Integrated dipoles with MadDipole in the MadGraph framework
Rikkert Frederix, Thomas Gehrmann, Nicolas Greiner
TL;DR
The paper presents the integration of integrated dipoles into MadDipole within the MadGraph framework to automate NLO QCD calculations for arbitrary processes. It details the α-phase-space restriction, regularization-scheme handling, and the ε-expansion of integrated dipoles, linking them to virtual and collinear counterterms. The implementation enables full dipole subtraction in an automated workflow, with explicit code structure, user hooks, and validation checks. This work enhances the practicality of producing automated, precise NLO predictions for LHC phenomenology by integrating real-emission and virtual corrections within a unified MadGraph-based toolset.
Abstract
Heading towards a full automation of next-to-leading order (NLO) QCD corrections, one important ingredient is the analytical integration over the one-particle phase space of the unresolved particle that is necessary when adding the subtraction terms to the virtual corrections. We present the implementation of these integrated dipoles in the MadGraph framework. The result is a package that allows an automated calculation for the NLO real emission parts of an arbitrary process.