R-parity violation and unification |
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| Affiliation: | 1. School of Materials and Energy, Guangdong University of Technology, Guangzhou 510006, China;2. Department of Physics, International Islamic University, Islamabad 44000, Pakistan;3. Centre for Advanced Electronics & Photovoltaic Engineering (CAEPE), International Islamic University, Islamabad 44000, Pakistan;1. School of Engineering, University of Glasgow, United Kingdom;2. Institute of Continuum Mechanics and Materials Mechanics, Hamburg University of Technology, Germany;3. Institute of Materials Research, Helmholtz-Zentrum Geesthacht, Germany;4. Centre for Research in Computational and Applied Mechanics, University of Cape Town, South Africa;5. National Centre for Advanced Tribology at Southampton (nCATS)/ Bioengineering Science Research Group, Faculty of Engineering and the Environment, University of Southampton, United Kingdom;6. Biomechanics and Mechanobiology Laboratory, Department of Human Biology, Faculty of Health Sciences, University of Cape Town, South Africa;1. Department of Ophthalmology, Casey Eye Institute, Oregon Health & Science University, Portland, Oregon;2. Department of Medical Informatics and Clinical Epidemiology, Oregon Health & Science University, Portland, Oregon;3. Athinoula A. Martinos Center for Biomedical Imaging, Department of Radiology, Massachusetts General Hospital, Charlestown, Massachusetts;4. Department of Ophthalmology, University of Illinois-Chicago, Chicago, Illinois |
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| Abstract: | The reported anomaly in deep-inelastic scattering at HERA has revived interest in the phenomenology of R-parity violation. From the theoretical point of view, the existence of R-violating interactions poses two considerable problems. The first one concerns the flavour structure of the interactions and the origin of an appropriate suppression of flavour-changing neutral-current processes and lepton-family transitions. The second one concerns the way of embedding R-violating interactions in a grand unified theory (GUT) without introducing unacceptable nucleon decay rates. We show that the second problem can be solved by mechanism which is purely group theoretical and does not rely on details of the flavour theory. We construct explicit GUT models in which our mechanism can be realized. |
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