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We compute the nonsinglet Adler $D$-function and the coefficient function forBjorken polarized sum rules $S^{Bjp}$ at order $O(\alpha_s^4)$ in an extendedQCD model with arbitrary number of fermion representations. TheCrewther-Broadhurst-Kataev (CBK) relation in this order is confirmed.

Adler function, Bjorken Sum Rule and Crewther-Broadhurst-Kataev relation with generic fermion representations at order $O(\alpha^4_s)$