  We consider the interaction between a charged scalar boson and the
Bopp-Podolsky gauge fields. The Bopp-Podolsky (BP) electrodynamics possesses
both massive and massless propagation modes for the photon, while preserving
gauge invariance. We obtain the propagator of all fields present in the model
for the higher-order generalizations of the linear covariant, light-front and
doubly transverse light-front gauges. Although BP's original model is described
by a higher-order derivatives Lagrangian, it is possible to work with an
equivalent reduced-order version by means of the introduction of an auxiliary
vector field. We compute the gauge-invariant improved energy-momentum tensor
for the full reduced-order interacting BP model. Besides the more traditional
front-form view, we also discuss the light-front perspective in both versions
of the model. Within a Lagrangian framework approach we maintain explicit
covariance at all steps and show that the field propagators, as well as the
energy-momentum tensor, can be cast into a light-front closed form using
specific properties of general coordinate transformations.
