Evolution paths for small-x structure functions
Nov, 1990
18 pages
Published in:
- Nucl.Phys.B 357 (1991) 167-184,
- Nucl.Phys.B 357 (1991) 167-184
- Published: Jun 24, 1991and
- Published: 1991
DOI:
- 10.1016/0550-3213(91)90463-8 (publication)
Report number:
- CAVENDISH-HEP-90-9,
- LPTHE-90-44,
- UPRF-90-278
Citations per year
Abstract: (Elsevier B.V.)
We compare the solutions of the “one-loop” (summing αS ln″ Q2) and “all-loop” (including also α″S ln″ x) evolution equations for small-x structure functions. In the semi-classical approximation one can define evolution paths in the (ln x, ln Q2)-plane, which are helpful in understanding many features of the solutions. We compute the asymptotic form of the mean path and the dispersion of paths for both the one-loop and all-loop cases, and compare the results with those of Monte Carlo simulations. We also use the Monte Carlo simulations to study the infrared stability of small-x evolution. Our results explain why the one loop and all-loop solutions are similar, over a wide range of x and Q2, especially when the input structure function at low Q2 is a rapidly increasing function of .- lepton nucleon: deep inelastic scattering
- deep inelastic scattering: lepton nucleon
- structure function: small-x
- quantum chromodynamics
- perturbation theory: higher-order
- approximation: semiclassical
- Mellin transformation
- dispersion
- effect: coherence
- saddle-point approximation
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