Top-pair production at the LHC through NNLO QCD and NLO EW

In this work we present for the fi rst 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 O (alpha(2)(s)alpha), but also those of order O (alpha(s)alpha(2)) and O (alpha(3)). Besides providing phenomenological predictions for all main di ff erential distributions with stable top quarks, we also study the following issues. 1) The e ff ect of the photon PDF on top-pair spectra: we fi nd it to be strongly dependent on the PDF set used - especially for the top p T distribution. 2) The di ff erence between the additive and multiplicative approaches for combining QCD and EW corrections: with our scale choice, we fi nd relatively small di ff erences between the central predictions, but reduced scale dependence within the multiplicative approach. 3) The potential e ff ect from the radiation of heavy bosons on inclusive top-pair spectra: we fi nd it to be, typically, negligible.