Model-Independent Properties of the B-Meson Distribution Amplitude

Details Model-Independent Properties of the B-Meson Distribution Amplitude Model-Independent Properties of the B-Meson Distribution Amplitude

2005-09-29

arxiv.org/abs/hep-ph/0509350v2

Phys.Rev. D72 (2005) 094028

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 5 figures; problem in Figure 4 fixed, references updated; version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.72.094028

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 phi_+(omega,mu), defined with a cutoff omega>mu. By solving the evolution equation for the distribution amplitude, an integral representation for phi_+(omega,mu) is obtained in terms an initial function phi_+(omega,mu_0) 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 lambda_B.

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