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

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

1999-05-11

arxiv.org/abs/hep-ph/9905312v1

Phys.Rev.Lett.83:1914-1917,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.83.1914

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 $1/m_b$ and radiative corrections in $\alpha_s$ are neglected. 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 heavy quark limit and briefly discuss the phenomenological implications for the branching ratios, strong phases and CP violation.

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