  Recent measurements of top quark pair production cross section, which is
performed at the LHC and the Tevatron collider, are studied using Hessian
profiling technique to obtain their impact on the parton distribution functions
(PDFs). The top quark production data covers different center-of-mass energies
$\sqrt{s}$= 1.96, 5.02, 7, 8 and 13 TeV in either $pp$ or $p\bar{p}$
collisions. It is explained how the Hessian profiling method may be used to
assess the impact of these new data on PDFs and consequently on their
predictions. In this research, the impact of recent measurements of top quark
pair cross sections on different CT14, MMHT2014, and NNPDF3.0 PDF sets is
investigated. The analysis results show that the recent top quark production at
the LHC and Tevatron data provide significant constraints in particular on the
central value, relative uncertainties or both for the $s$-quark distribution
and the gluon PDFs in both of CT14, MMHT2014 PDF sets and are insensitive to
valence quark PDFs. A small constraint on the $\bar u$- sea quark distribution
for CT14 PDF is also observed. There is no impact on the NNPDF3.0 PDF set in
presence of these data.
