TY - JOUR

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

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.

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 - http://www.scopus.com/inward/record.url?scp=26244444688&partnerID=8YFLogxK

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 -