  The renormalon calculus is used to calculate the terms of order
$\beta_0^{n-1}\alpha_s^n$ in the perturbative expansions of the Wilson
coefficients and hard-scattering kernels entering the QCD factorization formula
for hadronic B-meson decays into two light pseudoscalar mesons. The asymptotic
behavior of the expansions is analyzed, and a minimal model of power
corrections arising from soft ``non-factorizable'' gluon exchange to the B->pi
K,pi pi decay amplitudes is obtained, which takes into account the structure of
the leading and subleading infrared renormalon singularities. Whereas the
resulting power corrections are generally very small, some of the
strong-interaction phases of the hard-scattering kernels receive sizeable
two-loop corrections. The implications of these findings on CP asymmetries and
branching ratios are investigated.
