How precisely does the measured top mass equal the pole mass?
In plain words
Colliders extract the top-quark mass by matching data to computer event simulations, and that parameter is not exactly the mass defined in theory calculations. The mismatch is now as large as the measurement errors.
Precise statement
Quantify the relation $m_t^{\mathrm{MC}} = m_t^{\mathrm{pole}} + \Delta$ between the top mass parameter of parton-shower event generators and the pole (or MSR) mass, including the $\operatorname{O}(\Lambda_{\mathrm{QCD}})$ renormalon ambiguity of the pole mass. An answer is Delta with uncertainty below $\sim 0.3\,\mathrm{GeV}$ and a calibration usable by LHC analyses.
What would settle it
First-principles calculations of parton-shower mass schemes calibrated against hadron-level NNLL plus NNLO predictions of top-mass-sensitive observables.
Status in the literature
Unverified note: it names recent work and was partly written without a live literature search; it awaits a check by an editor.
Calibration studies (2018 to 2025) estimate $\Delta$ of order $0.5\,\mathrm{GeV}$ with comparable uncertainty.
Results
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