Factorization of B decays into two light mesons in soft-collinear effective theory
Abstract
We show that the amplitudes for B decays into two light mesons at leading order in soft-collinear effective theory are factorized to all orders in alpha_s. We construct gauge-invariant four-quark operators by integrating out off-shell modes. These operators do not allow gluon exchanges which contribute to nonfactorizable contributions. The Wilson coefficients of these operators can be computed by matching onto the full theory. We consider the nonfactorizable spectator interaction, which is also factorized at leading order in SCET and to all orders in alpha_s.Keywords
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