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

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.