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Deep inelastic scattering as x -> 1 using soft-collinear effective theory

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arxiv hep-ph/0309176 v2 pith:HMQGYZS6 submitted 2003-09-16 hep-ph

classification hep-ph
keywords functiontheorydeepeffectiveinelasticscetstructureanomalous
verification ladder T0 review T1 audit T2 compute T3 formal
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Soft-collinear effective theory (SCET) is used to sum Sudakov double-logarithms in the x ->1 endpoint region for the deep inelastic scattering structure function. The calculations are done in both the target rest frame and the Breit frame. The separation of scales in the effective theory implies that the anomalous dimension of the SCET current is linear in ln mu, and the anomalous dimension for the Nth moment of the structure function is linear in ln N, to all orders in perturbation theory. The SCET formulation is shown to be free of Landau pole singularities. Some important differences between the deep inelastic structure function and the shape function in B decay are discussed.

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Cited by 5 Pith papers

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