Non-leptonic B decays into two light mesons in soft-collinear effective theory

Junegone Chay; Chul Kim

doi:10.1016/j.nuclphysb.2003.12.027

Non-leptonic B decays into two light mesons in soft-collinear effective theory

Junegone Chay, Chul Kim

Department of Physics

Research output: Contribution to journal › Article › peer-review

66 Citations (Scopus)

Abstract

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 α_s. The operators for non-leptonic B decays in the full theory are first matched to the operators in SCET_I, which is the effective theory appropriate for m_bΛ <μ<m_b with Λ∼0.5 GeV. We evolve the operators and the relevant time-ordered products in SCET_I to SCET_II, which is appropriate for μ< m_bΛ. Using the gauge-invariant operators in SCET_II, 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.

Original language	English
Pages (from-to)	302-338
Number of pages	37
Journal	Nuclear Physics B
Volume	680
Issue number	1-3
DOIs	https://doi.org/10.1016/j.nuclphysb.2003.12.027
Publication status	Published - 2004 Mar 1

ASJC Scopus subject areas

Nuclear and High Energy Physics

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title = "Non-leptonic B decays into two light mesons in soft-collinear effective theory",

abstract = "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 <μb 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 {\=B}→ππ in soft-collinear effective theory.",

author = "Junegone Chay and Chul Kim",

note = "Funding Information: This work was supported by Korea Research Foundation Grant (KRF-2002-041-C00052). ",

year = "2004",

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doi = "10.1016/j.nuclphysb.2003.12.027",

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AU - Chay, Junegone

AU - Kim, Chul

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PY - 2004/3/1

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N2 - 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 <μb 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.

AB - 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 <μb 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.

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