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Theories which provide a dynamical explanation for the large top-quark massoften include TeV-scale vector-like top-quark and bottom-quark partner stateswhich can be potentially discovered at the LHC. These states are currentlyprobed through model-independent searches for pair-production via gluon fusion,as well as through model-dependent complementary electroweak single production.In this paper we study the potential to extend those searches for the partnersof the third-generation Standard Model quarks on the basis of their expectedchromomagnetic interactions. We discuss how current searches for "excited"bottom-quarks produced via $b$-gluon fusion through chromomagnetic interactionsare relevant, and provide significant constraints. We then explore the regionof the parameter space in which the bottom-quark partner is heavier than thetop-quark partner, in which case the top-partner can be primarily produced viathe decay of the bottom-partner. Next, we probe the potential of the productionof a single top-quark partner in association with an ordinary top-quark bygluon-fusion. Kinematically these two new processes are similar, and they yieldthe production of a heavy top partner and a lighter Standard Model state, apattern which allows for the rejection of the associated dominant StandardModel backgrounds. We examine the sensitivity of these modes in the case wherethe top-partner subsequently decays to a Higgs boson and an ordinary top-quark,and we demonstrate that these new channels have the potential of extending andcomplementing the conventional strategies at LHC run III and at thehigh-luminosity phase of the LHC. In this last case, we find that partnermasses that range up to about 3 TeV can be reached. This substantially expandsthe expected mass reach for these new states, including regions of parameterspace that are inaccessible by traditional searches.

Vector-Like top quark production via a chromo-magnetic moment at the LHC