Factorization of B decays into two light mesons in soft-collinear effective theory

Junegone Chay; Chul Kim

doi:10.1103/PhysRevD.68.071502

Factorization of 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

51 Citations (Scopus)

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 α_s. We construct gauge-invariant four-quark operators by employing the effective theories SCET_I for √m _bΛμ<m_b, and SCET_II for μ < √m_bΛ with Λ∼0.5 GeV. These operators do not allow gluon exchanges between different sectors of the current and the matrix elements are reduced to the products of current matrix elements. The spectator interactions are also factorized at leading order in SCET and to all orders in α_s.

Original language	English
Article number	071502
Journal	Physical Review D
Volume	68
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevD.68.071502
Publication status	Published - 2003

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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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 αs. We construct gauge-invariant four-quark operators by employing the effective theories SCETI for √m bΛμb, and SCETII for μ < √mbΛ with Λ∼0.5 GeV. These operators do not allow gluon exchanges between different sectors of the current and the matrix elements are reduced to the products of current matrix elements. The spectator interactions are also factorized at leading order in SCET and to all orders in αs.",

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AB - 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 αs. We construct gauge-invariant four-quark operators by employing the effective theories SCETI for √m bΛμb, and SCETII for μ < √mbΛ with Λ∼0.5 GeV. These operators do not allow gluon exchanges between different sectors of the current and the matrix elements are reduced to the products of current matrix elements. The spectator interactions are also factorized at leading order in SCET and to all orders in αs.

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Factorization of B decays into two light mesons in soft-collinear effective theory

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