Abstract
In this work we present for the first time predictions for top-quark pair differential distributions at the LHC at NNLO QCD accuracy and including EW corrections. For the latter we include not only contributions of mathcal{O}left({alpha}_s^2alpha right) , but also those of order mathcal{O}left({alpha}_s{alpha}^2right) and mathcal{O}left({alpha}^3right) . Besides providing phenomenological predictions for all main differential distributions with stable top quarks, we also study the following issues. 1) The effect of the photon PDF on top-pair spectra: we find it to be strongly dependent on the PDF set used — especially for the top pT distribution. 2) The difference between the additive and multiplicative approaches for combining QCD and EW corrections: with our scale choice, we find relatively small differences between the central predictions, but reduced scale dependence within the multiplicative approach. 3) The potential effect from the radiation of heavy bosons on inclusive top-pair spectra: we find it to be, typically, negligible.
Highlights
This is achieved by combining the NNLO QCD predictions from ref. [8] with the complete LO and NLO contributions derived within the framework of ref. [34]
In this work we present for the first time predictions for top-quark pair differential distributions at the LHC at NNLO QCD accuracy and including EW corrections
In this work we derive for the first time predictions for all main top-quark pair differential distributions7 with stable top quarks at the LHC at NNLO QCD accuracy and including the following EW corrections: the NLO EW effects of O(αs2α), all subleading NLO terms of order O(αsα2) and O(α3) as well as the LO contributions of order O(αsα) and O(α2)
Summary
We present predictions for ttdistributions for the LHC at 13 TeV at NNLO QCD accuracy including EW corrections. As motivated and discussed at length, the phenomenological predictions are based on the LUXQED PDF set and on the multiplicative approach for combining QCD and EW corrections, which we will denote as QCD × EW. A variation of the multiplicative approach denoted as ΣQCD2×EW will be considered; it is defined to ΣQCD×EW in eq (3.1) but with NNLO/LO QCD K-factor While in the case of NNPDF3.0QED the impact of photon-induced contributions is relatively large and with very large uncertainties, in the case of LUXQED it is expected to be negligible For this reason in the rest of this work we always show predictions with both PDF sets
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