Group constraint relations for five-point amplitudes in gauge theories with \(\mathrm{SO}(N)\) and \(\mathrm{Sp}(2N)\) groups

DOI10.1016/j.nuclphysb.2021.115370zbMath1489.81048arXiv1712.09955OpenAlexW2779422238MaRDI QIDQ2232522

Jia-Hui Huang

Publication date: 6 October 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09955

zbMATH Keywords

divergence at four-loop ordernumber of independent color-ordered amplitudes

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13)

Cites Work

• On general BCJ relation at one-loop level in Yang-Mills theory
• A proof of the explicit minimal-basis expansion of tree amplitudes in gauge field theory
• \(SU(N)\) group-theory constraints on color-ordered five-point amplitudes at all loop orders
• Explicit BCJ numerators from pure spinors
• Relations of loop partial amplitudes in gauge theory by Unitarity cut method
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• Color-factor symmetry and BCJ relations for QCD amplitudes
• Color-kinematics duality for QCD amplitudes
• The string BCJ relations revisited and extended recurrence relations of nonrelativistic string scattering amplitudes
• Symmetric-group decomposition of SU\((N)\) group-theory constraints on four-, five-, and six-point color-ordered amplitudes at all loop orders
• Proof of the fundamental BCJ relations for QCD amplitudes
• Tree amplitudes of noncommutativeU(N) Yang–Mills theory
• Generic multiloop methods and application to {\cal N}=4 super-Yang–Mills

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