An operator expansion for the elastic limit

Abstract

A leading twist expansion in terms of bi-local operators is proposed for the structure functions of deeply inelastic scattering near the elastic limit $x\to 1$, which is also applicable to a range of other processes. Operators of increasing dimensions contribute to logarithmically enhanced terms which are supressed by corresponding powers of $1-x$. For the longitudinal structure function, in moment ($N$) space, all the logarithmic contributions of order ${\ln }^{k}N/N$ are shown to be resummable in terms of the anomalous dimension of the leading operator in the expansion.

9 pages, 1 figure, uses REVTEX 3.1 and axodraw

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