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The $\chi_\mathrm{b1}$(3P) and $\chi_\mathrm{b2}$(3P) states are observedthrough their $\Upsilon$(3S) $\gamma$ decays, using an event sample ofproton-proton collisions collected by the CMS experiment at the CERN LHC. Thedata were collected at a center-of-mass energy of 13 TeV and correspond to anintegrated luminosity of 80.0 fb$^{-1}$. The $\Upsilon$(3S) mesons areidentified through their dimuon decay channel, while the low-energy photons aredetected after converting to e$^+$e$^-$ pairs in the silicon tracker, leadingto a $\chi_\mathrm{b}$(3P) mass resolution of 2.2 MeV. This is the first timethat the $J =$ 1 and 2 states are well resolved and their masses individuallymeasured: 10$\,$513.42 $\pm$ 0.41 (stat) $\pm$ 0.18 (syst) MeV and 10$\,$524.02$\pm$ 0.57 (stat) $\pm$ 0.18 (syst) MeV; they are determined with respect tothe world-average value of the $\Upsilon$(3S) mass, which has an uncertainty of0.5 MeV. The mass splitting is measured to be 10.60 $\pm$ 0.64 (stat) $\pm$0.17 (syst) MeV.

Observation of the $\chi_\mathrm{b1}$(3P) and $\chi_\mathrm{b2}$(3P) and measurement of their masses