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A non-local OPE for hard QCD processes near the elastic limit

1999/03/23 by Ratindranath Akhoury, Akhoury, Ratindranath, Michael G. Sotiropoulos +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Numerical methods in inverse problems #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9903442

Talk presented at DPF99, UCLA, 7 pages, 3 figures

arxiv created 1999/03/23 · openalex publication_date 1999/03/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 hard quasi-elastic 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 lnk N/N are shown to be resummable in terms of the anomalous dimension of the leading operator in the expansion.

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