Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Molokoedov, V. S."'
Autor:
Kataev, A. L., Molokoedov, V. S.
This work is devoted to the study of the $\{\beta\}$-expansion of the perturbative expressions for the $e^+e^-$ annihilation Adler function $D(Q^2)$ and for the related renormalization group functions, namely for the photon vacuum polarization functi
Externí odkaz:
http://arxiv.org/abs/2309.03994
Autor:
Kataev, A. L., Molokoedov, V. S.
Using the analytical $\rm{\overline{MS}}$-scheme three-loop contribution to the perturbative Coulomb-like part of the static color potential of heavy quark-antiquark system, we obtain the analytical expression for the fourth-order $\beta$-function in
Externí odkaz:
http://arxiv.org/abs/2302.03443
Autor:
Kataev, A. L., Molokoedov, V. S.
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 of the conformal anomaly $\beta(\alpha_s)/\alpha_s$ in the ${\rm{\over
Externí odkaz:
http://arxiv.org/abs/2211.10242
Autor:
Kataev, A. L., Molokoedov, V. S.
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 Standard Model is given within the Fleischer-Jegerlehner tadpole scheme,
Externí odkaz:
http://arxiv.org/abs/2201.12073
We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling $\alpha_s$ for the non-singlet contributions to Adler $D$-function and Bjorken polarized sum rule calculated previously in the $\MSbar$-scheme at the fou
Externí odkaz:
http://arxiv.org/abs/2111.12060
Autor:
Kataev, A. L., Molokoedov, V. S.
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 uncertainties of the obtained solutions, are considered. As the important phys
Externí odkaz:
http://arxiv.org/abs/1812.09258
Autor:
Kataev, A. L., Molokoedov, V. S.
In this paper various theoretical approaches are used to define the dependence of the estimated $\mathcal{O}(\alpha^5_s)$ and $\mathcal{O}(\alpha^6_s)$-corrections to the QCD relation between pole and $\rm{\overline{MS}}$ running masses of heavy quar
Externí odkaz:
http://arxiv.org/abs/1811.02867
Autor:
Kataev, A. L., Molokoedov, V. S.
The effective charges motivated method is applied to the relation between pole and $\rm{\overline{MS}}$-scheme heavy quark masses to study high order perturbative QCD corrections in the observable quantities proportional to the running quark masses.
Externí odkaz:
http://arxiv.org/abs/1809.04395
Autor:
Kataev, A. L., Molokoedov, V. S.
The asymptotic structure of the QCD perturbative relation between the on-shell and $\overline{\rm{MS}}$ heavy quark masses is studied. We estimate the five and six-loop contributions to this relation by three different techniques. First, the effectiv
Externí odkaz:
http://arxiv.org/abs/1807.05406
The scheme and gauge dependence of the factorization property of the RG $\beta$-function in the $SU(N_c)$ QCD generalized Crewther relation (GCR), which connects the non-singlet contributions to the Adler and Bjorken polarized sum rule functions, is
Externí odkaz:
http://arxiv.org/abs/1801.06231