Nuclear electric dipole moment of light nuclei in the gaussian expansion method

Abstract

The nuclear electric dipole moment is a very sensitive probe of CP violation beyond the standard model, and for light nuclei, it can be evaluated accurately using few-body calculational methods. In this talk, we present the deuteron, 3 He, 3 H, 6 Li, and 9 Be electric dipole moments calculated using the Gaussian expansion method with a realistic nuclear force, and assuming the one-meson exchange model for the P, CP-odd nuclear force. We then give future prospects for models beyond the standard model such as the supersymmetry.

Analysis of the Electric Dipole Moment in the R-parity Violating Supersymmetric Standard Model

“…The SM model contribution to the quark EDM and chromo-EDM is induced at the three-loop level with a value of the order of d q ∼ 10 −35 e cm [40], being thus negligible. We have to note, however, that the long distance contribution at the hadronic level is three to four orders of magnitude larger [41][42][43][44][45], which is not "extremely" small, although it is still below the prospective expermental sensitivity.…”

Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation

“…The next-to-next-to-leading logarithmic order evolution of the SM contribution enhances one of the penguin operator (see Fig. 2) by a factor of about 40 when the scale is varied from µ = mW to µ = 1 GeV [266,267,268]. This effect is nontrivial and enhances the SM contribution to the nucleon level CP-odd processes from the naive estimation.…”

“…The CP-odd π-N-N coupling in SM ḡ(1) πNN,SM = O(10 −17 ) which was given in the factorization approach with the |∆S| = 1 four-quark interaction calculated obtained from the two-loop level renormailzation group evolution (see also the end of Sec. 3.3) [268]. The CP-odd e-N interaction generated by the exchange of the Higgs boson in the SM is negligibly small [388].…”

Large long-distance contributions to the electric dipole moments of charged leptons in the standard model

“…As for the nucleon EDM, this contribution is larger than the quark EDM and chromo-EDM contributions by two or three orders of magnitude [48][49][50]. In the case of nuclear EDM or the nuclear Schiff moment, it was also shown that the long distance effect is also much larger than the short distance one [51][52][53]. Then what about the lepton EDM?…”

“…For the case of the |∆S| = 1 four-quark interaction, the renormalization from the electroweak scale µ = m W to the hadronic scale µ = 1 GeV changes the Wilson coefficients z i . From the numerical calculation of the running in the next-to-next leading logarithmic approximation [51,56], we obtain…”