Parameters of the tensor tetraquark bbc̄c̄

The mass and width of the tensor tetraquark T=bbc̄c̄ with spin-parity JP=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 bTCγ μb and c̄γ νCc̄T with C being the charge conjugation matrix. The mass m=(12795± 90)~MeV 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 → Bc⁻Bc⁻, Bc⁻Bc⁻, and Bc⁻Bc⁻. 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 Γ=(55.5 ± 8.7)~MeV, as well as the mass of the tetraquark T can be useful in investigations of fully heavy four-quark mesons.