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The mass and meson-current coupling of the diquark-antidiquark states withthe quantum numbers $J^{P}=0^{+}$ and quark contents $Z_{q}=[cq][\bar {b} \barq ]$ and $Z_{s}=[cs][\bar {b} \bar s]$ are calculated using two-point QCD sumrule approach. In calculations the quark, gluon and mixing condensates up toeight dimensions are taken into account. The parameters of the scalartetraquarks extracted from this analysis are employed to explore the strongvertices $Z_q B_c \pi $, $Z_q B_c \eta $ and $Z_s B_c \eta $ and compute thecouplings $g_{Z_qB_c \pi }$, $g_{Z_qB_c \eta }$ and $g_{Z_sB_c \eta }$. Thestrong couplings are obtained within the soft-meson approximation of QCDlight-cone sum rule method: they form, alongside with other parameters, thebasis for evaluating the widths of $Z_q \to B_c \pi$, $% Z_q \to B_c \eta$ and$Z_s \to B_c \eta$ decays. Obtained in this work results for the mass of thetetraquarks $Z_{q}$ and $Z_{s}$ are compared with available predictionspresented in the literature.

Open charm-bottom scalar tetraquarks and their strong decays