2005/09/30 by Seung J. Lee, Matthias Neubert
Mathematics · Physics and Astronomy · #Amplitude #Distribution (mathematics) #Distribution function #Geometry #Hadron #High-Energy Particle Collisions Research #Inverse #Lambda #Light cone #Mathematical analysis #Mathematical physics #Mathematics #Meson #Omega #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ph
paper · pdf · doi:10.1103/physrevd.72.094028
published as Phys.Rev. D72 (2005) 094028 · 8 pages, 5 figures; problem in Figure 4 fixed, references updated; version to appear in Phys. Rev. D
arxiv created 2005/11/23 · openalex publication_date 2005/11/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 \ensuremathφ+B(\ensuremathω,\ensuremathμ), defined with a cutoff \ensuremathω\ensuremath≤\ensuremathΛUV. The leading hadronic power corrections are given in terms of the parameter \ensuremathΛ=mB\ensuremath-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 \ensuremathω\ensuremath≫\ensuremathμ. By solving the evolution equation for the distribution amplitude, an integral representation for \ensuremathφ+B(\ensuremathω,\ensuremathμ) is obtained in terms an initial function \ensuremathφ+B(\ensuremathω,\ensuremathμ0) 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 \ensuremathλB.