We consider non-leptonic B decays into two light mesons at leading order in soft-collinear effective theory, and show that the decay amplitudes are factorized at next-to-leading order in αs. The operators for non-leptonic B decays in the full theory are first matched to the operators in SCETI, which is the effective theory appropriate for mbΛ <μ<mb with Λ∼0.5 GeV. We evolve the operators and the relevant time-ordered products in SCETI to SCETII, which is appropriate for μ< mbΛ. Using the gauge-invariant operators in SCETII, we compute non-leptonic B decays in SCET, including the non-factorizable spectator contributions and spectator contributions to the heavy-to-light form factor. As an application, we present the decay amplitudes for B̄→ππ in soft-collinear effective theory.
ASJC Scopus subject areas
- Nuclear and High Energy Physics