The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( α s 4 $$ {\alpha}_s^4 $$ )

Abstract

Abstract 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 N4LO using recent results by Chetyrkin for these quantities computed within extended QCD including any number of fermion representations. We discuss the properties of the {β}-expansion for D A and S Bjp at higher orders which follow from the Crewther [1] and the Broadhurst-Kataev [2] relation.

Keywords

• Higher-Order Perturbative Calculations
• Factorization
• Renormalization Group