TY - JOUR
T1 - Model-independent properties of the B-meson distribution amplitude
AU - Lee, Seung J.
AU - Neubert, Matthias
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2005/11/1
Y1 - 2005/11/1
N2 - The operator product expansion is used to obtain model-independent predictions for the first two moments of the renormalized B-meson light-cone distribution amplitude +B(ω,μ), defined with a cutoff ω≤ΛUV. The leading hadronic power corrections are given in terms of the parameter Λ̄=mB-mb. From the cutoff dependence of the zeroth moment an analytical expression for the asymptotic behavior of the distribution amplitude is derived, which exhibits a negative radiation tail for ωμ. By solving the evolution equation for the distribution amplitude, an integral representation for +B(ω,μ) is obtained in terms an initial function +B(ω,μ0) defined at a lower renormalization scale. A realistic model of the B-meson light-cone distribution amplitude is proposed, which satisfies the moment relations and has the correct asymptotic behavior. This model provides an estimate for the first inverse moment and the associated parameter λB.
AB - The operator product expansion is used to obtain model-independent predictions for the first two moments of the renormalized B-meson light-cone distribution amplitude +B(ω,μ), defined with a cutoff ω≤ΛUV. The leading hadronic power corrections are given in terms of the parameter Λ̄=mB-mb. From the cutoff dependence of the zeroth moment an analytical expression for the asymptotic behavior of the distribution amplitude is derived, which exhibits a negative radiation tail for ωμ. By solving the evolution equation for the distribution amplitude, an integral representation for +B(ω,μ) is obtained in terms an initial function +B(ω,μ0) defined at a lower renormalization scale. A realistic model of the B-meson light-cone distribution amplitude is proposed, which satisfies the moment relations and has the correct asymptotic behavior. This model provides an estimate for the first inverse moment and the associated parameter λB.
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U2 - 10.1103/PhysRevD.72.094028
DO - 10.1103/PhysRevD.72.094028
M3 - Article
AN - SCOPUS:29744456018
VL - 72
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 9
M1 - 094028
ER -