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

School of Natural Sciences

Korea University

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

67 Scopus citations

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
State	Published - 1 Mar 2004

Access to Document

10.1016/j.nuclphysb.2003.12.027

Cite this

@article{687bd894f36f4d76bc0092a39e0382a8,

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",

year = "2004",

month = mar,

day = "1",

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

language = "English",

volume = "680",

pages = "302--338",

journal = "Nuclear Physics B",

issn = "0550-3213",

number = "1-3",

}

TY - JOUR

T1 - Non-leptonic B decays into two light mesons in soft-collinear effective theory

AU - Chay, Junegone

AU - Kim, Chul

PY - 2004/3/1

Y1 - 2004/3/1

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.

UR - https://www.scopus.com/pages/publications/0742320149

U2 - 10.1016/j.nuclphysb.2003.12.027

DO - 10.1016/j.nuclphysb.2003.12.027

M3 - Article

AN - SCOPUS:0742320149

SN - 0550-3213

VL - 680

SP - 302

EP - 338

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-3

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this