Deep inelastic scattering as x ---> 1 using soft collinear effective theory
By A. Manohar. 2003
191 citations recorded by the source corpus.
Soft-collinear effective theory (SCET) is used to sum Sudakov double logarithms in the $\stackrel{\ensuremath{\rightarrow}}{x}1$ end point 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 $\mathrm{ln}\ensuremath{\mu},$ and the anomalous dimension for the Nth moment of the structure function is linear in $\mathrm{ln}N,$ 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.
Subfields: Geophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/f075d25bf7219324ac97fd1e3b7ca1f75a56eeb6
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In Nuclear and High Energy Physics
Citations in the corpus
- Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, methodology): “It has been used in the past to derive the exact form of the anomalous dimensions of the two-jet operators for quarks and gluons, which were found to be of the form [59–62]”
- Factorization at the LHC: From parton distribution functions to initial state jets (2010, result): “[33, 138], in agreement with the one-loop form factors”
- Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis) (2009, result): “[33, 138], in agreement with the one-loop form factors”