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

Maekelae, Toni; Hoang, André; Lipka, Katerina; Moch, Sven-Olaf

Preprint

PUBDB-2023-00184

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

Maekelae, T. (Corresponding author)Extern* ; Hoang, A. ; Lipka, K.DESY* ; Moch, S.-O.Extern*

2023

[10.3204/PUBDB-2023-00184]

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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-00184

Report No.: DESY-23-001; 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 ; CERN LHC Coll ; mass spectrum ; scale dependence