Double diffractive meson production and the BFKL Pomeron at $e^{+}{e}^{-}$ colliders

In this Letter we study the double diffractive vector meson production in $e^{+}{e}^{-}$ collisions assuming the dominance of the BFKL pomeron exchange. We consider the non-forward solution of the BFKL equation at high energy and large momentum transfer and estimate the total cross section for the process $e^+e^- \to e^+e^- V_1 V_2$withantitagged$e^+$and$e^-$,where$V_1$and$V_2$ can be any two vector mesons ($V_i=\rho ,\omega ,\varphi ,J\mathrm{/}\mathrm{\Psi },\mathrm{{\rm Y}}$). The event rates for the future linear colliders are given.