  Vector-like Quarks (VLQs) are potential signatures of physics beyond the
Standard Model at the TeV energy scale and major efforts have been put forward
at both ATLAS and CMS experiments in search of these particles. In order to
make these search results more relatable in the context of most plausible
theories of VLQs, it is deemed important to present the analysis results in a
general fashion. We investigate the challenges associated with such
interpretations of singly produced VLQ searches and propose a generalized,
semi-analytical framework that allows a model-independent casting of the
results in terms of unconstrained, free parameters of the VLQ Lagrangian. We
also propose a simple parameterization of the correction factor to the single
VLQ production cross-section at large decay widths. We illustrate how the
proposed framework can be used to conveniently represent statistical limits by
numerically reinterpreting results from benchmark ATLAS and CMS analyses.
