Abstract

Citations in the original article are corrupted due to error made by Editors QUARKS-2018. See the Full text with correct citations in PDF file.

Highlights

  • Full text with correct citations follows. It is well-known that the masses of charm, bottom and top-quarks are one of the most important QCD parameters, which are relevant for processing different data, obtained at LHC and

  • The first ones are determined by the position of pole of the renormalized fermion propagator at Minkowskian region k2 = Mq2

  • Mq(μ2) are the running masses of heavy quarks, normalized at the Minkowskian scale μ2, as(μ2) = αs(μ2)/π is the renormalized QCD coupling constant in the MS-scheme, s is the energy time-like variable

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Summary

Introduction

It is well-known that the masses of charm, bottom and top-quarks are one of the most important QCD parameters, which are relevant for processing different data, obtained at LHC and. The presented in Sec. comparison of five- and six-loop estimates, obtained within both approaches, demonstrates that the above mentioned approximate equality remains true at the 5 and 6-loops level as well This demonstrates compatibility of the estimates for heavy quark mass relations coefficients, obtained by applying ECH-inspired procedure both in the Euclidean and Minkowskian regions

The estimates by the IRR-based approach
Numerical results and their interpretation
Conclusion
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