Model-independent determinations of the electron EDM and the role of diamagnetic atoms

Abstract

We perform model-independent analyses extracting limits for the electric dipole moment of the electron and the P,T-odd scalar-pseudoscalar (S-PS) nucleon-electron coupling from the most recent measurements with atoms and molecules. The analysis using paramagnetic systems, only, is improved substantially by the inclusion of the recent measurement on HfF+ ions, but complicated by the fact that the corresponding constraints are largely aligned, owing to a general relation between the coefficients for the two contributions. Since this same relation does not hold in diamagnetic systems, it is possible to find atoms that provide essentially orthogonal constraints to those from para\-magnetic ones. However, the coefficients are suppressed in closed-shell systems and enhancements of P,T-odd effects are only prevalent in the presence of hyperfine interactions. We formulate the hyperfine-induced time-reversal-symmetry breaking S-PS nucleon-electron interaction in general atoms in a mixed perturbative and variational approach, based on electronic Dirac-wavefunctions including the effects of electron correlations. The method is applied to the Hg atom, yielding the first direct calculation of the coefficient of the S-PS nucleon-electron coupling in a diamagnetic system. This results in additionally improved model-independent limits for both the electron EDM and the nucleon-electron coupling from the global fit. Finally we employ this fit to provide indirect limits for several paramagnetic systems under investigation.

arXiv comment15+5 pages, 6 tables, 1 figure

References in corpus (39)

• Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
• Electric dipole moments as probes of new physics
• Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• Standard Model CP-violation and Baryon asymmetry
• Electroweak Baryogenesis and Standard Model CP Violation
• Measurement of the electron electric dipole moment using YbF molecules
• Standard Model CP-violation and Baryon asymmetry Part II: Finite Temperature
• A precision measurement of the electron's electric dipole moment using trapped molecular ions
• Flavour physics of leptons and dipole moments
• Reduced Limit on the Permanent Electric Dipole Moment of ${}^{199}$Hg
• Electric Dipole Moments in Two-Higgs-Doublet Models
• Searching for New Physics beyond the Standard Model in Electric Dipole Moment
• 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
• Electric Dipole Moments: A Global Analysis
• Measurement of the electron's electric dipole moment using YbF molecules: methods and data analysis
• The Effective Chiral Lagrangian From Dimension-Six Parity and Time-Reversal Violation
• Combined 4-component and relativistic pseudopotential study of ThO for the electron electric dipole moment search
• Calculation of P,T-odd electric dipole moments for diamagnetic atoms ${}^{129}$Xe, ${}^{171}$Yb, ${}^{199}$Hg, ${}^{211}$Rn, and ${}^{225}$Ra
• Theoretical study of HfF${}^{+}$ cation to search for the T,P-odd interactions
• Electron Electric Dipole Moment and Hyperfine Interaction Constants for ThO
• Intrinsic Electric Dipole Moments of Paramagnetic Atoms: Rubidium and Cesium
• Methods, Analysis, and the Treatment of Systematic Errors for the Electron Electric Dipole Moment Search in Thorium Monoxide
• Application of a Relativistic Coupled-Cluster Theory to the Effective Electric Field in YbF
• $\mathcal{P},\mathcal{T}$-Odd and Magnetic Hyperfine Interaction Constants and Excited-State Lifetime for HfF${}^{+}$
• Electric dipole moment enhancement factor of thallium
• Rigorous limits for hadronic and semi-leptonic CP-violating coupling constants from the electric dipole moment of ${}^{199}$Hg
• Relativistic Normal Coupled-Cluster Theory for Accurate Determination of Electric Dipole Moments of Atoms: First application to ${}^{199}$Hg atom
• Probing CP violation with the electric dipole moment of atomic mercury
• Calculation of the (T,P)-odd Electric Dipole Moment of Thallium
• Study of the scalar-pseudoscalar interaction in the francium atom
• Improved limits on the hadronic and semi-hadronic CP violating parameters and role of a dark force carrier in the electric dipole moment of ${}^{199}$Hg
• A robust limit for the electric dipole moment of the electron
• Linear programming analysis of the $R$-parity violation within EDM-constraints
• TaN, a molecular system for probing $\mathcal{P},\mathcal{T}$-violating hadron physics
• A Reappraisal of the Electric Dipole Moment Enhancement Factor for Thallium
• Double core polarization contribution to atomic PNC and EDM calculations
• Electric dipole moments of superheavy elements - A case study on copernicium
• Brief remarks on "Electric dipole moment enhancement factor of thallium"

Cited by in corpus (34)

• Electric Dipole Moments of the Atoms, Molecules, Nuclei and Particles
• The DIRAC code for relativistic molecular calculations
• A new bound on the electron's electric dipole moment
• The phenomenology of electric dipole moments in models of scalar leptoquarks
• Effective field theory interpretation of lepton magnetic and electric dipole moments
• Experimental constraint on axion-like particle coupling over seven orders of magnitude in mass
• $\mathbf{C}\mathbf{P}$ violation in Higgs-gauge interactions: from tabletop experiments to the LHC
• NLO QCD corrections to SM-EFT dilepton and electroweak Higgs boson production, matched to parton shower in POWHEG
• Systematic study of relativistic and chemical enhancements of $\mathcal{P},\mathcal{T}$-odd effects in polar diatomic radicals
• Spin-dependent exotic interactions
• Non-Perturbative Effects in $\mu \to e\gamma$
• Systematic study and uncertainty evaluation of $P,T$-odd molecular enhancement factors in BaF
• Electric dipole moment of ${}^{199}$Hg atom from P, CP-odd electron-nucleon interaction
• CP-violating axion interactions in effective field theory
• CP-violating Dark Photon Interaction
• Indirect Signs of the Peccei-Quinn Mechanism
• Searches for exotic spin-dependent interactions with spin sensors
• Limits on $CP$-violating hadronic interactions and proton EDM from paramagnetic molecules
• A New Concept for Searching for Time-Reversal Symmetry Violation Using Pa-229 Ions Trapped in Optical Crystals
• Electric dipole moments due to nuclear Schiff moment interactions: A reassessment of the atoms ${}^{129}$Xe, ${}^{199}$Hg, and the molecule ${}^{205}$TlF
• Effects of $CP$-violating internucleon interactions in paramagnetic molecules
• Global analysis of CP-violation in atoms, molecules and role of medium-heavy systems
• $(\mathcal{P},\mathcal{T})$-Odd Tensor-Pseudotensor Interactions in atomic {${}^{199}$Hg} and {${}^{225}$Ra}
• Search for electric dipole moments
• P,T-Odd Interactions in Atomic ${}^{129}$Xe and Phenomenological Applications
• CP-violating axion interactions II: axions as Dark Matter
• Constraining CP-violating electron-gluonic operators
• Bubble Trouble: a Review on Electroweak Baryogenesis
• Relativistic Coupled-Cluster Study of Diatomic Metal-Alkali Molecules for Electron Electric Dipole Moment Searches
• $\mathcal{C}\mathcal{P}$-violation sensitivity of closed-shell radium-containing polyatomic molecular ions
• Constraining CP violating nucleon-nucleon long range interactions in diatomic eEDM searches
• Nucleon Electric Dipole Moments in Paramagnetic Molecules through Effective Field Theory
• Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments
• Uncovering an Axion Mechanism with the EDM Portfolio