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

TL;DR

This paper presents a detailed analysis of the one-loop electroweak correction to the relation between the pole and bca0a0mass of the top quark, emphasizing the significance of combined QCD and EW effects for precise mass determination.

Contribution

It provides a specific representation of the electroweak correction within the Fleischer-Jegerlehner tadpole scheme, highlighting the impact of neglecting EW effects on top-quark mass estimates.

Findings

Neglecting EW corrections causes over 10 GeV shift in top-quark mass difference.

Combined QCD and EW effects are crucial for accurate top-quark mass relations.

The shift exceeds modern uncertainties from collider data analyses.

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 $10\;{{\rm{GeV}}}$ 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.