Spin-2 $QQ\bar{Q}\bar{s}$ Tetraquarks in QCD Sum Rules

The $J^P=2^{+}$ $cc\bar{c}\bar{s}$ and $bb\bar{b}\bar{s}$ tetraquarks are studied in parallel within the two-point QCD Sum Rules framework using the same symmetric axial-vector$\otimes$axial-vector interpolating current. The current-specific OPE sectors retained through dimension seven within the stated background-field truncation are evaluated with a common symbolic construction, with the bottom channel obtained by the heavy-flavour replacement $c\to b$. The same pole-dominance and OPE-convergence criteria are imposed in both channels. The adopted charm region is $\sqrt{s_0}=5.7\text{GeV}$ with $3.6\le M_B^2\le 4.3\text{GeVsq}$, whereas the bottom region is $\sqrt{s_0}=14.3\text{GeV}$ with $9.8\le M_B^2\le 10.8\text{GeVsq}$. At representative Borel points, the extracted masses are $5.239\text{GeV}$ and $13.832\text{GeV}$, respectively. After the QCD-input, continuum-threshold, and Borel-window variations are combined, the final results are $m_{cc\bar{c}\bar{s},2^{+}}=5.239\pm 0.061\text{GeV}$ and $m_{bb\bar{b}\bar{s},2^{+}}=13.832\pm 0.059\text{GeV}$.