Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-11-19
Phys.Atom.Nucl.72:465-469,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
8pages, 2 figures, one misprint (name of the author) is corrected
Scientific paper
10.1134/S1063778809030090
The moments of the heavy quark-parton distribution functions in a heavy pseudoscalar meson are calculated from QCD sum rules. Expanding these sum rules in the inverse heavy quark mass we obtain the heavy-mass limits of the moments. Comparison with the finite mass results reveals that while the heavy mass expansion works reasonably well for the $b$ quark, one has to take into account terms of higher than $(1/m_c)^2$ order for the $c$ quark. This result can provide a quantitative assessment of $c$ and $b$ quark fragmentation models based on the heavy-quark mass limit.
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