https://doi.org/10.1140/epjp/i2016-16271-7
Regular Article
On the flavour dependence of the 
correction to the relation between running and pole heavy quark masses
1
Institute for Nuclear Research of the Academy of Sciences of Russia, 117312, Moscow, Russia
2
Moscow Institute of Physics and Technology, Dolgoprudny, 141700, Moscow Region, Russia
3
Landau Institute for Theoretical Physics of the Academy of Sciences of Russia, 142432, Moscow Region, Russia
* e-mail: viktor_molokoedov@mail.ru
Received:
11
March
2016
Accepted:
8
July
2016
Published online:
9
August
2016
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 nl is presented.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016