Letting Real-Virtual Cancellations Happen by Themselves in QCD Calculations

Calculations of observables in quantum chromodynamics are typically performed using a method that combines numerical integrations over the momenta of final state particles with analytical integrations over the momenta of virtual particles. I review a method for performing all of the integrations numerically. In this method, the real-virtual cancellations happen inside the integrals -- simply because they are built into the Feynman rules. I indicate promising topics for further research on this subject.