Searches for vectorlike quarks at the LHC have so far focused
exclusively on their decays into Standard Model particles. However,
current experimental data permit the existence of a low-mass
weak-singlet scalar or gauge boson. If such a singlet state coexists
with vectorlike top and bottom partners, it opens up the possibility
that these heavy quarks predominantly decay into the singlet and a
third-generation Standard Model quark. Scenarios like this can
naturally arise in various frameworks, such as composite Higgs models,
warped extra-dimensional models, and others. Despite this theoretical
motivation, such non-standard decay channels of vectorlike quarks
remain largely unexplored in current experimental searches. In this
talk, I shall discuss some interesting and unexplored signatures of
the exotic decay of vectorlike quarks that is dominant in a large
region of the not-so-fine-tuned parameter space.