Abstract
The computation of the single-differential top quark-antiquark pair (\( \textrm{t}\overline{\textrm{t}} \)) 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 different regions of the \( \textrm{t}\overline{\textrm{t}} \) invariant mass spectrum on the renormalization scales R and μm of the MSR mass \( {m}_{\textrm{t}}^{\textrm{MSR}} \)(R) and \( \overline{\textrm{MS}} \) mass \( \overline{m} \)t(μm), respectively, is carried out. We demonstrate that a scale choice of R ~ 80 GeV is important for the stability of the cross-section predictions for the low \( \textrm{t}\overline{\textrm{t}} \) 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.
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Acknowledgments
The work of A.H.H was supported in part by FWF Austrian Science Fund under the Project No. P32383-N27, the work of S.M. in part by the Bundesministerium für Bildung und Forschung under contract 05H21GUCCA, the work by T.M. and K.L. is supported by the Helmholtz Association under the contract W2/W3-123, and T.M. is also supported by the National Science Centre, Poland, research grant No. 2021/42/E/ST2/00031.
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Mäkelä, T., Hoang, A.H., Lipka, K. et al. Investigation of the scale dependence in the MSR and \( \overline{\textrm{MS}} \) top quark mass schemes for the \( \textrm{t}\overline{\textrm{t}} \) invariant mass differential cross section using LHC data. J. High Energ. Phys. 2023, 37 (2023). https://doi.org/10.1007/JHEP09(2023)037
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DOI: https://doi.org/10.1007/JHEP09(2023)037