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

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.

24 pages, 6 figures

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Cited by in corpus (4)

• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
• Enhancement of the CP-odd effect in the nuclear electric dipole moment of ${}^6$Li
• CP violating effects in ${}^{210}$Fr and prospects for new physics beyond the Standard Model
• A new measurement of electron transverse polarization in polarized nuclear beta decay