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We show that, in the heavy quark limit, the hadronic matrix elements thatenter $B$ meson decays into two light mesons can be computed from firstprinciples, including `non-factorizable' strong interaction corrections, andexpressed in terms of form factors and meson light-cone distributionamplitudes. The conventional factorization result follows in the limit whenboth power corrections in $1/m_b$ and radiative corrections in $\alpha_s$ areneglected. We compute the order-$\alpha_s$ corrections to the decays$B_d\to\pi^+\pi^-$, $B_d\to\pi^0\pi^0$ and $B^+\to\pi^+\pi^0$ in the heavyquark limit and briefly discuss the phenomenological implications for thebranching ratios, strong phases and CP violation.Comment: 6 pages, 1 figur

physical review letters

QCD Factorization for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">B</mml:mi><mml:mi /><mml:mo>→</mml:mo><mml:mi /><mml:mi mathvariant="italic">π</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:math>Decays: Strong Phases and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">CP</mml:mi></mml:math>Violation in the Heavy Quark Limit

QCD Factorization forB→ππDecays: Strong Phases andCPViolation in the Heavy Quark Limit