All-loop group-theory constraints for four-point amplitudes of \(\mathrm{SU}(N)\), \(\mathrm{SO}(N)\), and \(\mathrm{SP}(N)\) gauge theories

Quantum field theory; related classical field theories (81Txx) Quantum scattering theory (81Uxx) Unified, higher-dimensional and super field theories (83Exx)

Cites Work

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
Two-loop scattering amplitudes from ambitwistor strings: from genus two to the nodal Riemann sphere
Symmetric-group decomposition of SU\((N)\) group-theory constraints on four-, five-, and six-point color-ordered amplitudes at all loop orders
One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits.
Two-loop superstring five-point amplitudes. I: Construction via chiral splitting and pure spinors
Group constraint relations for five-point amplitudes in gauge theories with \(\mathrm{SO}(N)\) and \(\mathrm{Sp}(2N)\) groups
Identities amongst the two loop partial amplitudes of Yang-Mills theory
The duality between color and kinematics and its applications

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