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

TL;DR

This paper uses QCD sum rules to calculate the masses and decay constants of heavy tensor mesons, incorporating vacuum condensates up to dimension-6, and finds results consistent with experimental data.

Contribution

It provides new QCD sum rule calculations for heavy tensor mesons including higher-dimensional condensate contributions, aligning well with experimental measurements.

Findings

Predicted meson masses agree with experimental data.

Decay constant ratios match experimental values.

QCD sum rules effectively describe heavy tensor meson properties.

Abstract

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.