QCD Factorization for B {r_arrow} {pi}{pi} Decays: Strong Phases and CP Violation in the Heavy Quark Limit

We show that, in the heavy quark limit, the hadronic matrix elements that enter B meson decays into two light mesons can be computed from first principles, including ''non-factorizable'' strong interaction corrections, and expressed in terms of form factors and meson light-cone distribution amplitudes. The conventional factorization result follows in the limit when both power corrections in 1/m{sub b} and radiative corrections in {alpha}{sub s} are neglected. We compute the order-{alpha}{sub s} corrections to the decays B{sub d} {r_arrow} {pi}{sup +}{pi}{sup {minus}}, B{sub d} {r_arrow} {pi}{sup 0}{pi}{sup 0} and B{sup +} {r_arrow} {pi}{sup +}{pi}{sup 0} in the heavy quark limit and briefly discuss the phenomenological implications for the branching ratios, strong phases and CP violation