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• W2810330672 abstract "The renormalization-scheme and scale dependence of the truncated QCD perturbative expansions is one of the main sources of theoretical error of the standard model predictions, especially at intermediate energies. Recently, a class of renormalization schemes, parametrized by a single real number $C$, has been defined and investigated in the frame of the standard perturbation expansions in powers of the coupling. In the present paper we investigate the $C$-scheme variation of a Borel-improved QCD perturbation series, which implements information about the large-order divergent character of perturbation theory by means of an optimal conformal mapping of the Borel plane. In the new expansions, the powers of the strong coupling are replaced by a set of expansion functions with properties which resemble those of the expanded correlators, having in particular a singular behavior at the origin of the complex coupling plane. On the other hand, the new expansions have a tamed increase at high orders, as demonstrated by previous studies in the $overline{text{MS}}$ renormalization scheme. Using as examples the Adler function and the hadronic decay width of the $tau$ lepton, we investigate the properties of the Borel-improved expansions in the $C$-scheme, in comparison with the standard expansions in the $C$-scheme and the expansions in $overline{text{MS}}$. The variation with the renormalization scale and the prescription for the choice of an optimal value of the parameter $C$ are discussed. The good large-order behavior of the Borel-improved expansions is proved also in the $C$-scheme, which is a further argument in favor of using them in applications of perturbative QCD at intermediate energies." @default.
• W2810330672 created "2018-07-10" @default.
• W2810330672 creator A5013835407 @default.
• W2810330672 date "2018-09-19" @default.
• W2810330672 modified "2023-09-26" @default.
• W2810330672 title "Renormalization-scheme variation of a QCD perturbation expansion with tamed large-order behavior" @default.
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• W2810330672 doi "https://doi.org/10.1103/physrevd.98.056016" @default.
• W2810330672 hasPublicationYear "2018" @default.
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