  Color/kinematics duality and the double-copy construction have proved to be
systematic tools for gaining new insight into gravitational theories. Extending
our earlier work, in this paper we introduce new double-copy constructions for
large classes of spontaneously-broken Yang-Mills-Einstein theories with adjoint
Higgs fields. One gauge-theory copy entering the construction is a
spontaneously-broken (super-)Yang-Mills theory, while the other copy is a
bosonic Yang-Mills-scalar theory with trilinear scalar interactions that
display an explicitly-broken global symmetry. We show that the kinematic
numerators of these gauge theories can be made to obey color/kinematics duality
by exhibiting particular additional Lie-algebraic relations. We discuss in
detail explicit examples with N=2 supersymmetry, focusing on
Yang-Mills-Einstein supergravity theories belonging to the generic Jordan
family in four and five dimensions, and identify the map between the
supergravity and double-copy fields and parameters. We also briefly discuss the
application of our results to N=4 supergravity theories. The constructions are
illustrated by explicit examples of tree-level and one-loop scattering
amplitudes.
