Electric dipole moments from dark sectors

Abstract

We examine the sensitivity of electric dipole moments (EDMs) to new CP-violating physics in a hidden (or dark) sector, neutral under the Standard Model (SM) gauge groups, and coupled via renormalizable portals. In the absence of weak sector interactions, we show that the electron EDM can be induced purely through the gauge kinetic mixing portal, but requires five loops, and four powers of the kinetic mixing parameter ϵ. Allowing weak interactions, and incorporating the Higgs and neutrino portals, we show that the leading contributions to d e arise at two-loop order, with the main source of CP-violating being in the interaction of dark Higgs and heavy singlet neutrinos. In such models, EDMs can provide new sensitivity to portal couplings that is complementary to direct probes at the intensity frontier or high energy colliders.

CP violation from charged Higgs bosons in the three Higgs doublet model

“…At the same time, new CP-violating physics with direct couplings to quarks or leptons is becoming increasingly tightly constrained by measurements that set stringent upper limits on the electric dipole moments (EDMs) of the neutron [3] and electron [4]. These improved limits have led particle theorists to consider models in which the additional CP violation is sequestered in a hidden or dark sector that does not couple directly to SM fermions [5][6][7][8][9][10][11].…”

“…(2.17) and(2.20), the Yukawa coupling coefficients in our parameterization are:−c θ s β (c δ + is δ ) − s θ c γ c β c β s γ , −c θ c β (c δ + is δ ) + s θ c γ s β s β s γ , s θ s β (c δ + is δ ) − c θ c γ c β c β s γ , s θ c β (c δ + is δ ) + c θ c γ s β s β s γ ,The combinations that appear in the EDM calculations are:Im(−X 2 Y * 2 ) = s θ c θ s δ s β c β s γ t γ = −Im(−X 3 Y * 3 ), (B.7) Im(−Y * 2 Z 2 ) = − s θ c θ s δ t β c γ = −Im(−Y * 3 Z 3 ). (B 8).…”

The Stark effect in superfluid $^4$He with relative flows

“…For instance, the baryon-anti-baryon asymmetry of the visible Universe could be related to the CP-breaking, which, in its turn, is directly related to carrying the electric dipole moment by elementary particles. (See, e.g., [38][39][40][41][42] for reviews, and the results of the ACME group [43][44][45] in the measurements of the electron electric dipole moment (EDM) in atomic and molecular physics.) Note, however, the principle mismatch between the results of ours and that of the ACME collaboration and theoretical computations based on QFT.…”

“…Note, however, the principle mismatch between the results of ours and that of the ACME collaboration and theoretical computations based on QFT. The electron's electric dipole moment is theoretically predicted to be d e ∼ 1.6 × 10 −48 ÷ 10 −51 C•m (see [40] for recent computations of the e − EDM) and measured by the ACME collaboration to be |d e | < 1.76 • 10 −50 C• m that (at least) 16 orders less that the electric dipole moment of the liquid helium. The value of the helion ( 3 He ++ ) light nuclei EDM is mostly determined by the neutron's EDM [42], and is of the order d h ∼ 2.6 • 10 −47 C• m. Therefore, the electric dipole moment of the liquid helium in presence of relative flows can not be ultimately treated as that of its elementary constituents, such as electrons, protons etc.…”

Electric dipole moments, new forces and dark matter

“…Previous studies about CP violation and the predictions for EDMs have mostly focused in the context of the Minimal Supersymmetric Standard Model (MSSM), see e.g. [6][7][8][9][10][11][12][13][14][15][16][17][18], and split-SUSY [19][20][21]; there are a few studies in the context of dark sectors [22,23] and see refs. [24][25][26][27][28][29] for other studies.…”