Loop-Level Double-Copy for Massive Quantum Particles

TL;DR

This paper demonstrates that the duality between color and kinematics extends to loop-level in massive scalar QCD, enabling the construction of scattering amplitudes and their double-copy to supergravity predictions using bootstrap methods.

Contribution

It introduces a method to construct loop-level scattering amplitudes in massive scalar QCD using color-kinematics duality and bootstrap techniques, extending the duality's applicability.

Findings

Constructed one-loop four-point integrands for massive scalars.

Derived five-point amplitudes with gluonic radiation.

Predicted massive scalar scattering in supergravity via double-copy.

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.