Measurements of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi><mml:mover accent="true"><mml:mi>t</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math> differential cross-sections of highly boosted top quarks decaying to all-hadronic final states in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:math> collisions at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msqrt><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msqrt><mml:mo>=</mml:mo><mml:mn>13</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>TeV</mml:mi></mml:mrow></mml:math> using the ATLAS detector

Measurements are made of differential cross-sections of highly boosted pair-produced top quarks as a function of top-quark and $t\overline{t}$ system kinematic observables using proton-proton collisions at a center-of-mass energy of $\sqrt{s}=13\text{ }\text{ }\mathrm{TeV}$. The data set corresponds to an integrated luminosity of $36.1\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$, recorded in 2015 and 2016 with the ATLAS detector at the CERN Large Hadron Collider. Events with two large-radius jets in the final state, one with transverse momentum ${p}_{\mathrm{T}}>500\text{ }\text{ }\mathrm{GeV}$ and a second with ${p}_{\mathrm{T}}>350\text{ }\text{ }\mathrm{GeV}$, are used for the measurement. The top-quark candidates are separated from the multijet background using jet substructure information and association with a $b$-tagged jet. The measured spectra are corrected for detector effects to a particle-level fiducial phase space and a parton-level limited phase space, and are compared to several Monte Carlo simulations by means of calculated ${\ensuremath{\chi}}^{2}$ values. The cross-section for $t\overline{t}$ production in the fiducial phase-space region is $292\ifmmode\pm\else\textpm\fi{}7(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}71(\mathrm{syst})\text{ }\text{ }\mathrm{fb}$, to be compared to the theoretical prediction of $384\ifmmode\pm\else\textpm\fi{}36\text{ }\text{ }\mathrm{fb}$.

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