Analysis of the electric dipole moment in the R-parity violating supersymmetric standard model : doctoral thesis accepted by Osaka University, Osaka, Japan

In this thesis the author discusses the phenomenology of supersymmetric models by means of experimental data set analysis of the electric dipole moment. There is an evaluation of the elementary processes contributing to the electric dipole moments within R-parity-violating supersymmetry, which call for higher-order perturbative computations. A new method based on linear programming is developed and for the first time the non-trivial parameter space of R-parity violation respecting the constraints from existing experimental data of the electric dipole moment is revealed. As well, the impressive efficiency of the new method in scanning the parameter space of the R-parity-violating sector is effectively demonstrated. This new method makes it possible to extract from the experimental data a more reliable constraint on the R-parity violation. Front Matter....Pages i-xiv Introduction....Pages 1-6 Front Matter....Pages 7-7 The Supersymmetry....Pages 9-15 Minimal Supersymmetric Standard Model....Pages 17-23 R-parity Violation and Phenomenological Constraints....Pages 25-36 Front Matter....Pages 37-37 Backgrounds and Motivations for EDM Search....Pages 39-43 Hadron Level Calculation....Pages 45-64 Nuclear Level Calculation....Pages 65-84 Atomic Level Calculation....Pages 85-95 EDM in the Standard Model....Pages 97-103 Constraints on Supersymmetric Models from Electric Dipole Moments....Pages 105-112 Front Matter....Pages 113-113 Leading RPV Contributions to the EDM Observables....Pages 115-129 Classification of RPV Couplings and RPV Dependence to EDM Observables....Pages 131-137 Reappraisal of Constraints on R-parity Violation from EDM at the Leading Order....Pages 139-144 Analysis of the Maximal CP Violation of RPV Interactions Within $$^{205}$$ Tl, $$^{199}$$ Hg, $$^{129}$$ Xe and Neutron EDM-Constraints Using Linear Programming Method....Pages 145-159 Analysis of the RPV Contribution to the P, CP-Odd 4-Fermion Interaction at the One-Loop Level....Pages 161-171 Summary and Future Prospects....Pages 173-176 Back Matter....Pages 177-219 This book provides a detailed review of the supersymmetry, the many-body physics of the electric dipole moments. It develops a new method based on linear programming and identifies a new limit to the CP violation of the R-parity violating supersymmetry.