Berends-Giele recursion for double-color-ordered amplitudes
From MaRDI portal
Publication:1638926
DOI10.1007/JHEP07(2016)080zbMath1390.81336arXiv1603.09731OpenAlexW2334651527MaRDI QIDQ1638926
Publication date: 12 June 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.09731
Related Items (52)
Homotopy double copy and the Kawai–Lewellen–Tye relations for the non-abelian and tensor Navier–Stokes equations ⋮ Perturbiner methods for effective field theories and the double copy ⋮ New BCJ representations for one-loop amplitudes in gauge theories and gravity ⋮ Cross-ratio identities and higher-order poles of CHY-integrand ⋮ Explicit BCJ numerators of nonlinear simga model ⋮ Einstein-Yang-Mills from pure Yang-Mills amplitudes ⋮ CHY-graphs on a torus ⋮ Elliptic scattering equations ⋮ \(\Lambda\) scattering equations ⋮ Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators ⋮ Scattering equations in AdS: scalar correlators in arbitrary dimensions ⋮ Exact solutions for the biadjoint scalar field ⋮ Two dialects for KZB equations: generating one-loop open-string integrals ⋮ Efficient calculation of crossing symmetric BCJ tree numerators ⋮ A differential operator for integrating one-loop scattering equations ⋮ Non-abelian \(Z\)-theory: Berends-Giele recursion for the \(\alpha^{'}\)-expansion of disk integrals ⋮ A type of unifying relation in (A)dS spacetime ⋮ One-loop amplitudes in Einstein-Yang-Mills from forward limits ⋮ Differential operators and unifying relations for 1-loop Feynman integrands from Berends-Giele currents ⋮ Celestial Berends-Giele current ⋮ Holonomic representation of biadjoint scalar amplitudes ⋮ One-loop diagrams with quadratic propagators from the worldsheet ⋮ Smoothly splitting amplitudes and semi-locality ⋮ A Lie bracket for the momentum kernel ⋮ Tree-level amplitudes from the pure spinor superstring ⋮ Perturbations of general relativity to all orders and the general \(n^{\mathrm{th}}\) order terms ⋮ Color-factor symmetry of the amplitudes of Yang-Mills and biadjoint scalar theory using perturbiner methods ⋮ Extended solutions for the biadjoint scalar field ⋮ Color-dressed generalized biadjoint scalar amplitudes: local planarity ⋮ Semi-abelian Z-theory: NLSM + \({\Phi}^3\) from the open string ⋮ Note on graph-based BCJ relation for Berends-Giele currents ⋮ Labelled tree graphs, Feynman diagrams and disk integrals ⋮ One-loop monodromy relations on single cuts ⋮ One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations ⋮ Kinematic numerators from the worldsheet: cubic trees from labelled trees ⋮ Local BCJ numerators for ten-dimensional SYM at one loop ⋮ A combinatoric shortcut to evaluate CHY-forms ⋮ Inverse of the string theory KLT kernel ⋮ Abelian \(Z\)-theory: NLSM amplitudes and \(\alpha\)'-corrections from the open string ⋮ Understanding the cancelation of double poles in the Pfaffian of CHY-formulism ⋮ Towards the n-point one-loop superstring amplitude. I: Pure spinors and superfield kinematics ⋮ A vertex operator algebra construction of the colour-kinematics dual numerator ⋮ \(L_\infty \)-algebras and the perturbiner expansion ⋮ An etude on recursion relations and triangulations ⋮ Scattering equations and a new factorization for amplitudes. I: Gauge theories ⋮ Manifest colour-kinematics duality and double-copy in the string-based formalism ⋮ Planar binary trees in scattering amplitudes ⋮ One-loop matrix elements of effective superstring interactions: \(\alpha^\prime\)-expanding loop integrands ⋮ Double copy for massive quantum particles with spin ⋮ Off-shell extended graphic rule and the expansion of Berends-Giele currents in Yang-Mills theory ⋮ The off-shell recursion for gravity and the classical double copy for currents ⋮ Quantum off-shell recursion relation
Uses Software
Cites Work
- Unnamed Item
- Proof of the formula of Cachazo, He and Yuan for Yang-Mills tree amplitudes in arbitrary dimension
- Scattering of massless particles: scalars, gluons and gravitons
- An algebraic approach to BCJ numerators
- Explicit BCJ numerators from pure spinors
- FORM version 4.0
- The momentum kernel of gauge and gravity theories
- Lie elements and an algebra associated with shuffles
- Multi-leg one-loop gravity amplitudes from gauge theory
- Non-linear gauge transformations in \(D=1\) 0 SYM theory and the BCJ duality
- Berends-Giele recursions and the BCJ duality in superspace and components
- Complete \(N\)-point superstring disk amplitude I. Pure spinor computation
- Complete \(N\)-point superstring disk amplitude II. Amplitude and hypergeometric function structure
- Scattering equations and Feynman diagrams
- Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace
- Polylogarithms, multiple zeta values and superstring amplitudes
- Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
- On the Garsia Lie Idempotent
- Lie Elements and Knuth Relations
- Super-Poincaré covariant quantization of the superstring
This page was built for publication: Berends-Giele recursion for double-color-ordered amplitudes
