7 10 14 E$_{cm}$ (TeV) 10 -2 10 -1 10 0 10 1 10 2  (fb) SM MSSM (FP) Z´ 7 10 14 E$_{cm}$ (TeV) 10 -2 10 -1 10 0 10 1 10 2 (fb) Z´ 3 tops 4 tops MSSM (FP) SM (a) (b) FIG. 5: (a) Inclusive LO cross sections for triple-top production at three LHC center-of-mass energies in the Standard Model, the Z ′ model, and the focus point region of the MSSM through the decay of two gluinos. Each curve represents the sum over all contributing final states, which are given in Tables I and III. In (b), these same curves are plotted (solid lines) along with the corresponding four-top cross sections of each model (dotted lines), which are similarly summed over all contributing final states. at 14 TeV. Indeed, the branching fractions of light gluinos to multi-top final states can be made much larger than those presented here if the 1st and 2nd generation squarks are much more massive than those of the 3rd, providing a significant boost to the triple-top cross section. The discovery potential of the MSSM using multi-top signals in such a scenario is discussed in detail in [14]. In addition to providing evidence for physics beyond the SM, knowledge of the triple- top cross sections can also aid in the understanding of the underlying models. In the Z ′ model, while the two- and four-top production cross sections are essentially independent of the parameter ϵ$_{U}$ , every diagram contributing to the production of three tops has a linear dependence on this parameter and therefore the total cross section goes as ϵ 2 $_{U}$. Knowledge of the triple-top signal in addition to the two- and four-top signals could therefore allow ϵ$_{U}$ to be determined. In the focus-point region of the MSSM, the relative sizes of the various multi-top signals are determined by the relative branching fractions of the gluinos to one- and two-top final states. In certain scenarios, the ratios of these branching fractions can provide insight into the 3rd generation squark mass parameters and the composition of the lightest neutralino, while the overall rates and total effective mass distributions can constrain 10