Explores numerical optimization of perturbative QCD series for the Bjorken sum rule coefficient and Adler function via renormalization group methods drawn from prior literature.
Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We compute, for the first time, the order alpha_s^4 contributions to the Bjorken sum rule for polarized electron-nucleon scattering and to the (non-singlet) Adler function for the case of a generic colour gauge group. We confirm at the same order a (generalized) Crewther relation which provides a strong test of the correctness of our previously obtained results: the QCD Adler function and the five-loop beta-function in quenched QED. In particular, the appearance of an irrational contribution proportional to zeta_3 in the latter quantity is confirmed. We obtain the commensurate scale equation relating the effective strong coupling constants as inferred from the Bjorken sum rule and from the Adler function at order alpha_s^4.
citation-role summary
background 1
citation-polarity summary
fields
hep-ph 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.
citing papers explorer
-
Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results
Explores numerical optimization of perturbative QCD series for the Bjorken sum rule coefficient and Adler function via renormalization group methods drawn from prior literature.
-
Renormalisation
An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.