Top Triangle Moose model. In Sec. \[sec:couplings\] we identify the physical top-pion states and summarize their couplings to other particles. Section \[sec:pheno\] contains the bulk of our phenomenological results. After identifying the existing experimental constraints on the top-pions and top-Higgs, we study their decay branching ratios, direct production cross sections in $pp$ collisions, and production in decays of the heavy vector-like top quark partners or the heavy gauge bosons in the model. We identify cases where the LHC has the clear ability to discover the new states and others where good potential for discovery exists and further detailed study is warranted. We summarize our findings and discuss their implications in Sec. \[sec:conclusions\].

The model {#sec:model}
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The Top Triangle Moose model [@Chivukula:2009ck] is shown in moose notation in Fig. \[fig:Triangle\]. The circles represent global SU(2) symmetry groups; the full SU(2) at sites 0 and 1 are gauged with gauge couplings $g$ and $\tilde g$, respectively, while the $\tau^3$ generator of the global SU(2) at site 2 is gauged with U(1) gauge coupling $g^{\prime}$. The lines represent spin-zero link fields which transform as a fundamental (anti-fundamental) representation of the group at the tail (head) of the link. $\Sigma_{01}$ and $\Sigma_{12}$ are 