| This dissertation contains three parts, each with a distinct topic. The three topics are (1) Higgs-boson decays at the superconducting super collider, (2) radiative corrections to the decay (pi)('o) (--->) (gamma)e('+)e('-) and (3) generalised random paths in three and four dimensions.; In Part I, distributions in cos(theta)(,lab), rapidity, energy, and p(,T) for the intermediate vector bosons resulting from p + p (--->) (H('o) (--->) W('+)W('-), Z('o)Z('o)) + X and p + p (--->) (W('+)W('-),W('+)Z('o) + W('-)Z('o),Z('o)Z('o)) + X at SQRT.(s) = 40 TeV are compared for Higgs-boson masses of 5m(,w) and 7m(,w). The Higgs-boson-decay signal should be visible in the energy and p(,T) distributions of the vector bosons.; In Part II, the radiative corrections to both the decay rate for (pi)('o) (--->) (gamma)e('+)e('-) and the differential spectrum in the invariant mass of the Dalitz pain for experiments with limited geometrical acceptance are calculated.; In Part III, we introduce a generalised model for random paths (in arbitrary dimension) which smoothly interpolates between the standard paths (fermionic or bosonic) and the self-avoiding paths. An efficient Monte Carlo algorithm to simulate the model is presented along with some preliminary results for average length, intersection, overlap and mean square size of paths in three and four dimensions. |
