Abstract
The constraint on the $R$-parity violating supersymmetric interactions is discussed 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 couplings 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 proton, 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 programming 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.
Highlights
The supersymmetric (SUSY) extension of the Standard Model (SM) has widely been discussed as a good candidate of the new physics [1,2,3]
After performing the analysis using the linear programming method, we have found the upper limits on bilinears of RPV couplings listed in table 9
We have developed a new calculational technique based on the linear programming method, have given limits on the imaginary parts of RPV bilinears, and have predicted the maximally possible values for observables of prepared or on-going experiments under the currently available experimental constraints (4.5)
Summary
The supersymmetric (SUSY) extension of the Standard Model (SM) has widely been discussed as a good candidate of the new physics [1,2,3]. The LHC data have so far placed only tight constraints on the SUSY parameter space. It is to be noted, that most of the SUSY analyses of LHC results have been performed, assuming the R-parity conservation. If this assumption is relaxed, decay modes of superparticles become different and the constrained parameter space could be significantly altered. The principal reason for our renewed interest in RPV SUSY models is to extend the scope of looking at LHC data and of groping our way towards new physics
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