Doubly charged vector tetraquark

We explore properties of the doubly charged vector tetraquark ${Z}_{V}^{++}=\left[cu\right]\left[\stackrel{‾}{s}\stackrel{‾}{d}\right]$ built of four quarks of different flavors using the QCD sum rule methods. The mass and current coupling of ${Z}_{V}^{++}$ are computed in the framework of the QCD two-point sum rule approach by taking into account quark, gluon and mixed vacuum condensates up to dimension 10. The full width of this tetraquark is saturated by S-wave ${Z}_{V}^{++}\to {\pi }^{+}{D}_{s1}{\left(2460\right)}^{+}$, ${\rho }^{+}{D}_{s0}^{⁎}{\left(2317\right)}^{+}$, and P-wave ${Z}_{V}^{++}\to {\pi }^{+}{D}_{s}^{+},\phantom{\rule{0.25em}{0ex}}{K}^{+}{D}^{+}$ decays. Strong couplings required to find partial widths of aforementioned decays are calculated in the context of the QCD light-cone sum rule method and a soft-meson approximation. Our predictions for the mass $m=\left(3515±125\right)\text{MeV}$ and full width ${\Gamma }_{\mathrm{full}}={156}_{-30}^{+56}\text{MeV}$ of ${Z}_{V}^{++}$ are useful to search for this exotic meson in various processes. Recently, the LHCb collaboration discovered neutral states ${X}_{0\left(1\right)}\left(2900\right)$ as resonance-like peaks in ${D}^{-}{K}^{+}$ invariant mass distribution in the decay ${B}^{+}\to {D}^{+}{D}^{-}{K}^{+}$. We argue that mass distribution of ${D}^{+}{K}^{+}$ mesons in the same B decay can be used to observe the doubly charged scalar ${Z}_{S}^{++}$ and vector ${Z}_{V}^{++}$ tetraquarks.