Urgent problems at small x

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Abstract

Regge theory provides an excellent fit to small-x structure-function data from Q^2=0 right up to the highest available values, but it also teaches us that conventional approaches to perturbative evolution are incorrect.

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Total cross sections

P. V. Landshoff, A. Donnachie (1992)

Regge theory provides a very simple and economical description of all total cross sections

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Small x: Two Pomerons!

P. V. Landshoff, A. Donnachie (1998)

Regge theory provides a very simple and economical description of data for (i) the proton structure function with x J/psi p. The data are all in agreement with the assumption that there is a second pomeron, with intercept about 1.4 . They suggest also that the contribution from the soft pomeron is higher twist. This means that there is an urgent need to make perturbative evolution compatible with Regge theory at small and not-so-small x, and to reassess the magnitude of higher-twist contributions at quite small x.