Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles

Abstract

High-precision measurements of violations of fundamental symmetries in atoms are a very effective means of testing the standard model of elementary particles and searching for new physics beyond it. Such studies complement measurements at high energies. We review the recent progress in atomic parity nonconservation and atomic electric dipole moments (time reversal symmetry violation), with a particular focus on the atomic theory required to interpret the measurements.

103 pages, 23 figures; submitted to Physics Reports; comments welcome

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• Observation of Large CP Violation in the Neutral B Meson System
• Observation of CP violation in the B^0 meson system
• Measurement of the 6S-7S transition polarizablility in atomic cesium and an improved test of the standard model
• Measurement of the electron electric dipole moment using YbF molecules
• Neutrino Masses and Mixing: Evidence and Implications
• Parity Violating Measurements of Neutron Densities
• A new limit on the permanent electric dipole moment of ^{199}Hg
• Enhanced T-odd P-odd Electromagnetic Moments in Reflection Asymmetric Nuclei
• Theta-Induced Electric Dipole Moment of the Neutron via QCD Sum Rules
• Neutron EDM from Electric and Chromoelectric Dipole Moments of Quarks
• Collective T- and P- Odd Electromagnetic Moments in Nuclei with Octupole Deformations
• Neutron Electric Dipole Moment In The Standard Model: Valence Quark Contributions
• Precise calculation of parity nonconservation in cesium and test of the standard model
• Atomic Parity Nonconservation and Nuclear Anapole Moments
• Indications for an Extra Neutral Gauge Boson in Electroweak Precision Data
• Electric dipole moments of Hg, Xe, Rn, Ra, Pu, and TlF induced by the nuclear Schiff moment and limits on time-reversal violating interactions
• High precision measurement of the static dipole polarizability of cesium
• Calculations of parity nonconserving s-d transitions in Cs, Fr, Ba II, and Ra II
• Reconciliation of the Measurement of Parity-Nonconservation in Cs with the Standard Model
• Time-Reversal Violating Schiff Moment of 225Ra
• The anapole moment and nucleon weak interactions
• Low-Energy Parity-Violation and New Physics
• High accuracy calculation of 6s -> 7s parity nonconserving amplitude in Cs
• Atomic Parity Nonconservation: Electroweak Parameters and Nuclear Structure
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Solid State Systems for Electron Electric Dipole Moment and other Fundamental Measurements
• Nuclear Anapole Moments
• Electric dipole moment of the electron in YbF molecule
• The nuclear Schiff moment and time invariance violation in atoms
• Best Values for the CP-odd Meson-Nucleon Couplings from Supersymmetry
• Schiff moment of the Mercury nucleus and the proton dipole moment
• Correlated many-body treatment of Breit interaction with application to cesium atomic properties and parity violation
• Enhancement of the electric dipole moment of the electron in PbO
• Radiative corrections and parity nonconservation in heavy atoms
• Measurement of the 6s - 7p transition probabilities in atomic cesium and a revised value for the weak charge Q_W
• Nuclear Octupole Correlations and the Enhancement of Atomic Time-Reversal Violation
• Parity non-conservation in thallium
• High-precision determination of transition amplitudes of principal transitions in Cs from van der Waals coefficient C_6
• Calculation of $P_{a}nd$T_ odd effects in $"" sup 205_TIF including electron correlation
• Enhancement of the electric dipole moment of the electron in the YbF molecule
• Calculation of parity and time invariance violation in the radium atom
• Matrix Elements between Nuclear Compound States and Dynamical Enhancement of the Weak Interaction
• Bounds on New Physics from the New Data on Parity Violation in Atomic Cesium
• Combined effect of coherent Z exchange and the hyperfine interaction in atomic PNC
• Off-Diagonal Hyperfine Interaction and Parity Non-conservation in Cesium
• QED radiative corrections to parity nonconservation in heavy atoms
• A new Manifestation of Atomic Parity Violation in Cesium: a Chiral Optical Gain induced by linearly polarized 6S-7S Excitation
• Parity Violation in Proton-Proton Scattering at 221 MeV
• Role of Present and Future Atomic Parity Violation Experiments in Precision Electroweak Tests
• Violation of Time-Reversal Invariance and CPLEAR Measurements
• Enhancement of nuclear Schiff moments and time reversal violation in atoms due to soft nuclear octupole vibrations
• Anapole Moment and Other Constraints on the Strangeness Conserving Hadronic Weak Interaction
• Polarizabilities and parity non-conservation in the Cs atom and limits on the deviation from the standard electroweak model
• Parity Violation in Proton-Proton Scattering at 221 MeV
• Atomic Parity Violation and Precision Electroweak Physics - An Updated Analysis
• Atomic Parity Violation, Leptoquarks, and Contact Interactions
• Calculation of radiative corrections to the effect of parity nonconservation in heavy atoms
• Enhancement of parity and time invariance violation in Radium atom
• Breit interaction correction to the hyperfine constant of an external s-electron in many-electron atom
• Enhancement factor for the electron electric dipole moment in francium and gold atoms
• Nuclear Magnetic Quadrupole Moments in Single Particle Approximation
• Atomic parity nonconservation and neutron radii in cesium isotopes
• Parity nonconservation in heavy atoms: The radiative correction enhanced by the strong electric field of the nucleus
• Radiative Corrections to Parity Nonconserving Transitions in Atoms
• Statistical Theory of Parity Nonconservation in Compound Nuclei
• Energy levels and lifetimes of Gd IV and enhancement of the electron dipole moment
• Recent Developments in Precision Electroweak Physics
• Comment on "New Experimental Limit for the Electric Dipole Moment of the Neutron"
• Impact of Atomic Parity Violation Measurements on Precision Electroweak Physics
• Renormalization of the P- and T-odd nuclear potentials by the strong interaction and enhancement of P-odd effective field
• Nuclear Anapole Moments in Single Particle Approximation
• Reevaluation of the role of nuclear uncertainties in experiments on atomic parity violation with isotopic chains
• Neutron density distributions for atomic parity nonconservation experiments
• Many-body corrections to the nuclear anapole moment II
• Experimental determination of the $6s^2 ^1S_0 -> 5d6s ^3 D_1$ magnetic-dipole transition amplitude in atomic ytterbium
• Enhancement of the electron electric dipole moment in gadolinium garnets
• Many Body Corrections to Nuclear Anapole Moment
• Time invariance violating nuclear electric octupole moments
• Constraints on CP violating four-fermion interactions
• Influence of perturbations on the electron wave function inside the nucleus
• Searches for violation of fundamental time reversal and space reflection symmetries in solid state experiments
• Enhancement of the electron electric dipole moment in gadolinium 3+
• TRI$\mu$P - A New Facility to Investigate Fundamental Interactions with Optically Trapped Radioactive Atoms
• Vacuum-polarization corrections to the parity-nonconserving 6s-7p transition amplitude in 133Cs
• Nuclear Spin-Isospin Correlations, Parity Violation, and the $f_{\pi }$ Problem
• CP Violation
• Core-Polarization Contribution to the Nuclear Anapole Moment
• Nuclear-Spin-Dependent Parity-Nonconserving Effects in Thallium, Lead and Bismuth Atoms
• Limits on the monopole magnetic field from measurements of the electric dipole moments of atoms, molecules and the neutron
• The d=6 trace anomaly from quantum field theory four-loop graphs in one dimension
• Dyons as a source of CP and time invariance violation: electric dipole moments and K-meson decays

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• Electric Dipole Moments in the MSSM at Large tan(beta)
• First Determination of the Weak Charge of the Proton
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• Testing the Standard Model by precision measurement of the weak charges of quarks
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• Large long-distance contributions to the electric dipole moments of charged leptons in the standard model
• Light Weakly Coupled Axial Forces: Models, Constraints, and Projections
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• CP-odd Phase Correlations and Electric Dipole Moments
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• Improved limits on axion-like-particle-mediated P,T-violating interactions between electrons and nucleons from electric dipole moments of atoms and molecules
• Parity-violating interactions of cosmic fields with atoms, molecules, and nuclei: Concepts and calculations for laboratory searches and extracting limits
• Opportunities for Fundamental Physics Research with Radioactive Molecules
• Limiting P-odd interactions of cosmic fields with electrons, protons and neutrons
• Towards the electron EDM search: Theoretical study of HfF+
• Atomic Parity Non-Conservation, Neutron Radii, and Effective Field Theories of Nuclei
• Theoretical study of ThF${}^{+}$ in the search for T,P-violation effects: Effective state of a Th atom in ThF${}^{+}$ and ThO compounds
• On the use of the $V^{N-M}$ approximation in atomic calculations
• Lifetime measurements of the 5d states of rubidium
• Isotopic variation of parity violation in atomic ytterbium
• Quark level and hadronic contributions to the electric dipole moment of charged leptons in the standard model
• Theoretical study of HfF${}^{+}$ cation to search for the T,P-odd interactions
• Relativistic Coupled-Cluster Theory of Atomic Parity Nonconservation: Application to ${}^{137}$Ba${}^{+}$
• Electroweak Precision Tests of the Standard Model after the Discovery of the Higgs Boson
• Dispelling the curse of the neutron skin in atomic parity violation
• Intrinsic Electric Dipole Moments of Paramagnetic Atoms: Rubidium and Cesium
• Radiative Corrections in Precision Electroweak Physics: a Historical Perspective
• Atomic many-body effects and Lamb shifts in alkali metals
• Nuclear spin-dependent interactions: Searches for WIMP, Axion and Topological Defect Dark Matter, and Tests of Fundamental Symmetries
• CeNTREX: A new search for time-reversal symmetry violation in the ${}^{205}$Tl nucleus
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• Symmetry violations in nuclear and neutron $\beta$ decay
• QED Calculation of E1M1 and E1E2 Transition Probabilities in One-Electron Ions with Arbitrary Nuclear Charge
• Atomic Parity Violation : Principles, Recent Results, Present Motivations
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• Breit Interaction and Parity Non-conservation in Many-Electron Atoms
• Probing low-mass vector bosons with parity nonconservation and nuclear anapole moment measurements in atoms and molecules
• Measurement of the Permanent Electric Dipole Moment of the ${}^{129}$Xe Atom
• Enhancement of the CP-odd effect in the nuclear electric dipole moment of ${}^6$Li
• Electric dipole moments of atoms and molecules produced by enhanced nuclear Schiff moments
• Calculations of energy levels and lifetimes of low-lying states of barium and radium
• Sensitivity of EDM experiments in paramagnetic atoms and molecules to hadronic CP violation
• Relativistic coupled-cluster study of RaF as a candidate for parity and time reversal violating interaction
• Review of the electric dipole moment of light nuclei
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• Weak Polarized Electron Scattering
• Calculation of the (T,P)-odd Electric Dipole Moment of Thallium
• Ab initio study of parity and time-reversal violation in laser-coolable triatomic molecules
• Theoretical study of lifetimes and polarizabilities in Ba+
• Study of the scalar-pseudoscalar interaction in the francium atom
• Enhanced nuclear Schiff moment and time reversal violation in 229Th-containing molecules
• Theoretical study of ${}^{173}$YbOH to search for the nuclear magnetic quadrupole moment
• 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
• Ground-state hyperfine splitting for Rb, Cs, Fr, Ba^+, and Ra^+
• Nuclear magnetization distribution effect in molecules: Ra${}^{+}$ and RaF hyperfine structure
• Model-independent determinations of the electron EDM and the role of diamagnetic atoms
• Standard Model prediction for paramagnetic EDMs
• Systematic study of relativistic and chemical enhancements of $\mathcal{P},\mathcal{T}$-odd effects in polar diatomic radicals
• Neutron-Electron EDM Correlations in Supersymmetry and Prospects for EDM Searches
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• Core-valence correlations for atoms with open shells
• Lifetime and hyperfine splitting measurements on the 7s and 6p levels in rubidium
• Measuring molecular parity nonconservation using nuclear magnetic resonance spectroscopy
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• Relativistic Equation of Motion Coupled-Cluster Method: Application to the closed-shell atomic systems
• Towards the search of electron electric dipole moment: correlation calculations of the P,T-violation effect in the Eu${}^{++}$ cation
• Spin-dependent exotic interactions
• D vs d: CP Violation in Beta Decay and Electric Dipole Moments
• Quantum electrodynamics corrections to energies, transition amplitudes and parity nonconservation in Rb, Cs, Ba${}^{+}$, Tl, Fr and Ra${}^{+}$
• Calculation of nuclear-spin-dependent parity nonconservation in s-d transitions of Ba${}^{+}$, Yb${}^{+}$ and Ra${}^{+}$ ions
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• Manifestations of nuclear CP-violation in ThO molecule
• Nuclear spin-dependent parity-violating effects in light polyatomic molecules
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• Systematic study and uncertainty evaluation of $P,T$-odd molecular enhancement factors in BaF
• Electric dipole moments of actinide atoms and RaO molecule
• Parity nonconservation in ytterbium ion
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• Large-scale shell-model calculations of nuclear Schiff moments of ${}^{129}$Xe and ${}^{199}$Hg
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• Lifetime Measurement of the 8s Level in Francium
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• Quantum beat spectroscopy: stimulated emission probe of hyperfine quantum beats in the atomic Cs 8p ${}^2{P}_{3/2}$ level
• A linear Stark shift in dressed atoms as a signal to measure a nuclear anapole moment with a cold atom fountain or interferometer
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• Electric Field Induced Symmetry Breaking of Angular Momentum Distribution in Atoms
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• Electric dipole moments of superheavy elements - A case study on copernicium
• Fermion EDMs with Minimal Flavor Violation
• Experimental study of vapor-cell magneto-optical traps for efficient trapping of radioactive atoms
• Screening of nucleon electric dipole moments in atomic systems
• Parity nonconservation in hyperfine transitions
• Large electron electric dipole moment in minimal flavor violation framework with Majorana neutrinos
• {\it Ab initio} studies of electron correlation effects in the atomic parity violating amplitudes in Cs and Fr
• Diverse Trends of Electron Correlation Effects for Properties with Different Radial and Angular Factors in an Atomic System: A case study in Ca${}^{+}$
• Enhanced nuclear spin dependent parity violation effects using the 199HgH molecule
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• Discovering QCD-Coupled Axion Dark Matter with Polarization Haloscopes
• Using parity-nonconserving spin-spin coupling to measure the Tl nuclear anapole moment in a TlF molecular beam
• Relativistic Exact Two-Component Coupled-Cluster Study of Molecular Sensitivity Factors for Nuclear Schiff Moments
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• Experimental Precision Tests for the Electroweak Standard Model
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• Search for Light Gravitinos in Events with Photons and Missing Transverse Momentum at HERA
• P,T-Odd Interactions in Atomic ${}^{129}$Xe and Phenomenological Applications
• Static electric dipole moment of the francium atom induced by axionlike particle exchange
• Radium ion: A possible candidate for measuring atomic parity violation
• Weak quadrupole moments
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Electric dipole moments and dark matter in a CP violating MSSM
• Constraints on the nuclear Schiff moment from its correlation with electromagnetic properties
• Bubble Trouble: a Review on Electroweak Baryogenesis
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• Refined nuclear magnetic dipole moment of rhenium: ${}^{185}$Re and ${}^{187}$Re
• Calculation of parity non-conservation in xenon and mercury
• Parity and time-reversal symmetry violation in diatomic molecules: LaO, LaS and LuO
• $\mathcal{C}\mathcal{P}$-violation sensitivity of closed-shell radium-containing polyatomic molecular ions
• $\mathcal{P}$, $\mathcal{T}$-odd Faraday rotation in intracavity absorption spectroscopy with molecular beam as a possible way to improve the sensitivity of the search for the time reflection noninvariant effects in nature
• Effect of the neutron quadrupole distribution in the TaO${}^{+}$ cation
• Relativistic Coupled-Cluster Study of Diatomic Metal-Alkali Molecules for Electron Electric Dipole Moment Searches
• Manifestations of dark matter and variations of fundamental constants in atoms and astrophysical phenomena
• Revisiting Theoretical Analysis of Electric Dipole Moment of ${}^{129}$Xe
• Constraining CP violating nucleon-nucleon long range interactions in diatomic eEDM searches
• Parity nonconservation effect in the dielectronic recombination of polarized electrons with heavy He-like ions
• Tunable frequency-stabilization of UV laser using a Hallow-Cathode Lamp of atomic thallium
• Macroscopic amplification of electroweak effects in molecular Bose-Einstein condensates
• Atomic parity violation in 0-to-0 two-photon transitions
• An optical lattice based method for precise measurements of atomic parity violation
• HfF${}^{+}$ as a candidate to search for the nuclear weak quadruple moment
• $\mathcal{P},\mathcal{T}$-odd effects in YbCu, YbAg and YbAu
• Laser spectroscopy and CP-violation sensitivity of actinium monofluoride
• Hyperfine induced transitions 1S0 - 3D1 in Yb
• Parity nonconservation effect in resonance recombination of polarized electrons with heavy hydrogenlike ions
• R-parity violating two-loop level rainbowlike contribution to the fermion electric dipole moment
• CP Violation in Three-Body Chargino Decays
• Theoretical characterisation of the barium II and radium II ions
• Towards a first observation of magneto-electric directional anisotropy and linear birefringence in gases
• High-accuracy Nuclear Spin Dependent Parity Violating Amplitudes in ${}^{133}$Cs
• Pseudoscalar corrections to spin motion equation, search for electric dipole moment and muon magnetic (g-2) factor
• From heavy ions to exotic atoms
• Gravitational effects on geonium and free electron ${\mathrm{g}}_s$-factor measurements in a Penning trap
• Comment on "Laser cooling of ${}^{173}$Yb for isotope separation and precision hyperfine spectroscopy"
• Enhanced nuclear Schiff and electric dipole moments in nuclei with an octupole deformation
• Is the $\bar{\theta }$ parameter of QCD constant?
• Parity nonconservation effect in the resonance elastic electron scattering on heavy He-like ions
• Demonstrating Correlation Trends in the Electric Dipole Polarizabilities of Many Low-lying States in Cs I through First-principle Calculations
• Measuring the nuclear magnetic quadrupole moment of optically trapped ytterbium atoms in the metastable state
• Axion-mediated electron-nucleus and electron-electron interactions in barium monofluoride molecule
• Supersymmetry - When Theory Inspires Experimental Searches
• Weinberg operator contribution to the CP-odd nuclear force in the quark model
• Smallness of the nuclear polarization effect in the hyperfine structure of heavy muonic atoms as a stimulus for next-generation experiments
• Electroweak Measurements
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector
• The electron electric dipole moment enhancement factors of Rubidium and Caesium atoms
• Study of P,T-Parity Violation Effects in Polar Heavy-Atom Molecules
• Atomic parity violation in highly charged ${}^{40,48}$Ca and ${}^{208}$Pb ions
• Searching for Axion Dark Matter in Atoms: Oscillating Electric Dipole Moments and Spin-Precession Effects
• On search for nuclear Schiff moment in liquid xenon
• Vacuum polarization corrections to hyperfine structure in many-electron atoms
• The hyperfine anomaly in mercury and test of the Moskowitz-Lombardi rule
• Stark shift and parity non-conservation for near-degenerate states of xenon
• Flavor specific chiral $U(1{)}_X$ framework for explaining the ATOMKI anomaly
• Atomic Observables Induced by Cosmic Fields
• A new formulation of the relativistic many-body theory of electric dipole moments of closed shell atoms
• Nuclear Electric Quadrupole Moment-Induced Parity Doubling in Molecules for Symmetry-Violation Searches
• $\mathcal{P}$, $\mathcal{T}$-violating axion-mediated interactions in RaOH molecule
• T violation in radiative $\beta$ decay and electric dipole moments
• Alkali ion-to-neutral atom converter for the magneto-optical trap of a radioactive isotope
• Nuclear electric dipole moment of light nuclei in the gaussian expansion method
• Measurement of the electric quadrupole amplitude in atomic thallium $6P_{1/2}\to 6P_{3/2}$ transition using electromagnetically induced transparency
• Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments
• Measurement of cesium $8{}^2{P}_J\to 6{}^2{P}_{J^{\prime }}$ electric quadrupole transition probabilities using fluorescence spectroscopy
• Breit corrections to moderately charged ions in all-orders calculations