The analytical $\mathcalO(a^4_s)$ expression for the polarized Bjorken sum rule in the miniMOM scheme and the consequences for the generalized Crewther relationстатья
Информация о цитировании статьи получена из
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 8 декабря 2021 г.
Аннотация:The analytical O(a^4_s) perturbative QCD expression for the flavour non-singlet contribution to the Bjorken polarized sum rule in the rather applicable at present gauge–dependent miniMOM scheme is obtained. For the considered three values of the gauge parameter, namely ξ = 0 (Landau gauge), ξ = −1 (anti–Feynman gauge) and ξ = −3 (Stefanis–Mikhailov gauge), the scheme-dependent coefficients are considerably smaller than the gauge-independent MS results. It is found that the fundamental property of the factorization of the QCD renormalization group β-function in the generalized Crewther relation, which is valid inthe gauge-invariant MS scheme up to O(a^4_s)-level at least, is unexpectedly valid at the samelevel in the miniMOM-scheme for ξ = 0, and for ξ = −1 and ξ = −3 in part.