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

Abstract

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.

Nuclear electric dipole moments in chiral effective field theory

“…the analysis in ref. [42]. In order to focus on the cases of the QCD θ-term and the mLRSM in the two subsequent sections, the discussion in ref.…”

Electric dipole moment of C13

“…The 13 C nucleus is therefore a good candidate to probe the linear combination of d n andḡ (1) πN N . In the analysis of new physics beyond the standard model, there is always some region of the parameter space which escapes the EDM-constraints [114][115][116][117][118]. The measurement of 13 C EDM may therefore be an important piece to determine or discriminate candidates of new physics.…”

“…If the nuclear EDM is measured with the prospective sensitivity O(10 −29 )e cm, then the latter combination of couplings and new particle mass can be probed at the level of O(0.1 PeV). Those new physics include the left-right symmetric model [57], the Higgs doublet models [124][125][126], supersymmetric models with R-parity violation [118,[127][128][129][130], etc.…”

P- andT-violating Lagrangians in chiral effective field theory and nuclear electric dipole moments

“…A single EDM measurement would not be sufficient to identify the source of P and T violation and EDM measurements of several light nuclei are in general required to impose constraints on the sources of P and T violation within and beyond the SM [20][21][22][23][24][25]. This paper provides a detailed explanation of the formal but necessary aspects of the investigation of the EDMs of light nuclei, i.e.…”