavy quarkonia in potential approach of NRQCD
• Spectrality, coupling constant analyticity and the renormalization group