22 citations · 71 across the 11 of their papers we have counts for
11 papers
The generalized Crewther relation and V-scheme: analytic results in QCD and QED
A. L. Kataev, V. S. Molokoedov
Using the analytical -scheme three-loop contribution to the perturbative Coulomb-like part of the static color potential of heavy quark-antiquark system, we obt…
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…
Notes on interplay of the QCD and EW perturbative corrections to the pole-running top-quark mass ratio
A. L. Kataev, V. S. Molokoedov
A specific representation of the known one-loop EW correction to the relation between the pole and running $\msbar$-scheme masses of the top-quark through particle masses of the St…
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…
Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the -factorization property?
A. V. Garkusha, A. L. Kataev, V. S. Molokoedov
The scheme and gauge dependence of the factorization property of the RG -function in the QCD generalized Crewther relation (GCR), which connects the non-singlet contri…
The analytical expression for the polarized Bjorken sum rule in the miniMOM scheme and the consequences for the generalized Crewther relation
A. L. Kataev, V. S. Molokoedov
The analytical perturbative QCD expression for the flavour non-singlet contribution to the Bjorken polarized sum rule in the rather applicable at present gauge…
From perturbative calculations of the QCD static potential towards four-loop pole-running heavy quarks masses relation
A. L. Kataev, V. S. Molokoedov
The summary of the available semi-analytical results for the three-loop corrections to the QCD static potential and for the contributions to the ratio of the r…
On the flavour dependence of the correction to the relation between running and pole heavy quark masses
A. L. Kataev, V. S. Molokoedov
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 -sc…
The four-loop renormalization group QCD and QED -functions in the -scheme and their analogy with the Gell-Mann--Low function in QED and QCD
A. L. Kataev, V. S. Molokoedov
The semi-analytical expression for the forth coefficient of the renormalization group -function in the -scheme is obtained in the case of the gauge group. In…