Conformal invariance and the expressions for $C_F^4α_s^4$ contributions to the Bjorken polarized and the Gross-Llewellyn Smith sum rules
Abstract
Description
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.
Based on the Talk at the 15th International Seminar on High Energy Physics "QUARKS-2008", Sergiev Posad, Russia, 23-29 May, 2008 More detailed presentation, clarification in the abstract made, references added, special Acknowledgements added. Conclusions not changed
Based on the Talk at the 15th International Seminar on High Energy Physics "QUARKS-2008", Sergiev Posad, Russia, 23-29 May, 2008 More detailed presentation, clarification in the abstract made, references added, special Acknowledgements added. Conclusions not changed