QCD Factorization for $B\toππ$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit

M. Beneke; G. Buchalla; M. Neubert; C. Sachrajda

Paper

QCD Factorization for $B\toππ$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit

Abstract

We show that, in the heavy quark limit, the hadronic matrix elements that enter

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

and radiative corrections in

are neglected. We compute the order-

corrections to the decays

and

in the heavy quark limit and briefly discuss the phenomenological implications for the branching ratios, strong phases and CP violation.