Firstly, scalar quark mass matrices are calculated for a non-minimal SU<sub>5</sub> N=l supergravity theory with realistic fermion masses. The squark mixing matrices, analogues of the Kobayashi-Maskawa matrices for quarks, are also calculated and have significant off-diagonal entries. Thus, there are non-zero flavour-changing gaugino interactions between 'up' quarks and 'up' squarks in the non-minimal model. This is in contrast to the case for minimal SU<sub>5</sub> . It is shown that in the non-minimal model flavour-changing gluino interactions contribute to the proton decay modes p → μ<sup>+</sup>K<sup>0</sup>, ῡ<sub>μ</sub>K<sup>+</sup> at about the same rate as the mode p → ῡ<sub>μ</sub>K<sup>+</sup> mediated by Wino exchange. Contributions to the K<sub>L</sub>-K<sub>S</sub> mass difference from flavour-changing gluino and wino interactions are small. Secondly, for a finite N=2 globally supersymmetric theory it is shown that the set of finiteness-preserving soft operators previously derived by Parkes and West is incomplete. The complete set of 1-loop finite operators is derived by a graphical analysis, and it is shown that most of these preserve finiteness to all orders. The low-energy N=2 model of Del Aguila et al. is reviewed, and it is shown that new constraints on the τ-neutrino mass require an unnaturally high scale of supersymmebry breaking in the model.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:355826 |
| Date | January 1985 |
| Creators | Wilkinson, Stephen Kidman |
| Contributors | Ross, Graham G. : Dalitz, Richard Henry |
| Publisher | University of Oxford |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://ora.ox.ac.uk/objects/uuid:97d393e8-6dd0-454a-a36b-e72f8f03369c |
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