New sets of parameter tunes for two of the colour reconnection models, quantum chromodynamics-inspired and gluon-move, implemented in thepythia8 event generator, are obtained based on the default CMSpythia8 underlying-event tune, CP5. Measurements sensitive to the underlying event performed by the CMS experiment at centre-of-mass energies\documentclass[12pt]{minimal}
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				\begin{document}$$\sqrt{s}=7$$\end{document}s=7and 13\documentclass[12pt]{minimal}
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				\begin{document}$$\,\text {Te\hspace{-.08em}V}$$\end{document}TeV, and by the CDF experiment at 1.96\documentclass[12pt]{minimal}
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				\begin{document}$$\,\text {Te\hspace{-.08em}V}$$\end{document}TeVare used to constrain the parameters of colour reconnection models and multiple-parton interactions simultaneously. The new colour reconnection tunes are compared with various measurements at 1.96, 7, 8, and 13\documentclass[12pt]{minimal}
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				\begin{document}$$\,\text {Te\hspace{-.08em}V}$$\end{document}TeVincluding measurements of the underlying-event, strange-particle multiplicities, jet substructure observables, jet shapes, and colour flow in top quark pair (\documentclass[12pt]{minimal}
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				\begin{document}$${{\text {t}} {}{\bar{\text {t}}}}$$\end{document}tt¯) events. The new tunes are also used to estimate the uncertainty related to colour reconnection modelling in the top quark mass measurement using the decay products of\documentclass[12pt]{minimal}
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				\begin{document}$${{\text {t}} {}{\bar{\text {t}}}}$$\end{document}tt¯events in the semileptonic channel at 13\documentclass[12pt]{minimal}
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				\begin{document}$$\,\text {Te\hspace{-.08em}V}$$\end{document}TeV.