The relation between the QED charge renormalized in MSbar and on-shell schemes at four loops, the QED on-shell beta-function at five loops and asymptotic contributions to the muon anomaly at five and six loopsстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 19 июля 2013 г.
Аннотация:In this paper we compute the four-loop corrections to the QED photon self-energy Π(Q2) in the two limits of q=0 and Q2→∞. These results are used to explicitly construct the conversion relations between the QED charge renormalized in on-shell (OS) and View the MathML source scheme. Using these relations and results of Baikov et al. [1] we construct the momentum dependent part of Π(Q2,m,α) at large Q2 at five loops in both View the MathML source and OS schemes. As a direct consequence we arrive at the full result for the QED β-function in the OS scheme at five loops. These results are applied, in turn, to analytically evaluate a class of asymptotic contributions to the muon anomaly at five and six loops.