A. L. Kataev, V. S. Molokoedov, “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 flavors”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2018, Volume 108, Issue 12,Pages <nobr>793

This article is cited in 11 papers

FIELDS, PARTICLES, AND NUCLEI

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 flavors

A. L. Kataev^ab, V. S. Molokoedov^abc

^a Institute for Nuclear Research, Russian Academy of Sciences, Moscow, Russia
^b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Russia
^c Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Russia

Abstract: Various theoretical approaches are used to determine the dependence of the estimated x $\mathcal{O}(\alpha^5_s)$ and $\mathcal{O}(\alpha^6_s)$-corrections to the quantum chromodynamics relation between pole and $\overline {MS}$ running masses of heavy quarks on the number of light flavors. It is found that recently studied asymptotic formula for the coefficients of this relation, based on the infrared-renormalon method, does not reproduce sign-alternating structure in the flavor-dependence of the five and six-loop corrections, which holds in three other used by us approaches.

Received: 09.10.2018

DOI: 10.1134/S0370274X18240013