Operator Expansion for the Elastic Limit

A leading twist expansion in terms of bilocal 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 suppressed by corresponding powers of $1-x$. For the longitudinal structure function, in moment $\left(N\right)$ 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.