Masses and decay constants of the heavy tensor mesons with QCD sum rules

In this article, we calculate the contributions of the vacuum condensates up to dimension-6 in the operator product expansion and study the masses and decay constants of the heavy tensor mesons $ D_{2}^{*}(2460)$, $ D_{s2}^{*}(2573)$, $ B_{2}^{*}(5747)$, $ B_{s2}^{*}(5840)$ using the QCD sum rules. The predicted masses are in excellent agreement with the experimental data, while the ratios of the decay constants $ \frac{f_{D_{s2}^{*}}}{f_{D_{2}^{*}}} \approx \frac{f_{B_{s2}^{*}}}{f_{B_{2}^{*}}} \approx\frac{f_{D_{s}}}{f_{D}} \mid_{\exp}$, where the exp denotes the experimental value