Running Coupling BFKL Equation and Deep Inelastic Scattering

Abstract

I examine the form of the solution of the BFKL equation with running coupling relevant for deep inelastic scattering. The evolution of structure functions is precisely determined and well described by an effective coupling of the form 1/(beta_0(ln(Q^2/Lambda^2)+3.6(alpha_s(Q^2)ln(1/x))^1/2)) (until very small x). Corrections to the LO equation are relatively small, and the perturbative expansion is stable. Comparison to data via a global fit is very successful.

Comments: Latex file uses epsfig.sty and npb.sty, 4 pages including 1 embedded figure. Contribution to the proceedings of the International Workshop on Deep Inelastic Scattering and QCD (DIS99), Zeuthen, April 1999