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

TL;DR

This paper uses linear programming to analyze constraints on R-parity violating supersymmetry from current EDM measurements, providing maximum possible EDM values and identifying key observables for constraining the model.

Contribution

It introduces a comprehensive linear programming approach to explore the parameter space without dominance assumptions, offering new bounds on EDMs and R-parity violation.

Findings

Maximum EDM values for various nuclei and particles are established.

R-correlation in neutron beta decay is a sensitive observable for constraints.

Hadronic EDMs effectively restrict R-parity violating parameters.

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.