Loop-Level Double-Copy for Massive Quantum Particles

Abstract

We find that scattering amplitudes in massive scalar QCD can manifest the duality between color and kinematics at loop-level. Specifically we construct the one-loop integrands for four-point scattering between two distinct massive scalars, and the five-point process encoding the first correction to massive scalar scattering with gluonic radiation. We find that factorization and the color-kinematics duality are sufficient principles to entirely bootstrap these calculations, allowing us to construct all contributions ultimately from the three-point tree-level amplitudes which are themselves entirely constrained by symmetry. Double-copy construction immediately provides the associated predictions for massive scalars scattering in the so called N=0 supergravity theory.

arXiv comment18 pages, 13 figures, machine readable amplitudes in ancillary files

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• Gravitational Radiation from Color-Kinematics Duality
• Absence of Three-Loop Four-Point Divergences in N=4 Supergravity
• The Duality Between Color and Kinematics and its Applications
• Type D Spacetimes and the Weyl Double Copy
• Spinning particles, axion radiation, and the classical double copy
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• Unexpected Cancellations in Gravity Theories
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops
• Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
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• Double copy structure of CFT correlators
• The Double Copy of Electric-Magnetic Duality
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• Classical potential for general spinning bodies
• Effective action of dilaton gravity as the classical double copy of Yang-Mills theory
• Static Spherically Symmetric Kerr-Schild Metrics and Implications for the Classical Double Copy
• Exact solutions for the biadjoint scalar field
• Kerr-Schild Double Field Theory and Classical Double Copy
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• Spin Effects in Long Range Gravitational Scattering
• Classical Double Copy: Kerr-Schild-Kundt metrics from Yang-Mills Theory
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Cited by in corpus (21)

• Classical Solutions and their Double Copy in Split Signature
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Generalizations of the Double-Copy: the KLT Bootstrap
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• Geodesics From Classical Double Copy
• Higher-derivative Heterotic Double Field Theory and Classical Double Copy
• Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
• Scattering of Gravitons and Spinning Massive States from Compact Numerators
• The Classical Double Copy for Half-Maximal Supergravities and T-duality
• Extracting Einstein from the Loop-Level Double-Copy
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• Double-copy towards supergravity inflation with $\alpha$-attractor models
• Effective observables for electromagnetic duality from novel amplitude decomposition
• Flavour-kinematics duality for Goldstone modes
• Loop-level double-copy for massive fermions in the fundamental
• Waveforms from Amplitudes
• On-shell Supersymmetry and higher-spin amplitudes
• Next-to-MHV Yang-Mills kinematic algebra
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• Massive Covariant Colour-Kinematics in 3D
• Leading singularities in higher-derivative Yang-Mills theory and quadratic gravity