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, 1991
    and
  • Published: 1991
DOI:
Report number:
  • CAVENDISH-HEP-90-9,
  • LPTHE-90-44,
  • UPRF-90-278

Citations per year

1991199620012006201102468
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 1x.
  • 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