On the running coupling constant in QCD

GM Prosperi, M Raciti, C Simolo - Progress in Particle and Nuclear Physics, 2007 - Elsevier
We try to review the main current ideas and points of view on the running coupling constant
in QCD. We begin by recalling briefly the classic analysis based on the Renormalization …

Deeply virtual electroproduction of photons and mesons on the nucleon: Leading order amplitudes and power corrections

M Vanderhaeghen, PAM Guichon, M Guidal - Physical Review D, 1999 - APS
We estimate the leading order amplitudes for exclusive photon and meson electroproduction
reactions at large Q 2 in the valence region in terms of skewed quark distributions. As …

Analytic invariant charge in QCD

AV Nesterenko - International Journal of Modern Physics A, 2003 - World Scientific
This paper gives an overview of recently developed model for the QCD analytic invariant
charge. Its underlying idea is to bring the analyticity condition, which follows from the …

Ten years of the analytic perturbation theory in QCD

DV Shirkov, IL Solovtsov - Theoretical and Mathematical Physics, 2007 - Springer
The renormalization group method allows improving the properties of the QCD perturbative
power series in the ultraviolet region. But it ultimately leads to unphysical singularities of …

[HTML][HTML] Renormalon-based resummation of Bjorken polarised sum rule in holomorphic QCD

C Ayala, C Castro-Arriaza, G Cvetič - Nuclear Physics B, 2024 - Elsevier
Approximate knowledge of the renormalon structure of the Bjorken polarised sum rule (BSR)
Γ‾ 1 p− n (Q 2) leads to the corresponding BSR characteristic function that allows us to …

QCD analytic perturbation theory: From integer powers to any power of the running coupling

AP Bakulev, SV Mikhailov, NG Stefanis - Physical Review D—Particles, Fields …, 2005 - APS
We propose a new generalized version of the QCD analytic perturbation theory of Shirkov
and Solovtsov for the computation of higher-order corrections in inclusive and exclusive …

Analytic perturbation theory and inclusive τ decay

KA Milton, IL Solovtsov, OP Solovtsova - Physics Letters B, 1997 - Elsevier
Analytic perturbation theory and inclusive r decay Page 1 4 December 1997 PHYSICS LETTERS
B ELSBVIER Physics Letters B 415 (1997) 104-l 10 Analytic perturbation theory and inclusive r …

Nucleon spin structure and perturbative QCD frontier on the move

RS Pasechnik, DV Shirkov, OV Teryaev… - Physical Review D …, 2010 - APS
We discuss the interplay between higher orders of the perturbative QCD expansion and
higher-twist contributions in the analysis of recent Jefferson Lab data on the lowest moments …

Analytic perturbation theory in analyzing some QCD observables

DV Shirkov - The European Physical Journal C-Particles and Fields, 2001 - Springer
This paper is devoted to the application of the recently devised ghost-free analytic
perturbation theory (APT) for the analysis of some QCD observables. We start with a …

Analytic perturbation theory for QCD observables

DV Shirkov - Theoretical and Mathematical Physics, 2001 - Springer
We investigate the connection between ghost-free formulations of the RG-invariant QCD
perturbation theory in the spacelike and timelike regions. Our basic tool is the “double …