Loop-Level Double-Copy for Massive Quantum Particles
arXiv:2010.13435 · doi:10.1103/PhysRevD.103.045002
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.
18 pages, 13 figures, machine readable amplitudes in ancillary files
References in corpus (16)
- New Relations for Gauge-Theory Amplitudes
- Reducing full one-loop amplitudes to scalar integrals at the integrand level
- Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
- Black holes and the double copy
- Direct extraction of one-loop integral coefficients
- Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
- Energetics of two-body Hamiltonians in post-Minkowskian gravity
- Gravitational spin Hamiltonians from the S matrix
- The Kerr-Schild double copy in curved spacetime
- Scattering on plane waves and the double copy
- The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
- Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
- Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory
- Extended solutions for the biadjoint scalar field
- Spin Effects in Long Range Gravitational Scattering
- The Ultraviolet Critical Dimension of Half-Maximal Supergravity at Three Loops