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


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Abstract

Various theoretical approaches are used to determine the dependence of the estimated x O(αs5) and O(αs6)-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.

About the authors

A. L. Kataev

Institute for Nuclear Research; Moscow Institute of Physics and Technology (State University)

Author for correspondence.
Email: kataev@ms2.inr.ac.ru
Russian Federation, Moscow, 117312; Dolgoprudnyi, Moscow region, 141700

V. S. Molokoedov

Institute for Nuclear Research; Moscow Institute of Physics and Technology (State University); Landau Institute for Theoretical Physics

Email: kataev@ms2.inr.ac.ru
Russian Federation, Moscow, 117312; Dolgoprudnyi, Moscow region, 141700; Chernogolovka, Moscow region, 142432

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