Distribution Amplitudes of the Lambda_b Baryon in QCD

Details Distribution Amplitudes of the Lambda_b Baryon in QCD Distribution Amplitudes of the Lambda_b Baryon in QCD

2008-04-15

arxiv.org/abs/0804.2424v1

Phys.Lett.B665:197-204,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 3 figures

Scientific paper

10.1016/j.physletb.2008.06.004

The QCD description of exclusive decays of the $\Lambda_b$ baryon involves hadronic matrix elements of non-local light ray operators, the light-cone distribution amplitudes. We introduce the complete set of three--quark distribution amplitudes and calculate the renormalization scale dependence for the leading twist. At leading order in the strong coupling the evolution is driven by pairwise two--quark interactions: heavy--light involving Sudakov logarithms as in the B-meson case, and light--light as in light mesons. We solve the evolution equation and show that its main effect is to generate a radiative tail extending to high energies. Finally, we present simple models for the distribution amplitudes based on QCD sum rules, and study the effect of the evolution on these models.

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