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We compute the amplitudes for non-leptonic annihilation decays of $B$ mesonsinto two particles within the pQCD collinear approach. The end pointdivergences are regulated with the help of an infrared finite gluon propagatorcharacterized by a non-perturbative dynamical gluon mass consistent with recentlattice simulations. The divergences at twist-3 are regulated by a dynamicalquark mass. Our results fit quite well the existent data of $B^0\to D_s^-K^+$and $B^0\to D_s^{-*}\bar{K}^+$ for the expected range of dynamical gluonmasses. We also make predictions for the rare decays $\bar{B}^0\to K^-K^+$,$\bar{B}^0_s\to \pi^-\pi^+,\pi^0\pi^0$, $B^+\to D_s^{(*)+}\bar{K}^0$, $B^0\toD_s^{\pm(*)} K^\mp$ and $B_s^0\to D^{\pm(*)} \pi^\mp, D^0\pi^0$.

Nonleptonic $B$ meson decays in collinear pQCD at twist-3: Effects of dynamical masses of gluons and quarks