A search is presented for the pair production of new heavy resonances, each decaying into a top quark or antiquark and a gluon. The analysis uses data recorded with the CMS detector from proton-proton collisions at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 138 $\text{fb}^{-1}$. Events with one muon or electron, multiple jets, and missing transverse momentum are selected. After using a deep neural network to enrich the data sample with signal-like events, distributions in the scalar sum of the transverse momenta of all reconstructed objects are analyzed in search for a signal. No significant deviations from the standard model predictions are found. Upper limits at $95\%$ confidence level are set on the product of cross section times branching fraction squared for the pair production of two excited top quarks in the $\mathrm{t}^{*} \to \mathrm{t}\mathrm{g}$ decay channel. The upper limits range from 0.12 pb to 0.8 fb for a $\text{t}^{*}$ with spin-1/2 and from 0.015 pb to 1.0 fb for a $\text{t}^{*}$ with spin-3/2. This corresponds to mass exclusion limits up to 1050 and 1700 GeV for spin-1/2 and spin-3/2 $\mathrm{t}^{*}$ particles, respectively.
A search is presented for the pair production of new heavy resonances, each decaying into a top quark (t) or antiquark and a gluon (g). The analysis uses data recorded with the CMS detector from proton-proton collisions at a center-of-mass energy of 13 TeV at the LHC, corresponding to an integrated luminosity of 138 fb$^{-1}$. Events with one muon or electron, multiple jets, and missing transverse momentum are selected. After using a deep neural network to enrich the data sample with signal-like events, distributions in the scalar sum of the transverse momenta of all reconstructed objects are analyzed in the search for a signal. No significant deviations from the standard model prediction are found. Upper limits at 95% confidence level are set on the product of cross section and branching fraction squared for the pair production of excited top quarks in the $\mathrm{t^*}$ $\to$ tg decay channel. The upper limits range from 0.12 pb to 0.8 fb for a $\mathrm{t^*}$ with spin-1/2 and from 0.015 pb to 1.0 fb for a $\mathrm{t^*}$ with spin-3/2. These correspond to mass exclusion limits up to 1050 and 1700 GeV for spin-1/2 and spin-3/2 $\mathrm{t^*}$ particles, respectively. These are the most stringent limits to date on the existence of $\mathrm{t^*}$ $\to$ tg resonances.
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