Three-loop leading singularities and Bern-Dixon-Smirnov ansatz for five particles

2008/08/31 by Marcus Spradlin, Anastasia Volovich, Congkao Wen · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.78.085025

published as Phys.Rev.D78:085025,2008 · 20 pages, 2 figures, v2: very minor changes

arxiv created 2008/10/15 · openalex publication_date 2008/10/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We use the leading singularity technique to determine the planar three-loop five-particle amplitude in N=4 super Yang-Mills in terms of a simple basis of integrals. We analytically compute the integral coefficients for both the parity-even and the parity-odd parts of the amplitude. The parity-even part involves only dual conformally invariant integrals. Using the method of obstructions we numerically evaluate two previously unfixed coefficients that appear in the three-loop Bern Dixon Smirnov ansatz.

Citations

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits

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