Scattering amplitudes have their origin in quantum field theory, but have wide-ranging
applications extending to classical physics. We review a formalism to connect certain …

The double copy is, in essence, a map between scattering amplitudes in a broad variety of
familiar field and string theories. In addition to the mathematically rich intrinsic structure, it …

A bstract The three-point amplitude is the key building block in the on-shell approach to
scattering amplitudes. We show that the classical objects computed by massive three-point …

A bstract We introduce a novel bootstrap method for heavy-mass effective field theory
classical Compton scattering amplitudes involving two massless particles and two arbitrary …

We show that the BRST Lagrangian double copy construction of supergravity as the
'square'of Yang–Mills theory finds a natural interpretation in terms of homotopy algebras. We …

A bstract The Weyl double copy is a procedure for relating exact solutions in biadjoint scalar,
gauge and gravity theories, and relates fields in spacetime directly. Where this procedure …

A bstract Many gauge theories possess a hidden duality between color and kinematics in
their on-shell scattering amplitudes. An open problem is to formulate an off-shell realization …

We analyze theories with color-kinematics duality from an algebraic perspective and find
that any such theory has an underlying BV▪-algebra, extending the ideas of Reiterer [A …

A bstract It was recently proposed that the kinematic algebra featuring in the colour-
kinematics duality for scattering amplitudes in heavy-mass effective field theory (HEFT) and …

A bstract We give a double copy construction for the symmetries of the self-dual sectors of
Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double …