Contributions for the kaon pair from <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>?</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>770</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>?</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>782</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> and their excited states in the <mml:math xmlns:mml="http://www.w3.org/…

We study the resonance contributions for kaon pair originating from intermediate states $\rho(770,1450,1700)$ and $\omega(782,1420,1650)$ three-body hadronic decays $B\to K\bar K h$ in perturbative QCD approach, where $h=(\pi, K)$. The branching fractions of virtual $K\bar K$ Breit-Wigner formula tails $\rho(770)$ $\omega(782)$ which have been ignored experimental theoretical studies these are found larger than corresponding resonances $\rho(1450,1700)$ $\omega(1420,1650)$. differential \rho(770) h\to $B\to\omega(782) h \to nearly unaffected by quite different values full widths this paper. predictions work quasi-two-body $B^+\to \pi^+ \rho(1450)^0\to \pi^+K^+K^-$ \pi^+\pi^+\pi^-$ meet requirement $SU(3)$ symmetry relation.