Strong coupling constant of h${}_b$ vector to the pseudoscalar and vector $B_c$ mesons in QCD sum rules

The strong coupling constant g${}_{h_b{B}_c^{PS}{B}_c^V}$ is calculated using the three-point QCD sum rules method. We use correlation functions to obtain these strong coupling constants with contributions of both B${}_c^{PS}$ and B${}_c^V$mesons as off-shell states. The contributions of two gluon condensates as a radiative correction are considered. The results show that g${}_{h_b{B}_c^{PS}{B}_c^V}=8.80\pm 2.84Ge{V}^{-1}$and g${h{b}B_{c}^{V} B_{c}^{PS}}=9.34\pm 3.12 GeV^{-1}$inthe$B_{c}^{PS}$and$B_{c}^{V}$ off-shell state, respectively.