Abstract
We generalize and update our former top quark mass calibration framework for Monte Carlo (MC) event generators based on the e+e− hadron-level 2-jettiness τ2 distribution in the resonance region for boosted \( t\overline{t} \) production, that was used to relate the Pythia 8.205 top mass parameter \( {m}_t^{\textrm{MC}} \) to the MSR mass \( {m}_t^{\textrm{MSR}}(R) \) and the pole mass \( {m}_t^{\textrm{pole}} \). The current most precise direct top mass measurements specifically determine \( {m}_t^{\textrm{MC}} \). The updated framework includes the addition of the shape variables sum of jet masses τs and modified jet mass τm, and the treatment of two more gap subtraction schemes to remove the \( \mathcal{O} \)(ΛQCD) renormalon related to large-angle soft radiation. These generalizations entail implementing a more versatile shape-function fit procedure and accounting for a certain type of (mt/Q)2 power corrections to achieve gap-scheme and observable independent results. The theoretical description employs boosted heavy-quark effective theory (bHQET) at next-to-next-to-logarithmic order (N2LL), matched to soft-collinear effective theory (SCET) at N2LL and full QCD at next-to-leading order (NLO), and includes the dominant top width effects. Furthermore, the software framework has been modernized to use standard file and event record formats. We update the top mass calibration results by applying the new framework to Pythia 8.305, Herwig 7.2 and Sherpa 2.2.11. Even though the hadron-level resonance positions produced by the three generators differ significantly for the same top mass parameter \( {m}_t^{\textrm{MC}} \) value, the calibration shows that these differences arise from the hadronization modeling. Indeed, we find that \( {m}_t^{\textrm{MC}} \) agrees with \( {m}_t^{\textrm{MSR}} \)(1 GeV) within 200 MeV for the three generators and differs from the pole mass by 350 to 600 MeV.
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Acknowledgments
We acknowledge support by the FWF Austrian Science Fund under the Project No. P32383-N27 and under the FWF Doctoral Program “Particles and Interactions” No. W1252-N27, the Spanish MECD Grants Nos. PID2019-105439GB-C22 and PID2022-141910NB-I00, the EU STRONG-2020 project under Program No. H2020-INFRAIA-2018-1, Grant Agreement No. 824093 and the COST Action No. CA16201 PARTICLEFACE. The work of B.D. has been partially funded by the Helmholtz Association Grant W2/W3-116 and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) — 491245950. We thank Simon Plätzer for collaboration in early stages of this project. We are grateful the Erwin-Schrödinger International Institute for Mathematics and Physics for partial support during the Programme “Quantum Field Theory at the Frontiers of the Strong Interactions”, July 31–September 1, 2023, where this article has been finalized.
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Dehnadi, B., Hoang, A.H., Jin, O.L. et al. Top quark mass calibration for Monte Carlo event generators — an update. J. High Energ. Phys. 2023, 65 (2023). https://doi.org/10.1007/JHEP12(2023)065
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DOI: https://doi.org/10.1007/JHEP12(2023)065