4 papers · 1 filter
Representation of the RG-invariant quantities in perturbative QCD through powers of the conformal anomaly
A. L. Kataev, V. S. Molokoedov
In this work we consider the possibility of representing the perturbative series for renormalization group invariant quantities in QCD in the form of their decomposition in powers…
The least squares method: application to analysis of the flavor dependence of the QCD relation between pole and -scheme running heavy quark masses
A. L. Kataev, V. S. Molokoedov
The features of the ordinary least squares method, which gives a possible way to a solution of the overdetermined systems of algebraic equations and allows to estimate the uncertai…
Dependence of five and six-loop estimated QCD corrections to the relation between pole and running masses of heavy quarks on the number of light flavours
A. L. Kataev, V. S. Molokoedov
In this paper various theoretical approaches are used to define the dependence of the estimated and -corrections to the QCD relation betwee…
Multiloop contributions to the on-shell- heavy quark mass relation in QCD and the asymptotic structure of the corresponding series: the updated consideration
A. L. Kataev, V. S. Molokoedov
The asymptotic structure of the QCD perturbative relation between the on-shell and heavy quark masses is studied. We estimate the five and six-loop contributio…