A determination of the top mass from a global PDF analysis

A bstract We present an indirect determination of the top-quark pole mass m t within a global analysis of parton distribution functions (PDFs), based on the public NNPDF framework. We consider a wide range of single- and double-differential top cross-section measurements, and compare them to theoretical predictions computed at NNLO QCD accuracy with EW corrections, analysing their individual as well as combined impact on the joint ( α s , m t ) parameter space, while accounting for PDF evolution up to approximate N 3 LO QCD accuracy with QED corrections. We account for missing higher order QCD uncertainties by default. Unique to our analysis are the inclusion of, first, toponium contributions around the tt̄ t t ¯ threshold, second, state-of-the-art constraints on α s from the lattice, and finally, a detailed sensitivity study of the various ATLAS and CMS differential cross-section measurements at 8 and 13 TeV. We demonstrate explicitly how a combined determination requires the refitting of the PDFs in order to correctly correlate uncertainties. We find m t = 172 . 81 ± 0 . 26 GeV at approximate N 3 LO QCD including NLO QED, EW and toponium corrections.