String amplitudes from field-theory amplitudes and vice versa

Abstract

We present an integration-by-parts reduction of any massless tree-level string correlator to an equivalence class of logarithmic functions, which can be used to define a field-theory amplitude via a Cachazo-He-Yuan (CHY) formula. The string amplitude is then shown to be the double copy of the field-theory one and a special disk/sphere integral. The construction is generic as it applies to any correlator that is a rational function of correct SL(2) weight. By applying the reduction to open bosonic/heterotic strings, we get a closed-form CHY integrand for the $(DF{)}^2+\text{YM}+{\varphi }^3$ theory.

11 pages, 2 figures; v2: more references added and several typos corrected; v3: matching the journal version

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Cited by in corpus (27)

• On the kinematic algebra for BCJ numerators beyond the MHV sector
• Kinematic Jacobi Identity is a Residue Theorem: Geometry of Color-Kinematics Duality for Gauge and Gravity Amplitudes
• Tree-level amplitudes from the pure spinor superstring
• All-order differential equations for one-loop closed-string integrals and modular graph forms
• One-loop Correlators and BCJ Numerators from Forward Limits
• Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
• Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality
• Superstring loop amplitudes from the field theory limit
• String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
• Scattering Massive String Resonances through Field-Theory Methods
• Scalar-Scaffolded Gluons and the Combinatorial Origins of Yang-Mills Theory
• Coaction and double-copy properties of configuration-space integrals at genus zero
• Kinematic numerators from the worldsheet: cubic trees from labelled trees
• On the New Factorizations of Yang-Mills Amplitudes
• Bosonic sectorized strings and the $(DF{)}^2$ theory
• Notes on polytopes, amplitudes and boundary configurations for Grassmannian string integrals
• One-loop diagrams with quadratic propagators from the worldsheet
• One-loop Bern-Carrasco-Johansson Numerators on Quadratic Propagators from the Worldsheet
• A graphic approach to identities induced from multi-trace Einstein-Yang-Mills amplitudes
• Basis decompositions of genus-one string integrals
• Advanced tools for basis decompositions of genus-one string integrals
• Open-string integrals with multiple unintegrated punctures at genus one
• UV consistency conditions for CHY integrands
• Form factors from string amplitudes
• Massive strings from a haunted field theory
• CHY Theory for Several Fields
• Superstring amplitudes meet surfaceology