Lattice QCD and the Neutron Electric Dipole Moment

Abstract

The recent lattice QCD calculations of the neutron and proton electric dipole moments (EDMs) and the CP-violating $\pi \mathrm{NN}$ coupling constant due to the $\theta$ term are reviewed. Progress towards nucleon EDM calculations, including the Weinberg three-gluon operator, and the quark chromoelectric dipole moment operator and their renormalization, is also discussed.

arXiv comment24 pages, 8 figures, submitted to Annual Review of Nuclear and Particle Science

References in corpus (58)

• Search for New Physics with Atoms and Molecules
• Exactly massless quarks on the lattice
• A Method for Simulating Chiral Fermions on the Lattice
• Progress in Electroweak Baryogenesis
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Chiral Fermions from Lattice Boundaries
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Measurement of the permanent electric dipole moment of the neutron
• FLAG Review 2021
• Planck-Scale Physics and the Peccei-Quinn Mechanism
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• The index theorem in QCD with a finite cut-off
• Solutions to the strong CP problem in a world with gravity
• Ab initio calculation of the neutron-proton mass difference
• Cosmological-Parameter Determination with Microwave Background Maps
• Electric Dipole Moments of the Atoms, Molecules, Nuclei and Particles
• Electroweak Baryogenesis and Standard Model CP Violation
• A precision measurement of the electron's electric dipole moment using trapped molecular ions
• Lattice QCD without tuning, mixing and current renormalization
• Baryon Asymmetry of the Universe in the Standard Model
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Proton Mass Decomposition from the QCD Energy Momentum Tensor
• A continuum limit of the chiral Jacobian in lattice gauge theory
• The Effective Chiral Lagrangian From Dimension-Six Parity and Time-Reversal Violation
• Flavor diagonal tensor charges of the nucleon from 2+1+1 flavor lattice QCD
• A Study of Practical Implementations of the Overlap-Dirac Operator in Four Dimensions
• Testing the fixed-point QCD action and the construction of chiral currents
• Quark spins and Anomalous Ward Identity
• Confirming the Existence of the strong CP Problem in Lattice QCD with the Gradient Flow
• The electric dipole moment of the neutron from 2+1 flavor lattice QCD
• Dimension-5 CP-odd operators: QCD mixing and renormalization
• Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
• Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution
• Solutions of the Ginsparg-Wilson Relation
• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
• The Effective Chiral Lagrangian From the Theta Term
• Reexamination of The Standard Model Nucleon Electric Dipole Moment
• Axial anomaly and topological charge in lattice gauge theory with Overlap Dirac operator
• Chiral Symmetry, Quark Mass, and Scaling of the Overlap Fermions
• The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory
• First ultracold neutrons produced at TRIUMF
• Neutron electric dipole moment using $N_f=2+1+1$ twisted mass fermions
• Variance Reduction and Cluster Decomposition
• Contribution of the QCD $\Theta$-term to nucleon electric dipole moment
• Low Energy Probes of Physics Beyond the Standard Model
• The PanEDM Neutron Electric Dipole Moment Experiment at the ILL
• Heavy and Light Quarks with Lattice Chiral Fermions
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• Short flow-time coefficients of CP-violating operators
• Extrapolation Formulas for Neutron EDM Calculations in Lattice QCD
• Ratio of strange to $u/d$ momentum fraction in disconnected insertions
• Electric Dipole Moment Results from lattice QCD
• One-loop matching of the $CP$-odd three-gluon operator to the gradient flow
• Can the Baryon Asymmetry Arise From Initial Conditions?
• On Possibilities of High Precision Fundamental Physics Experiments in Spin-Transparent Storage Rings of Low Energy Polarized Electron Beams
• Comparison of Multi-quark Matrix Inversion Algorithms
• Neutron Electric Dipole Moment at Fixed Topology
• The Contribution of Novel CP Violating Operators to the nEDM using Lattice QCD

Cited by in corpus (2)

• Strong CP Violation and large-$N_c$ spin-flavor symmetry
• Physical remnant of electroweak theta angles