SCET sum rules for heavy-to-light form factors

Junegone Chay; Chul Kim; Adam K. Leibovich

doi:10.1016/j.physletb.2005.09.025

SCET sum rules for heavy-to-light form factors

Junegone Chay, Chul Kim, Adam K. Leibovich

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

2 Citations (Scopus)

Abstract

We consider a sum rule for heavy-to-light form factors in soft-collinear effective theory (SCET). Using the correlation function given by the time-ordered product of a heavy-to-light current and its hermitian conjugate, the heavy-to-light soft form factor ζP can be related to the leading-order B meson shape function. Using the scaling behavior of the heavy-to-light form factor in Λ_QCD/m_b, we put a constraint on the behavior of the B meson shape function near the endpoint. We employ the sum rule to estimate the size of ζ_P with the model for the shape function and find that it ranges from 0.01 to 0.07.

Original language	English
Pages (from-to)	57-65
Number of pages	9
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	628
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physletb.2005.09.025
Publication status	Published - 2005 Nov 3

Bibliographical note

Funding Information:
We thank Ed Thorndike for his help in providing the parameters for the experimentally extracted shape function. We also thank the Institute for Nuclear Theory at the University of Washington for its hospitality and the Department of Energy for partial support during the completion of this work. J. Chay was supported by Grant No. R01-2002-000-00291-0 from the Basic Research Program of the Korea Science and Engineering Foundation. C. Kim and A.K. Leibovich were supported by the National Science Foundation under Grant No. PHY-0244599. A.K. Leibovich was also supported in part by the Ralph E. Powe Junior Faculty Enhancement Award.

Keywords

Heavy-to-light form factor
Soft-collinear effective theory
Sum rule

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2005.09.025

Cite this

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title = "SCET sum rules for heavy-to-light form factors",

abstract = "We consider a sum rule for heavy-to-light form factors in soft-collinear effective theory (SCET). Using the correlation function given by the time-ordered product of a heavy-to-light current and its hermitian conjugate, the heavy-to-light soft form factor ζP can be related to the leading-order B meson shape function. Using the scaling behavior of the heavy-to-light form factor in ΛQCD/mb, we put a constraint on the behavior of the B meson shape function near the endpoint. We employ the sum rule to estimate the size of ζP with the model for the shape function and find that it ranges from 0.01 to 0.07.",

keywords = "Heavy-to-light form factor, Soft-collinear effective theory, Sum rule",

author = "Junegone Chay and Chul Kim and Leibovich, {Adam K.}",

note = "Funding Information: We thank Ed Thorndike for his help in providing the parameters for the experimentally extracted shape function. We also thank the Institute for Nuclear Theory at the University of Washington for its hospitality and the Department of Energy for partial support during the completion of this work. J. Chay was supported by Grant No. R01-2002-000-00291-0 from the Basic Research Program of the Korea Science and Engineering Foundation. C. Kim and A.K. Leibovich were supported by the National Science Foundation under Grant No. PHY-0244599. A.K. Leibovich was also supported in part by the Ralph E. Powe Junior Faculty Enhancement Award.",

year = "2005",

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doi = "10.1016/j.physletb.2005.09.025",

language = "English",

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AU - Chay, Junegone

AU - Kim, Chul

AU - Leibovich, Adam K.

N1 - Funding Information: We thank Ed Thorndike for his help in providing the parameters for the experimentally extracted shape function. We also thank the Institute for Nuclear Theory at the University of Washington for its hospitality and the Department of Energy for partial support during the completion of this work. J. Chay was supported by Grant No. R01-2002-000-00291-0 from the Basic Research Program of the Korea Science and Engineering Foundation. C. Kim and A.K. Leibovich were supported by the National Science Foundation under Grant No. PHY-0244599. A.K. Leibovich was also supported in part by the Ralph E. Powe Junior Faculty Enhancement Award.

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Y1 - 2005/11/3

N2 - We consider a sum rule for heavy-to-light form factors in soft-collinear effective theory (SCET). Using the correlation function given by the time-ordered product of a heavy-to-light current and its hermitian conjugate, the heavy-to-light soft form factor ζP can be related to the leading-order B meson shape function. Using the scaling behavior of the heavy-to-light form factor in ΛQCD/mb, we put a constraint on the behavior of the B meson shape function near the endpoint. We employ the sum rule to estimate the size of ζP with the model for the shape function and find that it ranges from 0.01 to 0.07.

AB - We consider a sum rule for heavy-to-light form factors in soft-collinear effective theory (SCET). Using the correlation function given by the time-ordered product of a heavy-to-light current and its hermitian conjugate, the heavy-to-light soft form factor ζP can be related to the leading-order B meson shape function. Using the scaling behavior of the heavy-to-light form factor in ΛQCD/mb, we put a constraint on the behavior of the B meson shape function near the endpoint. We employ the sum rule to estimate the size of ζP with the model for the shape function and find that it ranges from 0.01 to 0.07.

KW - Heavy-to-light form factor

KW - Soft-collinear effective theory

KW - Sum rule

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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IS - 1-2

ER -

SCET sum rules for heavy-to-light form factors

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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