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

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

2003-09-16

arxiv.org/abs/hep-ph/0309176v2

Phys.Rev. D68 (2003) 114019

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, minor typos fixed, and a comment added on the longitudinal structure function

Scientific paper

10.1103/PhysRevD.68.114019

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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