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

We claim that factorization implies that the evolution kernel, defined by the logarithmic derivative of the Nth moment of the structure function dlnF2N/dlnQ2, 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-β0 limit to model the behaviour of further subleading logs and explore the uncertainty in extracting αs and in determining the magnitude of higher-twist contributions from a comparison with data on high moments