Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-09-28
Nucl.Phys.B568:287-304,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages LaTeX, 8 figures included
Scientific paper
10.1016/S0550-3213(99)00722-1
The interaction of the partonic fluctuation of the virtual photon in deep inelastic scattering with soft color fields describing the hadron is treated in an eikonal approximation. It is known that, in this approach, the small-x limit of the leading-order gluon distribution xg(x,Q^2) is a constant characterizing the averaged local field strength in the target. Matching the next-to-leading order calculation in this semiclassical framework with the one-loop parton model result, we obtain the next-to-leading order contribution to xg(x,Q^2). It shows a ln(1/x) enhancement at small x and is sensitive to the large distance structure of the target. The final expression is a simple integral over non-Abelian eikonal factors measuring the target color field. We derive a quantitative relation between the short-distance cutoff of this integral and the scale of the gluon distribution function in the MS-bar scheme. Our calculation demonstrates that higher order contributions can be systematically included in the semiclassical approach.
Dosch Hans Guenter
Hebecker Arthur
Metz Andreas
Pirner Hans-Juergen
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