The QCD running coupling

A Deur, SJ Brodsky, GF de Teramond - Progress in Particle and Nuclear …, 2016 - Elsevier
We review the present theoretical and empirical knowledge for α s, the fundamental
coupling underlying the interactions of quarks and gluons in Quantum Chromodynamics …

The QCD renormalization group equation and the elimination of fixed-order scheme-and-scale ambiguities using the principle of maximum conformality

XG Wu, JM Shen, BL Du, XD Huang, SQ Wang… - Progress in Particle and …, 2019 - Elsevier
The conventional scale setting approach to fixed-order perturbative QCD (pQCD)
predictions is based on a guessed renormalization scale, usually taking as the one to …

Dynamical scales for multi-TeV top-pair production at the LHC

M Czakon, D Heymes, A Mitov - Journal of High Energy Physics, 2017 - Springer
A bstract We calculate all major differential distributions with stable top-quarks at the LHC.
The calculation covers the multi-TeV range that will be explored during LHC Run II and …

Renormalization group invariance and optimal QCD renormalization scale-setting: a key issues review

XG Wu, Y Ma, SQ Wang, HB Fu, HH Ma… - Reports on Progress …, 2015 - iopscience.iop.org
A valid prediction for a physical observable from quantum field theory should be
independent of the choice of renormalization scheme—this is the primary requirement of …

Renormalization scheme and gauge (in) dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?

AV Garkusha, AL Kataev, VS Molokoedov - Journal of High Energy Physics, 2018 - Springer
A bstract The problem of scheme and gauge dependence of the factorization property of the
renormalization group β-function in the SU (N c) QCD generalized Crewther relation (GCR) …

[HTML][HTML] Adler function, Bjorken Sum Rule and Crewther-Broadhurst-Kataev relation with generic fermion representations at order O (αs4)

KG Chetyrkin - Nuclear Physics B, 2022 - Elsevier
We compute the nonsinglet Adler D-function and the coefficient function for Bjorken
polarized sum rules SB jp at order O (α s 4) in an extended QCD model with arbitrary …

The three-loop Adler D-function for SQCD regularized by dimensional reduction

SS Aleshin, AL Kataev, KV Stepanyantz - Journal of High Energy Physics, 2019 - Springer
A bstract The three-loop Adler D-function for\(\mathcal {N}= 1\) SQCD in the\(\overline
{\mathrm {DR}}\) scheme is calculated starting from the three-loop result recently obtained …

The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( )

PA Baikov, SV Mikhailov - Journal of High Energy Physics, 2022 - Springer
A bstract We derive explicit expressions for the elements of the {β}-expansion for the
nonsinglet Adler D A-function and Bjorken polarized sum rules S Bjp in the N 4 LO using …

The {β}-expansion formalism in perturbative QCD and its extension

AL Kataev, SV Mikhailov - Journal of High Energy Physics, 2016 - Springer
A bstract We discuss the {β}-expansion for renormalization group invariant quantities tracing
this expansion to the different contractions of the corresponding incomplete BPHZ R …

Adler function and Bjorken polarized sum rule: Perturbation expansions in powers of the conformal anomaly and studies of the conformal symmetry limit

G Cvetič, AL Kataev - Physical Review D, 2016 - APS
We consider a new form of analytical perturbation theory expansion in the massless SU (N
c) theory, for the nonsinglet part of the e+ e--annihilation to hadrons Adler function D ns and …