Numerical evaluation of six-photon amplitudes

2007/04/30 by Giovanni Ossola, Costas G. Papadopoulos, Costas G Papadopoulos +1
Computer Science · Physics and Astronomy · #Amplitude #Computation #Fermion #Particle physics theoretical and experimental studies #Photon #Quantum Chromodynamics and Particle Interactions #Quantum Information and Cryptography #Scattering #Scattering amplitude #hep-ph

paper · pdf · doi:10.1088/1126-6708/2007/07/085

published as JHEP 0707:085,2007 · 21 pages, 3 figures. Version accepted for publication in JHEP

arxiv created 2007/07/23 · openalex publication_date 2007/07/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We apply the recently proposed amplitude reduction at the integrand level method, to the computation of the scattering process 2 photons -> 4 photons, including the case of a massive fermion loop. We also present several improvements of the method, including a general strategy to reconstruct the rational part of any one-loop amplitude and the treatment of vanishing Gram-determinants.

Citations

• Bootstrapping one-loop QCD amplitudes with general helicities
• The rational parts of one-loop QCD amplitudes I: The general formalism
• Techniques for one-loop tensor integrals in many-particle processes
• Recursive numerical calculus of one-loop tensor integrals
• Reduction formalism for dimensionally regulated one-loop N-point integrals
• Loops in twistor space
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Reducing full one-loop amplitudes to scalar integrals at the integrand level
• A Calculational Formalism for One-Loop Integrals
• Perturbative Gauge Theory As A String Theory In Twistor Space