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In order to explore the spectrum of hidden-charm scalar and tensorresonances, we study meson-meson scattering with $J^{PC}=0^{++}, 2^{++}$ in thecharmonium energy region using lattice QCD. Employing a light-quark masscorresponding to $m_\pi \approx 391$ MeV, we determine coupled-channelscattering amplitudes up to around 4100 MeV considering all kinematicallyrelevant channels consisting of a pair of open-charm mesons or a charmoniummeson with a light meson. A single isolated scalar resonance near 4000 MeV isfound with large couplings to $D\bar{D}$, $D_s \bar{D}_s$ and the kinematicallyclosed $D^* \bar{D}^*$ channel. A single tensor resonance at a similar masscouples strongly to $D\bar{D}$, $D\bar{D}^*$ and $D^* \bar{D}^*$. We comparethe extracted resonances to contemporary experimental candidate states,previous lattice results and theoretical modeling. In contrast to several otherstudies, we do not find any significant feature in the scalar amplitudesbetween the ground state $\chi_{c0}(1P)$ and the resonance found around 4000MeV.

Charmonium $\chi_{c0}$ and $\chi_{c2}$ resonances in coupled-channel scattering from lattice QCD