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C"],"published-print":{"date-parts":[[2020,7]]},"abstract":"Abstract<\/jats:title>Normalised multi-differential cross sections for top quark pair ($$\\hbox {t}{\\bar{\\hbox {t}}}$$<\/jats:tex-math>t<\/mml:mtext>t<\/mml:mtext><\/mml:mrow>\u00af<\/mml:mo><\/mml:mrow><\/mml:mover><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>) production are measured in proton-proton collisions at a centre-of-mass energy of 13$$\\,{\\text {TeV}}$$<\/jats:tex-math>TeV<\/mml:mtext><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> using events containing two oppositely charged leptons. The analysed data were recorded with the CMS detector in 2016 and correspond to an integrated luminosity of $$35.9{\\,{\\text {fb}}^{-1}} $$<\/jats:tex-math>35.9<\/mml:mn>fb<\/mml:mtext><\/mml:mrow>-<\/mml:mo>1<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>. The double-differential $$\\hbox {t}{\\bar{\\hbox {t}}}$$<\/jats:tex-math>t<\/mml:mtext>t<\/mml:mtext><\/mml:mrow>\u00af<\/mml:mo><\/mml:mrow><\/mml:mover><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> cross section is measured as a function of the kinematic properties of the top quark and of the $$\\hbox {t}{\\bar{\\hbox {t}}}$$<\/jats:tex-math>t<\/mml:mtext>t<\/mml:mtext><\/mml:mrow>\u00af<\/mml:mo><\/mml:mrow><\/mml:mover><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> system at parton level in the full phase space. A triple-differential measurement is performed as a function of the invariant mass and rapidity of the $$\\hbox {t}{\\bar{\\hbox {t}}}$$<\/jats:tex-math>t<\/mml:mtext>t<\/mml:mtext><\/mml:mrow>\u00af<\/mml:mo><\/mml:mrow><\/mml:mover><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> system and the multiplicity of additional jets at particle level. The data are compared to predictions of Monte Carlo event generators that complement next-to-leading-order (NLO) quantum chromodynamics (QCD) calculations with parton showers. Together with a fixed-order NLO QCD calculation, the triple-differential measurement is used to extract values of the strong coupling strength $$\\alpha _{S}$$<\/jats:tex-math>\u03b1<\/mml:mi>S<\/mml:mi><\/mml:msub><\/mml:math><\/jats:alternatives><\/jats:inline-formula> and the top quark pole mass ($$m_{{\\text {t}}}^{{\\text {pole}}}$$<\/jats:tex-math>m<\/mml:mi>t<\/mml:mtext><\/mml:mrow>pole<\/mml:mtext><\/mml:msubsup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>) using several sets of parton distribution functions (PDFs). The measurement of $$m_{{\\text {t}}}^{{\\text {pole}}}$$<\/jats:tex-math>m<\/mml:mi>t<\/mml:mtext><\/mml:mrow>pole<\/mml:mtext><\/mml:msubsup><\/mml:math><\/jats:alternatives><\/jats:inline-formula> exploits the sensitivity of the $$\\hbox {t}{\\bar{\\hbox {t}}}$$<\/jats:tex-math>t<\/mml:mtext>t<\/mml:mtext><\/mml:mrow>\u00af<\/mml:mo><\/mml:mrow><\/mml:mover><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> invariant mass distribution to $$m_{{\\text {t}}}^{{\\text {pole}}}$$<\/jats:tex-math>m<\/mml:mi>t<\/mml:mtext><\/mml:mrow>pole<\/mml:mtext><\/mml:msubsup><\/mml:math><\/jats:alternatives><\/jats:inline-formula> near the production threshold. Furthermore, a simultaneous fit of the PDFs, $$\\alpha _{S}$$<\/jats:tex-math>\u03b1<\/mml:mi>S<\/mml:mi><\/mml:msub><\/mml:math><\/jats:alternatives><\/jats:inline-formula>, and $$m_{{\\text {t}}}^{{\\text {pole}}}$$<\/jats:tex-math>m<\/mml:mi>t<\/mml:mtext><\/mml:mrow>pole<\/mml:mtext><\/mml:msubsup><\/mml:math><\/jats:alternatives><\/jats:inline-formula> is performed at NLO, demonstrating that the new data have significant impact on the gluon PDF, and at the same time allow an accurate determination of $$\\alpha _{S}$$<\/jats:tex-math>\u03b1<\/mml:mi>S<\/mml:mi><\/mml:msub><\/mml:math><\/jats:alternatives><\/jats:inline-formula> and $$m_{{\\text {t}}}^{{\\text {pole}}}$$<\/jats:tex-math>m<\/mml:mi>t<\/mml:mtext><\/mml:mrow>pole<\/mml:mtext><\/mml:msubsup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>. The values $$\\alpha _{S}(m_{{\\text {Z}}}) = 0.1135{}^{+0.0021}_{-0.0017}$$<\/jats:tex-math>\u03b1<\/mml:mi>S<\/mml:mi><\/mml:msub>(<\/mml:mo>m<\/mml:mi>Z<\/mml:mtext><\/mml:msub>)<\/mml:mo><\/mml:mrow>=<\/mml:mo>0.1135<\/mml:mn>-<\/mml:mo>0.0017<\/mml:mn><\/mml:mrow>+<\/mml:mo>0.0021<\/mml:mn><\/mml:mrow><\/mml:msubsup><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> and $$m_{{\\text {t}}}^{{\\text {pole}}} = 170.5 \\pm 0.8 \\,{\\text {GeV}} $$<\/jats:tex-math>m<\/mml:mi>t<\/mml:mtext><\/mml:mrow>pole<\/mml:mtext><\/mml:msubsup>=<\/mml:mo>170.5<\/mml:mn>\u00b1<\/mml:mo>0.8<\/mml:mn>GeV<\/mml:mtext><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> are extracted, which account for experimental and theoretical uncertainties, the latter being estimated from NLO scale variations. Possible effects from Coulomb and soft-gluon resummation near the $$\\hbox {t}{\\bar{\\hbox {t}}}$$<\/jats:tex-math>t<\/mml:mtext>t<\/mml:mtext><\/mml:mrow>\u00af<\/mml:mo><\/mml:mrow><\/mml:mover><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> production threshold are neglected in these parameter extractions. A rough estimate of these effects indicates an expected correction of $$m_{{\\text {t}}}^{{\\text {pole}}}$$<\/jats:tex-math>m<\/mml:mi>t<\/mml:mtext><\/mml:mrow>pole<\/mml:mtext><\/mml:msubsup><\/mml:math><\/jats:alternatives><\/jats:inline-formula> of the order of $$+1 \\,{\\text {GeV}} $$<\/jats:tex-math>+<\/mml:mo>1<\/mml:mn>GeV<\/mml:mtext><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>, which can be regarded as additional theoretical uncertainty in the current $$m_{{\\text {t}}}^{{\\text {pole}}}$$<\/jats:tex-math>m<\/mml:mi>t<\/mml:mtext><\/mml:mrow>pole<\/mml:mtext><\/mml:msubsup><\/mml:math><\/jats:alternatives><\/jats:inline-formula> extraction.<\/jats:p>","DOI":"10.1140\/epjc\/s10052-020-7917-7","type":"journal-article","created":{"date-parts":[[2020,9,25]],"date-time":"2020-09-25T06:03:50Z","timestamp":1601013830000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":50,"title":["Measurement of $$\\hbox {t}{\\bar{\\hbox {t}}}$$ normalised multi-differential cross sections in $${\\text {p}}{\\text {p}} $$ collisions at $$\\sqrt{s}=13\\,{\\text {TeV}} $$, and simultaneous determination of the strong coupling strength, top quark pole mass, and parton distribution functions"],"prefix":"10.1140","volume":"80","author":[{"given":"A. 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