This thesis provides an introduction to the physics of the Standard
Model and beyond, and to the methods used to analyse Large Hadron
Collider (LHC) data. The 'hierarchy problem', astrophysical data
and experiments on neutrinos indicate that new physics can be
expected at the now accessible TeV scale. This work investigates
extensions of the Standard Model with gravitons and gravitinos (in
the context of supergravity). The production of these particles in
association with jets is studied as one of the most promising
avenues for researching new physics at the LHC. Advanced simulation
techniques and tools, such as algorithms allowing the computation
of Feynman graphs and helicity amplitudes are first developed and
then employed.
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