Analytical five-loop expressions for the renormalization group QED $\beta$-function in different renormalization schemes

Abstract

We obtain analytical five-loop results for the renormalization group $\beta$-function of Quantum Electrodynamics with the single lepton in different renormalization schemes. The theoretical consequences of the results obtained are discussed.

7 pages, 1 reference added

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• Is it possible to check urgently the 5-loop analytical results for the $e^{+}{e}^{-}$-annihilation Adler function ?
• Adler Function, DIS sum rules and Crewther Relations
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