The Gluon Distribution Function and Factorization in Feynman Gauge
arXiv:0805.1752 · doi:10.1103/PhysRevD.78.054012
Abstract
A complication in proving factorization theorems in Feynman gauge is that individual graphs give a super-leading power of the hard scale when all the gluons inducing the hard scattering are longitudinally polarized. With the aid of an example in gluon-mediated deep inelastic scattering, we show that, although the super-leading terms cancel after a sum over graphs, there is a residual non-zero leading term from longitudinally polarized gluons. This is due to the non-zero transverse momenta of the gluons in the target. The non-cancellation, due to the non-Abelian property of the gauge group, is necessary to obtain the correct form of the gluon distribution function as a gauge-invariant matrix element.
15 pages, 31 figures
References in corpus (9)
- Leading-twist Single-transverse-spin asymmetries: Drell-Yan and Deep-Inelastic Scattering
- JaxoDraw: A graphical user interface for drawing Feynman diagrams
- Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive Deep Inelastic Scattering
- Fully Unintegrated Parton Correlation Functions and Factorization in Lowest Order Hard Scattering
- The Renormalization of Composite Operators in Yang-Mills Theories Using General Covariant Gauge
- Remarks on the renormalization of gauge invariant operators in Yang-Mills theory
- On the Range of Validity of the Dipole Picture
- Monte-Carlo Event Generators at NLO
- Anomalous dimension of the gluon operator in pure Yang-Mills theory
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