Multi-gluon collinear limits from MHV diagrams

2005/03/07 by T. G. Birthwright, E. W. N. Glover, Valentin V. Khoze +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/05/013

published as JHEP0505:013,2005 · 28 pages, six figures, JHEP3 class

arxiv created 2005/03/07 · openalex publication_date 2005/05/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the multi-collinear limit of multi-gluon QCD amplitudes at tree level. We use the MHV rules for constructing colour ordered tree amplitudes and the general collinear factorization formula to derive timelike splitting functions that are valid for specific numbers of negative helicity gluons and an arbitrary number of positive helicity gluons (or vice versa). As an example we present new results describing the collinear limits of up to six gluons.

Citations

• A complete (ααs)calculation of the photon + 1 jet rate in e+ e− annihilation
• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
• Asymptotic freedom in parton language
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Recursion Relations for Tree Amplitudes in Super Gauge Theories
• Next-to-maximal helicity violating amplitudes in gauge theory
• Calculating Scattering Amplitudes Efficiently
• Collinear factorization and splitting functions for next-to-next-to-leading order QCD calculations
• Tree Level Recursion Relations In General Relativity
• Perturbative Gauge Theory As A String Theory In Twistor Space

Cited by

• Twistor-inspired construction of massive quark amplitudes
• Collinear limits in QCD from MHV rules