Linear programming analysis of the R-parity violation within EDM-constraints

The constraint on the R-parity violating supersymmetric interactions is dis- cussed in the light of current experimental data of the electric dipole moment of neutron, 129 Xe , 205 Tl, and 199 Hg atoms, and YbF and ThO molecules. To investigate the constraints without relying upon the assumption of the dominance of a particular combination of cou- plings over all the rest, an extensive use is made of the linear programming method in the scan of the parameter space. We give maximally possible values for the EDMs of the pro- ton, deuteron, 3 He nucleus, 211 Rn, 225 Ra, 210 Fr, and the R-correlation of the neutron beta decay within the constraints from the current experimental data of the EDMs of neutron, 129 Xe, 205 Tl, and 199 Hg atoms, and YbF and ThO molecules using the linear program- ming method. It is found that the R-correlation of the neutron beta decay and hadronic EDMs are very useful observables to constrain definite regions of the parameter space of the R-parity violating supersymmetry.