The Top Mass: Interpretation and Theoretical Uncertainties

Currently the most precise LHC measurements of the top quark mass are determinations of the top quark mass parameter of Monte-Carlo (MC) event generators reaching uncertainties of well below

1

GeV. However, there is an additional theoretical problem when using the MC top mass

m_t^{\rm MC}

as an input for theoretical predictions, because a rigorous relation of

m_t^{\rm MC}

to a renormalized field theory mass is, at the very strict level, absent. In this talk I show how - nevertheless - some concrete statements on

m_t^{\rm MC}

can be deduced assuming that the MC generator behaves like a rigorous first principles QCD calculator for the observables that are used for the analyses. I give simple conceptual arguments showing that in this context

m_t^{\rm MC}

can be interpreted like the mass of a heavy-light top meson, and that there is a conversion relation to field theory top quark masses that requires a non-perturbative input. The situation is in analogy to B physics where a similar relation exists between experimental B meson masses and field theory bottom masses. The relation gives a prescription how to use

m_t^{\rm MC}

as an input for theoretical predictions in perturbative QCD. The outcome is that at this time an additional uncertainty of about

1

GeV has to be accounted for. I discuss limitations of the arguments I give and possible ways to test them, or even to improve the current situation.

Note:

8 pages, 3 figures. Proceedings of TOP2014, 7th International Workshop on Top Quark Physics, Cannes, France, September 29 - October 3 2014

top: mass
mass: renormalization
mass: energy dependence
mass: error
numerical calculations: Monte Carlo
quantum chromodynamics: perturbation theory

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