Multi-Particle Processes in the Standard Model without Feynman Diagrams

摘要

A method to efficiently compute, in a automatic way, helicity amplitudes forarbitrary scattering processes at leading order in the Standard Model ispresented. The scattering amplitude is evaluated recursively through a set ofDyson-Schwinger equations. The computational cost of this algorithm growsasymptotically as 3^n, where n is the number of particles involved in theprocess, compared to n! in the traditional Feynman graphs approach. Unitarygauge is used and mass effects are available as well. Additionally, the colorand helicity structures are appropriately transformed so the usual summation isreplaced by Monte Carlo techniques. Some results related to the production ofvector bosons and the Higgs boson in association with jets are also presented.