Dipole splitting algorithm: A practical algorithm to use the dipole subtraction procedure

2014/03/31 by K. Hasegawa · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Arithmetic #Artificial intelligence #Collider #Computer science #Consistency (knowledge bases) #Dipole #High-Energy Particle Collisions Research #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Process (computing) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Subtraction #hep-ph

paper · pdf · doi:10.1093/ptep/ptv158

published as Prog.Theor.Exp.Phys 113B07 (2015) · 100 pages, 9 figures

openalex publication_date 2015/11/01 · arxiv created 2015/11/27 · arxiv updated 2015/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The Catani--Seymour dipole subtraction is a general and powerful procedure to calculate the QCD next-to-leading order corrections for collider observables. We clearly define a practical algorithm to use the dipole subtraction. The algorithm is called the Dipole splitting algorithm (DSA). The DSA is applied to an arbitrary process by following well defined steps. The subtraction terms created by the DSA can be summarized in a compact form by tables. We present a template for the summary tables. One advantage of the DSA is to allow a straightforward algorithm to prove the consistency relation of all the subtraction terms. The proof algorithm is presented in the subsequent article. We demonstrate the DSA in two collider processes, pp → μ^-μ⁺ and 2 jets. Further as a confirmation of the DSA it is shown that the analytical results obtained by the DSA at the Drell-Yan process exactly agree with the well known results obtained by the traditional method.

Citations

• Next-to-Leading-Order QCD Corrections toWW+JetProduction at Hadron Colliders
• Next-to-Leading-Order QCD Corrections tott¯+jetProduction at Hadron Colliders
• NLO QCD corrections to ZZ+jet production at hadron colliders
• MadDipole: automation of the dipole subtraction method in MadGraph/MadEvent
• A proof algorithm associated with the dipole splitting algorithm
• Vbfnlo: A parton level Monte Carlo for processes with electroweak bosons
• Two cutoff phase space slicing method
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• The anti-ktjet clustering algorithm
• Automating dipole subtraction for QCD NLO calculations
• Electroweak Higgs Boson Plus Three Jet Production at Next-to-Leading-Order QCD
• Structure Functions

Cited by

• A proof algorithm associated with the dipole splitting algorithm