This article investigates the asymptotics of $\rm{G}_2$-monopoles. First, we
prove that when the underlying $\rm{G}_2$-manifold is nonparabolic (i.e. admits
a positive Green’s function), finite intermediate energy monopoles with bounded
curvature have finite mass. The second main result restricts to the case when
the underlying $\rm{G}_2$-manifold is asymptotically conical. In this
situation, we deduce sharp decay estimates and that the connection converges,
along the end, to a pseudo-Hermitian–Yang–Mills connection over the
asymptotic cone. Finally, our last result exhibits a Fredholm setup describing
the moduli space of finite intermediate energy monopoles on an asymptotically
conical $\rm{G}_2$-manifold.
