This article is cited in 7 papers

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^ab, V. S. Molokoedov<sup>ab

a</sup> Institute for Nuclear Research, Russian Academy of Sciences, Moscow, Russia
^b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia

Abstract: We consider the ordinary least squares method, which allows solving overdetermined systems of algebraic equations and estimating the error of the obtained solutions. As an important physical example, we determine the four-loop QCD coefficients in the dependence of the relation between poles and running heavy quarks masses on the number of light flavors. For this, we use the existing results of supercomputer calculations of the corresponding four-loop contributions with different fixed numbers of light flavors. We demonstrate the stability of the found solutions under changing the number of considered equations and unknowns.

Keywords: least squares method, QCD heavy quark mass.

Received: 20.12.2018
Revised: 13.03.2019

DOI: 10.4213/tmf9687

 English version: Theoretical and Mathematical Physics, 2019, 200:3, 1374–1382

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