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We investigate the pair production of a vector-like quark triplet withhypercharge 5/3 decaying into top quark and a complex scalar triplet withhypercharge 1 at the LHC. This novel scenario, featuring particles with exoticcharges - two quarks with charge 8/3 and 5/3 and a scalar with charge 2 -serves as a unique window to models based on the framework of partialcompositeness, where these particles naturally emerge as bound states aroundthe TeV scale. Leveraging on the LHC data we establish exclusion limits on themasses of the vector-like quark and the scalar triplet. Subsequently, we designan analysis strategy aimed at improving sensitivity in the region which isstill allowed. Our analysis focuses on two specific regions in the parameterspace: the first entails a large mass gap between the vector-like quarks andthe scalars, so that the vector-like quarks can decay into the scalars; thesecond involves a small mass gap, such that this decay is forbidden. Tosimplify the parameter space, both vector-like quarks and scalars are assumedto be degenerate or almost degenerate within the triplets, such that chaindecays between fermions and scalars are suppressed. As a result, we found thatfinal states characterized by a same-sign lepton pair, multiple jets, and highnet transverse momentum (i.e. effective mass) will play a pivotal role tounveil this model and, more in general, models characterised by multiplevector-like quarks around the same mass scale during the high luminosity LHCphase.

Heavy vector-like quarks decaying to exotic scalars: a case study with triplets