Journal Article PUBDB-2023-00006

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Investigation of the scale dependence in the MSR and $\overline{\textrm{MS}}$ top quark mass schemes for the $\mathrm{t}\overline{\mathrm{t}}$ invariant mass differential cross section using LHC data

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2023
SISSA Trieste

Journal of high energy physics 09(9), 037 () [10.1007/JHEP09(2023)037]
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Report No.: DESY-23-001; UWThPh-2023-1; arXiv:2301.03546

Abstract: The computation of the single-differential top quark-antiquark pair ($\mathrm{t}\overline{\mathrm{t}}$) production cross section at NLO in the fixed-order expansion is examined consistently using the MSR and $\overline{\textrm{MS}}$ short-distance top quark mass schemes. A thorough investigation of the dependence of the $\mathrm{t}\overline{\mathrm{t}}$ invariant mass spectrum on the renormalization scales $R$ and $\mu_m$ of the MSR mass $m_\mathrm{t}^{\textrm{MSR}}(R)$ and $\overline{\textrm{MS}}$ mass $\overline{m}_\mathrm{t}(\mu_m)$, respectively, is carried out. We demonstrate that a scale choice of $R\sim 80$~GeV is important for the stability of the cross-section predictions for the low $\mathrm{t}\overline{\mathrm{t}}$ invariant mass range, which is important for a reliable extraction of the top quark mass. Furthermore, a choice of semi-dynamical renormalization and factorization scales is preferred. These findings are expected to remain valid once non-relativistic quasi-bound state effects are included in the low invariant mass region.

Keyword(s): top: mass ; scale: factorization ; differential cross section: mass ; scale: renormalization ; quark antiquark: pair ; GeV ; nonrelativistic ; stability ; interpretation of experiments: CERN LHC Coll ; mass spectrum ; scale dependence ; Quark Masses ; Top Quark

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Note: 19 pages, 6 figures

Contributing Institute(s):
  1. LHC/CMS Experiment (CMS)
  2. Uni Hamburg / Theorie (UNI/TH)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
Experiment(s):
  1. LHC: CMS
  2. LHC: ATLAS

Appears in the scientific report 2023
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 Record created 2023-01-02, last modified 2025-07-15