Dynamical scales for multi-TeV top-pair production at the LHC
Michal Czakon, David Heymes, Alexander Mitov

TL;DR
This paper provides detailed predictions for top-quark pair production at multi-TeV energies at the LHC, introducing dynamic scales for improved accuracy and highlighting the importance of updated PDFs for precision measurements.
Contribution
It introduces a set of dynamic scales for high-energy top-pair production calculations and provides high-quality differential distributions across the multi-TeV range.
Findings
Scale uncertainty is well-controlled at high energies.
PDFs are now the dominant source of uncertainty in TeV top production.
Predictions will aid future precision measurements and PDF improvements.
Abstract
We calculate all major differential distributions with stable top-quarks at the LHC. The calculation covers the multi-TeV range that will be explored during LHC Run II and beyond. Our results are in the form of high-quality binned distributions. We offer predictions based on three different parton distribution function (pdf) sets. In the near future we will make our results available also in the more flexible fastNLO format that allows fast re-computation with any other pdf set. In order to be able to extend our calculation into the multi-TeV range we have had to derive a set of dynamic scales. Such scales are selected based on the principle of fastest perturbative convergence applied to the differential and inclusive cross-section. Many observations from our study are likely to be applicable and useful to other precision processes at the LHC. With scale uncertainty now under good…
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