Boosted top quarks in the peak region with N L L resummation

We present results for the 2-jettiness differential distribution for boosted top quark pairs produced in e+e collisions in the peak region accounting for QCD large-logarithm resummation at next-to-next-to-next-to-leading logarithmic order and fixed-order corrections to matrix elements at next-to-next-to-leading order calculated in the framework of soft-collinear effective theory and boosted heavy quark effective theory. Electroweak and finite-width effects are included at leading order. We study the perturbative convergence of the cross section in the pole and MSR mass schemes, with and without soft gap subtractions. We find that there is a partial cancellation between the pole mass and soft function renormalons. When renormalon subtractions concerning the top mass and the soft function are implemented, the perturbative uncertainties are, however, systematically smaller and an improvement in the stability of the peak position is observed. We find that the top MSR mass may be determined with perturbative uncertainties well below 100 MeV from the peak position of the 2-jettiness distribution. This result has important applications for Monte Carlo top quark mass calibrations.

Automated summary

In this study, the differential distribution of boosted top quark pairs in e+e collisions was investigated, with QCD large-logarithm resummation at next-to-next-to-next-to-leading logarithmic order and fixed-order corrections to matrix elements at next-to-next-to-leading order considered. It was found that implementing renormalon subtractions concerning the top quark mass and the soft function can reduce perturbative uncertainties and improve the stability of the peak position. It was also discovered that the top MSR mass can be determined with perturbative uncertainties below 100 MeV from the peak position of the 2-jettiness distribution, which has significant implications for Monte Carlo top quark mass calibrations.