  In this article, we calculate the contributions of the vacuum condensates up
to dimension-6 in the operator product expansion, 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
$\frac{f_{D_{s2}^*}}{f_{D_{2}^*}}\approx\frac{f_{B_{s2}^*}}{f_{B_{2}^*}}\approx\frac{f_{D_{s}}}{f_{D}}\mid_{\rm
exp}$, where the exp denotes the experimental value.
