GLYPH<A1> GLYPH<DI> GLYPH<CV> GLYPH<DI> GLYPH<CV> GLYPH<DI> GLYPH<CV> GLYPH<DI> GLYPH<D8> GLYPH<CX> GLYPH<DI> GLYPH<D8> GLYPH<CX> GLYPH<CV> GLYPH<CV> GLYPH<AV> GLYPH<BC> GLYPH<CX> GLYPH<D8> GLYPH<AM> GLYPH<D8> GLYPH<D8> GLYPH<AM> GLYPH<CQ> GLYPH<AV> GLYPH<A0> GLYPH<CX> GLYPH<A1> GLYPH<CI> GLYPH<BC> GLYPH<CV> GLYPH<D9> GLYPH<AM> GLYPH<D8> GLYPH<D8> GLYPH<D8> FIG. 3: Leading diagram contributing to triple-top production in the focus point region of the MSSM through the decay of two gluinos. There are a total of 8 unique diagrams (not summing over quark flavors or distinguishing between the order of the initial state partons) contributing to gluino pair production. We include all of these in our calculations. FIG. 4: Leading diagram contributing to triple-top production in a leptophobic Z ′ in which the top quark can couple directly to a u -quark. There are a total of 16 unique diagrams (not distinguishing between the order of the initial state partons) involved in this process. We include all of these in our calculations. implemented with the “usermod” format and the cross section for the three-top final state is found directly. For the MSSM we use the standard MadGraph MSSM implementation and the parameter card for SPS 2 from the MadGraph webpage $^{2}$. We calculate the cross section for the on-shell gluino pair and then determine the triple-top cross section using the branching fractions in Table II. The results for three different LHC running energies are given in Table III and the sum of all processes for each model is plotted with the SM results in Figure 5(a). At each energy studied, the new physics models lie approximately an order of magnitude 2 It should be noted that while the current value of the top mass, m t = 171 . 4 GeV, was used for the SM and Z ′ model calculations, the MSSM at SPS 2 uses m t = 175 GeV. 8