Analysis of $D^*_sD^*K^*$ and $ D_{s1} D_1 K^*$ vertices in three-point sum rules

TL;DR

This paper calculates the coupling constants of specific meson vertices using three-point QCD sum rules, considering SU(3) symmetry and non-perturbative effects, and compares results with other methods.

Contribution

It provides new calculations of coupling constants for $D^*_sD^*K^*$ and $D_{s1}D_1K^*$ vertices considering SU(3) symmetry and non-perturbative effects within the three-point sum rules framework.

Findings

Coupling constants were successfully calculated for off-shell charm and K$^*$ cases.

Non-perturbative effects like condensate corrections significantly impact the results.

Results were compared with other predictive methods, showing consistency or differences.

Abstract

In this study, the coupling constant of $D^*_sD^*K^*$ and $D_{s1}D_1K^*$ vertices were determined within the three-point Quantum chromodynamics sum rules method with and without consideration of the $SU_{f}(3)$ symmetry. The coupling constants were calculated for off-shell charm and K$^*$ cases. Considering the non-perturbative effect of the correlation function, as the most important contribution, the quark-quark, quark-gluon, and gluon-gluon condensate corrections were estimated and were compared with other predictive methods.