New Relations for Einstein-Yang-Mills Amplitudes

Abstract

We obtain new relations between Einstein-Yang-Mills (EYM) amplitudes involving N gauge bosons plus a single graviton and pure Yang-Mills amplitudes involving N gauge bosons plus one additional vector boson inserted in a way typical for a gauge boson of a "spectator" group commuting with the group associated to original N gauge bosons. We show that such EYM amplitudes satisfy U(1) decoupling relations similar to Kleiss-Kuijf relations for Yang-Mills amplitudes. We consider a D-brane embedding of EYM amplitudes in the framework of disk amplitudes involving open and closed strings. A new set of monodromy relations is derived for mixed open-closed amplitudes with one closed string inserted on the disk world-sheet and a number of open strings at the boundary. These relations allow expressing the latter in terms of pure open string amplitudes and, in the field-theory limit, they yield the U(1) decoupling relations for EYM amplitudes.

15 pages, harvmac, 3 figures

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Cited by in corpus (64)

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• Explicit Formulae for Yang-Mills-Einstein Amplitudes from the Double Copy
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• Heterotic and bosonic string amplitudes via field theory
• Expansion of Einstein-Yang-Mills Amplitude
• New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level
• Einstein-Yang-Mills from pure Yang-Mills amplitudes
• Monodromy Relations in Higher-Loop String Amplitudes
• Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame
• Amplitude relations in heterotic string theory and Einstein-Yang-Mills
• On the kinematic algebra for BCJ numerators beyond the MHV sector
• Expansion of All Multitrace Tree Level EYM Amplitudes
• The double copy for heavy particles
• Primary Fields in Celestial CFT
• Celestial operator products from the worldsheet
• Elements of Celestial Conformal Field Theory
• Tree-level amplitudes from the pure spinor superstring
• The Radiative Double Copy for Einstein-Yang-Mills Theory
• String amplitudes from field-theory amplitudes and vice versa
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
• Amplitudes, Hopf algebras and the colour-kinematics duality
• Collinear limits beyond the leading order from the scattering equations
• String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
• Note on differential operators, CHY integrands, and unifying relations for amplitudes
• Quadratic Feynman Loop Integrands From Massless Scattering Equations
• Properties of scattering forms and their relation to associahedra
• Positive helicity Einstein-Yang-Mills amplitudes from the Double Copy
• One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations
• Extracting Bigravity from String Theory
• Expansion of Einstein-Yang-Mills theory by Differential Operators
• One-loop Amplitudes for N=2 Homogeneous Supergravities
• A minimal approach to the scattering of physical massless bosons
• Spin-four N=7 W-Supergravity: S-fold and Double Copy Construction
• Unified web for expansions of amplitudes
• Off-shell extended graphic rule and the expansion of Berends-Giele currents in Yang-Mills theory
• One-loop amplitudes in Einstein-Yang-Mills from forward limits
• All rational one-loop Einstein-Yang-Mills amplitudes at four points
• Universal expansions of scattering amplitudes for gravitons, gluons and Goldstone particles
• Direct Evaluation of $n$-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY Formalism
• New relations for graviton-matter amplitudes
• A graphic approach to gauge invariance induced identity
• Chiral Splitting and $\mathcal{N}=4$ Einstein--Yang--Mills Tree Amplitudes in 4d
• Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes
• A graphic approach to identities induced from multi-trace Einstein-Yang-Mills amplitudes
• Expansion of tree amplitudes for EM and other theories
• Evaluating EYM amplitudes in four dimensions by refined graphic expansion
• Constructing EYM amplitudes by inverse soft limit
• Transmutation operators and expansions for $1$-loop Feynman integrands
• Expansion of EYM Amplitudes in Gauge Invariant Vector Space
• Einstein Yang-Mills Amplitudes from Intersections of Twisted Forms
• Non-Abelian gauged supergravities as double copies
• Next-to-MHV Yang-Mills kinematic algebra
• Note on graph-based BCJ relation for Berends-Giele currents
• Transmuting off-shell CHY integrals in the double-cover framework
• Permutation in the CHY-Formulation
• New relations for tree-level form factors and scattering amplitudes
• New framework for classical double copies
• Note on scalar-graviton and scalar-photon-graviton amplitudes
• A note on multi-trace EYM amplitudes in four dimensions
• Open & Closed vs. Pure Open String One-Loop Amplitudes
• Steps Towards Generalization of Tensionless String Theory with Contact Interactions as Wilson loop of Non-Abelian Yang-Mills Theory
• The off-shell expansion relation of the Yang-Mills scalar theory