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Foundations of Perturbative QCD by John Collins

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8

Factorization for DIS, mostly in simple field theories

In this chapter, I treat the complications caused by renormalizability of the underlying field theory when one analyzes the asymptotics of processes like DIS. There are four inter-related issues:

•  The leading regions include hard-scattering subgraphs that can be of arbitrarily high order in the coupling.
•  There are logarithmic unsuppressed contributions from momenta that interpolate between the different regions for a graph.
•  The definitions of the parton densities are modified to remove their UV divergences. This we do by renormalization.
•  The parton densities acquire a scale argument μ, the dependence on which is governed by renormalization-group (RG) equations, the famous ...

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