The interplay between Sudakov resummation, renormalons and higher twist in deep inelastic scattering

Abstract

We claim that factorization implies that the evolution kernel, defined by the logarithmic derivative of the N-th moment of the structure function d ln F_2^N / d ln Q^2, receives logarithmically enhanced contributions (Sudakov logs) from a single source, namely the constrained invariant mass of the jet. Available results from fixed-order calculations facilitate Sudakov resummation up to the next-to-next-to-leading logarithmic accuracy. We use additional all-order information on the physical kernel from the large-beta_0 limit to model the behaviour of further subleading logs and explore the uncertainty in extracting alpha_s and in determining the magnitude of higher-twist contributions from a comparison with data on high moments.

32 pages, 12 post-script figures