On the flavour dependence of the correction to the relation between running and pole heavy quark masses

. 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 scheme with identical numerical error bars. In this work the flavour dependence of the correction to these asymptotic series is obtained in t...

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Bibliographic Details
Published in:European physical journal plus 2016-08, Vol.131 (8), p.271
Main Authors: Kataev, A. L., Molokoedov, V. S.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Asymptotic methods
Asymptotic series
Atomic
Charm (particle physics)
Complex Systems
Condensed Matter Physics
Error correction
Flavor (particle physics)
Least squares method
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Quantum chromodynamics
Quarks
Regular Article
Theoretical
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Summary:. 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 scheme with identical numerical error bars. In this work the flavour dependence of the 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 contributions are discussed. The explicit dependence for these relations on the renormalization scale and the flavour number n l is presented.
ISSN:2190-5444
DOI:10.1140/epjp/i2016-16271-7