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A search for the production of a top quark in association with a photon andadditional jets via flavor changing neutral current interactions is presented.The analysis uses proton-proton collision data recorded by the CMS detector ata center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of138 fb$^{-1}$. The search is performed by looking for processes where a singletop quark is produced in association with a photon, or a pair of top quarkswhere one of the top quarks decays into a photon and an up or charm quark.Events with an electron or a muon, a photon, one or more jets, and missingtransverse momentum are selected. Multivariate analysis techniques are used todiscriminate signal and standard model background processes. No significantdeviation is observed over the predicted background. Observed (expected) upperlimits are set on the branching fractions of top quark decays:$\mathcal{B}$(t$\to$u$\gamma$) $\lt$ 0.95$\times$10$^{-5}$(1.20$\times$10$^{-5}$) and $\mathcal{B}$(t$\to$c$\gamma$) $\lt$1.51$\times$10$^{-5}$ (1.54$\times$10$^{-5}$) at 95% confidence level, assuminga single nonzero coupling at a time. The obtained limit for$\mathcal{B}$(t$\to$u$\gamma$) is similar to the current best limit, while thelimit for $\mathcal{B}$(t$\to$c$\gamma$) is significantly tighter than previousresults.

Search for flavor changing neutral current interactions of the top quark  in final states with a photon and additional jets in proton-proton collisions  at $\sqrt{s}$ = 13 TeV