Factorization and Regularization by Dimensional Reduction

Abstract

Since an old observation by Beenakker et al, the evaluation of QCD processes in dimensional reduction has repeatedly led to terms that seem to violate the QCD factorization theorem. We reconsider the example of the process gg->ttbar and show that the factorization problem can be completely resolved. A natural interpretation of the seemingly non-factorizing terms is found, and they are rewritten in a systematic and factorized form. The key to the solution is that the D- and (4-D)-dimensional parts of the 4-dimensional gluon have to be regarded as independent partons.

16 pages, 2 figures; minor modifications; accepted for publication in Phys.Lett.B

References in corpus (3)

• Multi-Parton Amplitudes in Gauge Theories
• Regularization by Dimensional Reduction: Consistency, Quantum Action Principle, and Supersymmetry
• The difference between n-dimensional regularization and n-dimensional reduction in QCD

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