Abstract

We study the impact of recent LHC t-channel single top-quark and top-antiquark measurements at centre-of-mass energies of 7, 8 and 13 TeV on the parton distribution functions (PDFs) of the proton. We consider, namely, total cross sections, top-antitop cross section ratios, and differential distributions. We present a critical appraisal of the data, studying in particular how their description is affected by the theoretical details that enter the computation of the corresponding observables: QCD and electroweak higher-order corrections, the flavour scheme, and the value of the bottom-quark threshold. We perform a series of fits to the data within the NNPDF3.1 framework, whereby next-to-next-to-leading order QCD corrections are applied to single top measurements in a systematic way. We find that there exists an optimal combination of data that maximises consistency with the rest of the dataset, and efficiency in constraining the up, down and, partially, gluon PDFs.

Highlights

  • Suggested as a probe of parton distribution functions (PDFs), in particular to constrain the ratio of up and down-quark distributions at large momentum fractions x

  • We present a critical appraisal of the data, studying in particular how their description is affected by the theoretical details that enter the computation of the corresponding observables: quantum chromodynamics (QCD) and electroweak higher-order corrections, the flavour scheme, and the value of the bottom-quark threshold

  • In this paper we systematically studied the impact of t-channel single top-quark and topantiquark production data from the LHC on the determination of the proton PDFs

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Summary

Experimental data

We present the t-channel single top-quark and top-antiquark production data from ATLAS and CMS that we study in this work. We first discuss measurements of top-quark and top-antiquark total cross sections and of their ratios, and we discuss the absolute and normalised differential cross sections available as a function of various kinematic variables

Total top-quark and top-antiquark cross sections and their ratios
Differential cross sections
Data-theory comparison
QCD corrections
C-factor
EW corrections
Heavy flavour schemes
Quantitative assessment of the agreement between theory and data
Impact of single top data on PDFs
Observable-PDF correlations
Fit settings
Fit results
Observable-observable correlations
Phenomenological impact
Conclusions
Findings
A The ATLAS 8 TeV differential distributions
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