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Phys. Rev. Lett. 81, 3819–3822 (1998)

Operator Expansion for the Elastic Limit

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Ratindranath Akhoury and Michael G. Sotiropoulos
Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48109

George Sterman
Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794

Received 13 July 1998; published in the issue dated 2 November 1998

A leading twist expansion in terms of bilocal operators is proposed for the structure functions of deeply inelastic scattering near the elastic limit x→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 (N) space, all the logarithmic contributions of order lnkN/N are shown to be resummable in terms of the anomalous dimension of the leading operator in the expansion.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.81.3819
DOI:
10.1103/PhysRevLett.81.3819
PACS:
12.38.Cy, 11.10.Jj, 13.60.Hb