Notes on interplay of the QCD and EW perturbative corrections to the pole-running top-quark mass ratio

Abstract

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, where the vacuum expectation value of the Higgs field is renormalized. The importance of taking into account both the EW and QCD effects in this relation in the considered case is emphasized. It is noted that the discard of the EW corrections leads to over $10\mathrm{GeV}$ shift in the difference between the pole and running $t$-quark masses. This magnitude exceeds essentially the modern uncertainties of the considered relation, following from the treatment of the Tevatron and LHC data where both pole and running $t$-quark masses are defined in the widespread approach when only the QCD corrections are kept in mind between them.

13 pages, 2 figures, definite clarifications added; 1 extra reference added; accepted for publication in JETP Letters

References in corpus (8)

• Measuring the running top-quark mass
• Infrared Renormalization Group Flow for Heavy Quark Masses
• What is the Top Quark Mass?
• Two-loop electroweak threshold corrections in the Standard Model
• Top-quark pair hadroproduction at NNLO: differential predictions with the MSbar mass
• Combination of CDF and D0 results on the mass of the top quark using up $9.7{\mathrm{fb}}^{-1}$ at the Tevatron
• Veltman, renormalizability, calculability
• The Top Mass in Hadronic Collisions

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• Higgs Boson Mass Corrections at Three-Loops in the Top-Yukawa Sector of the Standard Model
• One-loop Renormalization of the Type-I Seesaw Model in the On-shell Scheme
• Relation between pole and running masses of heavy quarks using the principle of maximum conformality