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 ttˉ
production, that was used to relate the PYTHIA 8.205 top mass parameter
mtMC to the MSR mass mtMSR(R) and the pole mass mtpole. The current most precise direct top mass measurements specifically
determine mtMC. 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 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
8.205, 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 mtMC value, the calibration shows that these
differences arise from the hadronization modeling. Indeed, we find that
mtMC agrees with m_t^{\rm MSR}(1\,\mbox{GeV}) within 200 MeV for
the three generators and differs from the pole mass by 350 to 600 MeV.Comment: 70 pages, 15 figure