Strong coupling constant of ${h}_{b}$ vector to the pseudoscalar and vector ${B}_{c}$ mesons in QCD sum rules

The strong coupling constant <math><msub><mi>g</mi><mrow><msub><mi>h</mi><mi>b</mi></msub><msubsup><mi>B</mi><mrow><mi>c</mi></mrow><mi mathvariant="normal">PS</mi></msubsup><msubsup><mi>B</mi><mrow><mi>c</mi></mrow><mi mathvariant="normal">V</mi></msubsup></mrow></msub></math> is calculated using the three-point QCD sum-rule method. We use correlation functions to obtain these strong coupling constants with contributions of both <math><msubsup><mi>B</mi><mrow><mi>c</mi></mrow><mi mathvariant="normal">PS</mi></msubsup></math> and <math><msubsup><mi>B</mi><mrow><mi>c</mi></mrow><mi mathvariant="normal">V</mi></msubsup></math> mesons as off-shell states. The contributions of two gluon condensates as a radiative correction are considered. The results show that <math><mrow><msub><mi>g</mi><mrow><msub><mi>h</mi><mi>b</mi></msub><msubsup><mi>B</mi><mrow><mi>c</mi></mrow><mi mathvariant="normal">PS</mi></msubsup><msubsup><mi>B</mi><mrow><mi>c</mi></mrow><mi mathvariant="normal">V</mi></msubsup></mrow></msub><mo>=</mo><mn>8.80</mn><mo>±</mo><mn>2.84</mn><mspace width="0.166667em"/><mspace width="0.333333em"/><msup><mtext>GeV</mtext><mrow><mo>-</mo><mn>1</mn></mrow></msup></mrow></math> and <math><mrow><msub><mi>g</mi><mrow><msub><mi>h</mi><mi>b</mi></msub><msubsup><mi>B</mi><mrow><mi>c</mi></mrow><mi mathvariant="normal">V</mi></msubsup><msubsup><mi>B</mi><mrow><mi>c</mi></mrow><mi mathvariant="normal">PS</mi></msubsup></mrow></msub><mo>=</mo><mn>9.34</mn><mo>±</mo><mn>3.12</mn><mspace width="0.166667em"/><msup><mtext>GeV</mtext><mrow><mo>-</mo><mn>1</mn></mrow></msup></mrow></math> in the <math><msubsup><mi>B</mi><mrow><mi>c</mi></mrow><mi mathvariant="normal">PS</mi></msubsup></math> and <math><msubsup><mi>B</mi><mrow><mi>c</mi></mrow><mi mathvariant="normal">V</mi></msubsup></math> off-shell state, respectively.