CHY representations for gauge theory and gravity amplitudes with up to three massive particles

Abstract

We show that a wide class of tree-level scattering amplitudes involving scalars, gauge bosons, and gravitons, up to three of which may be massive, can be expressed in terms of a Cachazo-He-Yuan representation as a sum over solutions of the scattering equations. These amplitudes, when expressed in terms of the appropriate kinematic invariants, are independent of the masses and therefore identical to the corresponding massless amplitudes.

arXiv comment20 pages, 1 figure; v2: minor typos corrected, published version

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Cited by in corpus (41)

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• Aspects of Scattering Amplitudes and Moduli Space Localization
• Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
• One-loop Scattering Equations and Amplitudes from Forward Limit
• Double Copy from Homotopy Algebras
• Twin Supergravities from Yang-Mills Squared
• Integration Rules for Scattering Equations
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• On the Double Copy for Spinning Matter
• Elimination and recursions in the scattering equations
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• Cosmological Scattering Equations at Tree-level and One-loop
• Connected formulas for amplitudes in standard model
• Smoothly Splitting Amplitudes and Semi-Locality
• Gauge $\times$ Gauge on Spheres
• The Polynomial Form of the Scattering Equations is an H-Basis
• Scalar-Graviton Amplitudes
• Polynomial reduction and evaluation of tree- and loop-level CHY amplitudes
• Scattering of Gravitons and Spinning Massive States from Compact Numerators
• Amplitudes for massive vector and scalar bosons in spontaneously-broken gauge theory from the CHY representation
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• The Role of Möbius Constants and Scattering Functions in CHY Scalar Amplitudes
• Explicit BCJ numerators of nonlinear sigma model
• BCJ relations from a new symmetry of gauge-theory amplitudes
• Direct Evaluation of $n$-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY Formalism
• The CHY representation of tree-level primitive QCD amplitudes
• All-multiplicity amplitudes with four massive quarks and identical-helicity gluons
• CHY formula and MHV amplitudes
• A String Deformation of the Parke-Taylor Factor
• New Ambitwistor String Theories
• One-loop integrand from generalised scattering equations
• Spontaneously Broken Yang-Mills-Einstein Supergravities as Double Copies
• Massive Color-Kinematics Duality and Double-Copy for Kaluza-Klein Scattering Amplitudes
• Transmuting off-shell CHY integrals in the double-cover framework
• Note on scalar-graviton and scalar-photon-graviton amplitudes
• Factorizations for tree amplitudes in the double-cover framework: from gravity to other theories
• CHY-construction of Planar Loop Integrands of Cubic Scalar Theory
• CHY Theory for Several Fields
• On-shell representation and further instances of the 2-split behavior of amplitudes
• Color-factor symmetry and BCJ relations for QCD amplitudes
• A Novel On-Shell Recursive Relation