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arXiv · 0805.0621

Conformal invariance and the expressions for $C_F^4α_s^4$ contributions to the Bjorken polarized and the Gross-Llewellyn Smith sum rules

A. L. Kataev
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Abstract

Considering massless axial-vector-vector triangle diagram in the conformal invariant limit and the the results of recent distinguished analytical calculations of the 5-loop single-fermion loop corrections to the QED $β$-function, we derive the analytical expressions for the $C_F^4α_s^4$-contributions to the Bjorken polarized and Gross-Llewellyn Smith sum rule. This visible in future evaluation can shed extra light on the reliability of the appearance of $ζ_3$-term in the explicitly known part of 5-loop corrections to the QED $β$-function which are proportional to the conformal invariant set of $C_F^4α_s^4$ -contributions into to the $e^+e^-$- annihilation Adler function.

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A. L. Kataev. 2008-10-22. Conformal invariance and the expressions for $C_F^4α_s^4$ contributions to the Bjorken polarized and the Gross-Llewellyn Smith sum rules. https://arxiv.org/abs/0805.0621

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