Summing threshold logs in a parton shower

Abstract

When parton distributions are falling steeply as the momentum fractions of the partons increases, there are effects that occur at each order in ${\alpha }_s$ that combine to affect hard scattering cross sections and need to be summed. We show how to accomplish this in a leading approximation in the context of a parton shower Monte Carlo event generator.

83 pages, 8 figures

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• Evolution of parton showers and parton distribution functions
• Matching N3LO QCD calculations to parton showers
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• Multivariable evolution in final state parton shower algorithms
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• Factorisation schemes for proton PDFs
• Coloring mixed QCD/QED evolution