On the ultimate uncertainty of the top quark pole mass

Beneke, M. (Physik Department T31, Technische Universität München, James-Franck-Straße, Garching, D-85748, Germany) ; Marquard, P. (Deutsches Elektronen Synchrotron DESY, Platanenallee 6, Zeuthen, D-15738, Germany) ; Nason, P. (INFN, Sezione di Milano Bicocca, Milan, 20126, Italy) ; Steinhauser, M. (Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), Karlsruhe, D-76128, Germany)

26 October 2017

Abstract: We combine the known asymptotic behaviour of the QCD perturbation series expansion, which relates the pole mass of a heavy quark to the MS‾ mass, with the exact series coefficients up to the four-loop order to determine the ultimate uncertainty of the top-quark pole mass due to the renormalon divergence. We perform extensive tests of our procedure by varying the number of colours and flavours, as well as the scale of the strong coupling and the MS‾ mass. Including an estimate of the internal bottom and charm quark mass effect, we conclude that this uncertainty is around 110 MeV. We further estimate the additional contribution to the mass relation from the five-loop correction and beyond to be around 300 MeV.


Published in: Physics letters B (2017)
Published by: Elsevier
DOI: 10.1016/j.physletb.2017.10.054
License: CC-BY-3.0



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