  The search for Top and Bottom Partners is a major focus of analyses at both
the ATLAS and CMS experiments. When singly produced, these vector-like partners
of the Standard Model third generation quarks retain a sizeable cross-section
that makes them attractive search candidates in their respective topologies.
While most efforts have concentrated on the resonant mode for single production
of these hypothetical particles, the most dominant mode at narrow widths,
recent studies have revealed a wide and rich phenomenology involving the
non-resonant diagrams. In this letter we categorically investigate the impact
of the non-resonant diagrams on different Top and Bottom partner single
production topologies and their impact on the inclusive cross-section
estimation. We also propose a parameterization for calculating the the
correction factor to the single vector-like quark production cross-section when
such diagrams are included.
