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The semileptonic and nonleptonic decays of the double-beauty axial-vectortetraquark $T_{bb;\overline{u} \overline{d}}^{-}$ to a state$\widetilde{T}_{bc; \overline{u}\overline{d}}^{0}$ (hereafter $T_{bb}^{-}$ and$\widetilde{T} _{bc}^{0}$, respectively) are investigated in the context of theQCD sum rule method. The final-state tetraquark $\widetilde{T}_{bc}^{0}$ istreated as an axial-vector particle built of a heavy axial-vector diquark $b^{T}\gamma _{\mu }Cc$ and light scalar antidiquark $\overline{u}C\gamma_{5}\overline{d}^{T}$. Its spectroscopic parameters are calculated using thetwo-points sum rules by taking into account contributions of quark, gluon andmixed condensates up to dimension $10$. We study the dominant semileptonic$T_{bb}^{-} \to \widetilde{T}_{bc}^{0}l\overline{\nu }_{l}$ and nonleptonicdecays $T_{bb}^{-} \to \widetilde{T}_{bc}^{0}M$, where $M$ is one of thepseudoscalar mesons $\pi^{-}, K^{-}, D^{-}$ and $D_s^{-}$. The partial widthsof these processes are computed in terms of weak form factors $G_{i}(q^2),\i=1,2,3,4$, extracted by employing the QCD three-point sum rule approach.Predictions obtained for partial widths of considered decays are used toimprove accuracy of theoretical predictions for full width and lifetime of thetetraquark $T_{bb}^{-}$, which are important for experimental exploration ofthis exotic meson.

Semileptonic and nonleptonic decays of the axial-vector tetraquark $T_{bb;\overline{u} \overline{d}}^{-}$