Abstract.
Recently the four-loop perturbative QCD contributions to the relations between pole and running masses of charm, bottom and top quarks were evaluated in the \( \overline{MS}\) scheme with identical numerical error bars. In this work the flavour dependence of the \(O(\alpha_{s}^{4})\) correction to these asymptotic series is obtained in the semi-analytical form with the help of the least squares method. The numerical structure of the corresponding asymptotic perturbative relations between pole and running c -, b - and t -quark masses is considered and the theoretical errors of the \(O(\alpha_{s}^{4})\) contributions are discussed. The explicit dependence for these relations on the renormalization scale \( \mu^{2}\) and the flavour number nl is presented.
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Kataev, A.L., Molokoedov, V.S. On the flavour dependence of the \(O(\alpha_{s}^{4})\) correction to the relation between running and pole heavy quark masses. Eur. Phys. J. Plus 131, 271 (2016). https://doi.org/10.1140/epjp/i2016-16271-7
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DOI: https://doi.org/10.1140/epjp/i2016-16271-7