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

preprint2022arXivOpen access

We compute the nonsinglet Adler $D$ -function and the coefficient function for Bjorken polarized sum rules $S^{Bjp}$ at order $O(α_s^4)$ in an extended QCD model with arbitrary number of fermion representations. The Crewther-Broadhurst-Kataev (CBK) relation in this order is confirmed.

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

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Adler function, Bjorken Sum Rule and Crewther-Broadhurst-Kataev relation with generic fermion representations at order O(αs4)O(α^4_s)O(αs4​)

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