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On the difference between the pole and the \(\bar{\mathrm{MS}}\) masses of the top quark at the electroweak scale. (English) Zbl 1311.81224

Summary: We argue that for a Higgs boson mass \(M_H\sim 125\mathrm{GeV}\), as suggested by recent Higgs searches at the LHC, the inclusion of electroweak radiative corrections in the relationship between the pole and \(\bar{\mathrm{MS}}\) masses of the top quark reduces the difference to about 1 GeV. This is relevant for the scheme dependence of electroweak observables, such as the \(\rho\) parameter, as well as for the extraction of the top quark mass from experimental data. In fact, the value currently extracted by reconstructing the invariant mass of the top quark decay products is expected to be close to the pole mass, while the analysis of the total cross section of top quark pair production yields a clean determination of the \(\bar{\mathrm{MS}}\) mass.

MSC:

81V05 Strong interaction, including quantum chromodynamics
81V22 Unified quantum theories
81T17 Renormalization group methods applied to problems in quantum field theory
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