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We examine the ability of experimental measurements of top-quark pairproduction to constrain both the top-quark mass and the strong coupling withinthe global MSHT parton distribution function (PDF) fit. Specifically, weconsider ATLAS and CMS measurements of differential distributions taken at acentre-of-mass energy of 8 TeV, as well as $t\bar{t}$ total cross section datataken at a variety of experiments, and compare to theoretical predictionsincluding next-to-next-to-leading order corrections. We find that supplementingthe global fit with this additional information results in relatively strongconstraints on the top-quark mass, and is also able to bound the strongcoupling in a limited fashion. Our final result is$m_t=173.0\pm0.6~\mathrm{GeV}$ and is compatible with the world average polemass extracted from cross section measurements of $172.5\pm0.7~\mathrm{GeV}$ bythe Particle Data Group. We also study the effect of different top-quark masseson the gluon parton distribution function, finding changes at high $x$ whichnonetheless lie within the large PDF uncertainties in this region.

Constraining the top-quark mass within the global MSHT PDF fit