  We provide a construction of the moduli spaces of framed Hitchin pairs and
their master spaces. These objects have come to interest as algebraic versions
of solutions of certain coupled vortex equations by work of Lin and Stupariu.
Our method unifies and generalizes constructions of several similar moduli
spaces. Here are some points which are also of interest in other similar
situations: - Our construction does not require the symmetricity condition that
the map ^2G x E -> E be zero, usually appearing in the context of Higgs
bundles. - We carry out a detailed analysis of the polynomial stability
parameter without referring to GIT. This sheds some light on intrinsic
properties of such parameter dependent stability concepts. - The construction
corrects an inaccuracy in our previous construction of the compactification of
the Hitchin space and generalizes it.
