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What is the Top Quark Mass?
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abstract
In this review I give an overview on the conceptual issues involved in the question how to interpret so-called `direct top quark mass measurements', which are based on the kinematic reconstruction of top quark decay products at the Large Hadron Collider (LHC). These measurements quote the top mass parameter $m_t^{\rm MC}$ of Monte-Carlo event generators with current uncertainties of around $0.5$ GeV. At present time the problem of finding a rigorous relation between $m_t^{\rm MC}$ and top mass renormalization schemes defined in field theory is unresolved and touches perturbative as well as nonperturbative aspects and the limitations of state-of-the-art Monte-Carlo event generators. I review the status of LHC top mass measurements, illustrate how conceptual limitations enter and explain a controversy that has permeated the community in the context of the interpretation problem. Recent advances in acquiring first principle insights are summarized, and it is outlined what else has to be understood to fully resolve the issue. For the time being, I give a recommendation how to deal with the interpretation problem when making top mass dependent theoretical predictions.
Forward citations
Cited by 6 Pith papers
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On the extraction of $\alpha_\textit{em}(m_Z^2)$ at Tera-$Z$
Forward-region Bhabha ratios at Tera-Z could extract alpha_em(m_Z^2) with a projected statistical sensitivity of about 6e-6, below the current bottleneck.
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Top-quark mass interpretation from simulation of top-flavoured mesons
Comparing Pythia top-pair events to fictitious top-meson samples linked by HQET yields a 200–300 MeV shift between the Monte Carlo top mass and the pole mass.
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A Determination of the Top Mass from a Global PDF Analysis
The top-quark pole mass is determined to be 172.80 ± 0.26 GeV from a global NNPDF analysis at approximate N³LO QCD including NLO QED, EW, and toponium corrections.
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Toponium: the smallest bound state and simplest hadron in quantum mechanics
Using the b-quark production ratio at sqrt(s) near 341 GeV, a simulated CEPC experiment could discover toponium at over 5 sigma and measure the top 1S mass to about 33 MeV.
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Three-loop jet function for boosted heavy quarks
The three-loop inclusive bHQET jet function for boosted heavy quarks is computed analytically, completing the fixed-order ingredients for N3LL' top-mass observables.
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The Higgs boson through the lens of electroweak precision data
Updated Gfitter EW fit with new MW average yields SM-consistent indirect observables and, via kappa_V from oblique parameters plus LHC signal strengths, determines Gamma_H to ~10% precision under leading-log assumptions.
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