loop, or indirectly, via decays of the heavy $T$ quarks.

![\[fig:feynman1\] Feynman diagrams for the single production of the top-Higgs or top pion. Direct production proceeds via a top loop (left). Indirect production occurs as a decay product of heavy T quarks (right), where the pair production of the T quarks proceeds via gluon fusion and quark annihilation.[]{data-label="fig:higgs_prod"}](higgs-prod.pdf)

The multiple production modes will make it possible to confirm that the scalar one has discovered is, in fact, the $H_t$ of this model, rather than some other scalar state. We examine the branching ratios of the $H_t, \Pi_t$, and $T$, in order to identify production channels at LHC that are likely to lead to discovery of these new particles. Then, we discuss how already-planned searches at LHC can be repurposed or extended to yield information about the individual states and the relationships between them.

Current constraints on parameter values
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Before starting our phenomenological analysis, let us briefly recall some of the limits on the different parameters of our model. First, within the gauge sector there is the mass of the $W'$ boson, $M_{W'}$, and the ratio of gauge couplings $x$. Second, there are parameters related to fermion masses: the quantities 