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.