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An operator expansion for the elastic limit

R. Akhoury·M. G. Sotiropoulos·G. Sterman
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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.

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R. Akhoury, M. G. Sotiropoulos, G. Sterman. 1998-07-10. An operator expansion for the elastic limit. https://doi.org/10.1103/physrevlett.81.3819

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