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

School of Natural Sciences

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

2 Scopus citations

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
State	Published - 3 Nov 2005

Keywords

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

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10.1016/j.physletb.2005.09.025

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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",

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T1 - SCET sum rules for heavy-to-light form factors

AU - Chay, Junegone

AU - Kim, Chul

AU - Leibovich, Adam K.

PY - 2005/11/3

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

UR - https://www.scopus.com/pages/publications/26244444688

U2 - 10.1016/j.physletb.2005.09.025

DO - 10.1016/j.physletb.2005.09.025

M3 - Article

AN - SCOPUS:26244444688

SN - 0370-2693

VL - 628

SP - 57

EP - 65

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

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

IS - 1-2

ER -

SCET sum rules for heavy-to-light form factors

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Keywords

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