Production of supersymmetric particles and their subsequent decay chains could occur in different ways depending on the theoretical scenario considered.

In the researches for supersymmetric particles, the most frequent choice is to limit the quest to a specific model in which the particles have well-defined decay modes. One of the most promising models to take into account is the mSUGRA. In the hypothesis of the R-parity conservation, supersymmetric particles are produced in pairs and each one decays to generate another supersymmetric particle, up to the LSP.

Therefore, a p-p collision can give rise to production of gluinos, neutralinos, charginos, sleptons and s-quarks, if they are cinematically allowed. In particular, gluinos and s-quarks are generated by strong interaction processes, for which their production is favored with respect to that of neutralinos, charginos and s-leptons, that instead are originated by weak interactions.

As it can be seen in the figure,

Cross section for supersymmetric particle production as a function of the gluino mass.

in fact, cross sections for squark-squark, squark-gluino and gluino-gluino production processes (\tilde{g}\tilde{g}+\tilde{g}\tilde{q}+\tilde{q}\tilde{q}) are dominant with respect to those for the production of charginos, neutralinos and s-leptons,
up to m_{\tilde{g}} \approx1.7\ TeV in the m_q=m_g hypothesis and up to m_{\tilde{g}} \approx0.8\ TeV if m_q=2m_g.
For higher energies strong production mechanisms result suppressed.


References and further readings:
S. Baer and X. Tata, Weak Scale Supersymmetry, (Cambridge University Press), 2006
R.H. Mohapatra, Unification and Supersymmetry: the Frontiers of Quark-Lepton Physics – Third Edition, (Springer-Verlag), 2002.
Aitchison I.J.R., Supersymmetry in Particle Physics, (Cambridge University Press).

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