Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-06
Physics
High Energy Physics
High Energy Physics - Theory
Based on the Talk at the 15th International Seminar on High Energy Physics "QUARKS-2008", Sergiev Posad, Russia, 23-29 May, 20
Scientific paper
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 $\beta$-function, we derive the analytical expressions for the $C_F^4\alpha_s^4$-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 $\zeta_3$-term in the explicitly known part of 5-loop corrections to the QED $\beta$-function which are proportional to the conformal invariant set of $C_F^4\alpha_s^4$ -contributions into to the $e^+e^-$- annihilation Adler function.
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