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

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dc.creatorKataev, A. L.
dc.date2008-05-06
dc.date2008-10-22
dc.date.accessioned2026-07-07T10:11:55Z
dc.date.available2026-07-07T10:11:55Z
dc.descriptionConsidering 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.
dc.descriptionBased 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
dc.identifierhttps://arxiv.org/abs/0805.0621
dc.identifierhttp://arxiv.org/abs/0805.0621
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172015
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleConformal invariance and the expressions for $C_F^4α_s^4$ contributions to the Bjorken polarized and the Gross-Llewellyn Smith sum rules
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