Parameters of the tensor tetraquark

The mass and width of the tensor tetraquark $T=bb\stackrel{‾}{c}\stackrel{‾}{c}$ with spin-parity ${J}^{P}={2}^{+}$ are calculated in the context of the QCD sum rule method. The tetraquark T is modeled as a diquark-antidiquark state built of components ${b}^{T}C{\gamma }_{\mu }b$ and $\stackrel{‾}{c}{\gamma }_{\nu }C{\stackrel{‾}{c}}^{T}$ with C being the charge conjugation matrix. The mass $m=\left(12.795±0.095\right)\phantom{\rule{0.25em}{0ex}}\mathrm{GeV}$ of the exotic tensor meson T is found by means of the two-point sum rule approach. Its full width Γ is evaluated by considering processes $T\to {B}_{c}^{-}{B}_{c}^{-}$, ${B}_{c}^{-}{B}_{c}^{⁎-}$, and ${B}_{c}^{⁎-}{B}_{c}^{⁎-}$. Partial widths of these decays are computed by means of the three-point sum rule approach which is used to determine the strong couplings at relevant tetraquark-meson-meson vertices. Predictions obtained for the width ${\Gamma }_{T}={55.5}_{-9.9}^{+10.6}\phantom{\rule{0.25em}{0ex}}\mathrm{MeV}$, as well as the mass of the tetraquark T can be useful in investigations of fully heavy four-quark mesons.