Resummation of singlet parton evolution at small [formula omitted

Abstract

We propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function χ( M) near M=0 by including in it a sequence of terms derived from the one- and two-loop anomalous dimension γ. The requirement of momentum conservation is always satisfied. The residual ambiguity on the splitting functions is effectively parameterized in terms of the value of λ, which fixes the small x asymptotic behaviour x − λ of the singlet parton distributions. We derive from this improved evolution function an expansion of the splitting function which leads to good apparent convergence, and to a description of scaling violations valid both at large and small x.