R(s) and hadronic tau-Decays in Order alpha_s^4: technical aspects

Abstract

We report on some technical aspects of our calculation of alpha_s^4 corrections to R(s) and the semi-leptonic tau decay width [1-3]. We discuss the inner structure of the result as well as the issue of its correctness. We demonstrate recently appeared independent evidence positively testing one of two components of the full result.

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• Recurrent form of the renormalization group relations for the higher-order hadronic vacuum polarization function perturbative expansion coefficients
• Theoretical determination of the hadronic (g-2) of the muon
• Precise Determinations of the Charm and Bottom Quark Masses
• Low-energy moments of non-diagonal quark current correlators at four loops
• Spectral sum of current correlators from lattice QCD