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

Abstract

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

Comments: 9 pages, 1 figure