Abstract

We give a complete analysis of indirect determinations of the top quark mass in the Standard Model by introducing a systematic procedure to identify observables that receive quantum corrections enhanced by powers of $M_t$. We propose to use flavour physics as a tool to extract the top quark mass. Although present data give only a poor determination, we show how future theoretical and experimental progress in flavour physics can lead to an accuracy in $M_t$ well below 2 GeV. We revisit determinations of $M_t$ from electroweak data, showing how an improved measurement of the $W$ mass leads to an accuracy well below 1 GeV.

Highlights

  • A theoretical concern about the extraction of Mt from data is that the pole top mass is not a physical observable

  • The running top mass is translated into the pole mass by means of a relation known at four-loops in QCD [20]. This programme has been applied to the total inclusive ttcross section [21,22,23,24,25], from which it was possible to extract the following values of the pole top mass: 172.9 ± 2.6 GeV ATLAS[26]

  • Present or upcoming improved calculations of flavour processes in the SM are opening new frontiers in precision measurements. In light of these developments, in this paper we propose to use the comparison between experimental data and theoretical predictions of flavour processes as a way to extract the top quark mass, under the assumption that the SM is valid up to very short distance scales

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Summary

Introduction

A theoretical concern about the extraction of Mt from data is that the pole top mass is not a physical observable. This means that its experimental determination is done through the measurement of other physical observables (final-state invariant masses, kinematic distributions, total rates) that are especially sensitive to Mt. This means that its experimental determination is done through the measurement of other physical observables (final-state invariant masses, kinematic distributions, total rates) that are especially sensitive to Mt These measurements are compared to the results of theoretical calculations, which are expressed in terms of Mt in a well-defined renormalisation scheme. Much work is ongoing both on the experimental and the theoretical sides to control the size of the errors at this level

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