A Calculational Formalism for One-Loop Integrals

2004/02/29 by W. T. Giele, W.T Giele, E. W. N. Glover +1 · 5 citations
Physics and Astronomy · #Feynman diagram #Formalism (music) #Hadron #High-Energy Particle Collisions Research #Limiting #Particle Detector Development and Performance #Particle physics theoretical and experimental studies #Quantum chromodynamics #Renormalization #Resummation #hep-ph

paper · pdf · doi:10.1088/1126-6708/2004/04/029

published as JHEP0404:029,2004 · 30 pages, 16 embedded postscript figures, LaTeX, JHEP class, references added, typo in eq 2.27 fixed

openalex publication_date 2004/04/15 · arxiv created 2006/02/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We construct a specific formalism for calculating the one-loop virtual corrections for standard model processes with an arbitrary number of external legs. The procedure explicitly separates the infrared and ultraviolet divergences analytically from the finite one-loop contributions, which can then be evaluated numerically using recursion relations. Using the formalism outlined in this paper, we are in position to construct the next-to-leading order corrections to a variety of multi-leg QCD processes such as multi-jet production and vector-boson(s) plus multi-jet production at hadron colliders. The final limiting factor on the number of particles will be the available computer power.

Citations

• Production of a Higgs Boson Accompanied by Two Jets Via Gluon Fusion
• Algebraic-numerical evaluation of Feynman diagrams: two-loop self-energies
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Connection between Feynman integrals having different values of the space-time dimension
• One-loop tensor integrals in dimensional regularisation
• ALPGEN, a generator for hard multiparton processes in hadronic collisions
• The one-loop QCD corrections for

Cited by

• Recursive numerical calculus of one-loop tensor integrals
• One-Loop Calculations with BlackHat
• Next-to-leading order predictions for WW + jet distributions at the LHC
• The rational parts of one-loop QCD amplitudes I: The general formalism
• Numerical evaluation of six-photon amplitudes