Nonleptonic B decays into two light mesons in soft-collinear effective theory
Abstract
We consider nonleptonic B decays into two light mesons at leading order in soft-collinear effective theory, and show that the decay amplitudes are factorized to all orders in alphas. The operators for nonleptonic B decays in the full theory are first matched to the operators in SCETI, which is the effective theory appropriate for sqrtmb Lambda <mu <mb with Lambda~0.5 GeV. We evolve the operators and the relevant time-ordered products in SCETI to SCETII, which is appropriate for mu < sqrtmb Lambda. Using the gauge-invariant operators in SCETII, we compute nonleptonic B decays in SCET, including the nonfactorizable spectator contributions and spectator contributions to the heavy-to-light form factor. As an application, we present the decay amplitudes for B ->pi,pi in soft-collinear effective theory.
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