Baryon electric dipole moments from strong CP violation

Abstract

The electric dipole form factors and moments of the ground state baryons are calculated in chiral perturbation theory at next-to-leading order. We show that the baryon electric dipole form factors at this order depend only on two combinations of low-energy constants. We also derive various relations that are free of unknown low-energy constants. We use recent lattice QCD data to calculate all baryon EDMs. In particular, we find d_n = -2.9\pm 0.9 and d_p = 1.1\pm 1.1 in units of 10^{-16} e θ_0 cm. Finite volume corrections to the moments are also worked out. We show that for a precision extraction from lattice QCD data, the next-to-leading order terms have to be accounted for.

30 pages, 8 figures, to appear in JHEP

References in corpus (35)

• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Chiral Dynamics in Nucleons and Nuclei
• Electric dipole moments as probes of new physics
• Chiral Perturbation Theory and Baryon Properties
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• Chiral expansion of baryon masses and $\sigma$-terms
• A new method of measuring electric dipole moments in storage rings
• Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory
• Chiral Effective Lagrangian in the large-Nc limit: the nonet case
• Bounds on the light quark masses
• Nucleon Masses and Magnetic Moments in a Finite Volume
• New insights into the neutron electric dipole moment
• The Effective Chiral Lagrangian From the Theta Term
• Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions
• The Electric Dipole Form Factor of the Nucleon in Chiral Perturbation Theory to Sub-leading Order
• The electric dipole moment of the neutron in chiral perturbation theory
• eta-eta' mixing from U_L(3) x U_R(3) Chiral Perturbation Theory
• The electric dipole moment of the deuteron from the QCD $\theta$-term
• Full QCD calculation of neutron electric dipole moment with the external electric field method
• Neutron electric dipole moment with external electric field method in lattice QCD
• The electric dipole form factor of the nucleon
• Universality of Mixed Action Extrapolation Formulae
• A Fresh Look into the Neutron EDM and Magnetic Susceptibility
• Discrete Symmetries on the Light Front and a General Relation Connecting Nucleon Electric Dipole and Anomalous Magnetic Moments
• Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory
• The electric dipole moment of the nucleon from simulations at imaginary vacuum angle theta
• Precursor Experiments to Search for Permanent Electric Dipole Moments (EDMs) of Protons and Deuterons at COSY
• Extrapolation Formulas for Neutron EDM Calculations in Lattice QCD
• Electromagnetic Contributions to the Schiff Moment
• External Momentum, Volume Effects, and the Nucleon Magnetic Moment
• A Storage Ring proton Electric Dipole Moment experiment: most sensitive experiment to CP-violation beyond the Standard Model
• Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields
• Finite volume corrections to the electromagnetic current of the nucleon
• Neutron electric dipole moment from lattice QCD
• Neutron Electric Dipole Moment at Fixed Topology

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• QCD and strongly coupled gauge theories: challenges and perspectives
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
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• 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
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• Renormalization Group Running of Dimension-Six Sources of Parity and Time-Reversal Violation
• The Effective Chiral Lagrangian From Dimension-Six Parity and Time-Reversal Violation
• Confirming the Existence of the strong CP Problem in Lattice QCD with the Gradient Flow
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• The electric dipole moment of the neutron from 2+1 flavor lattice QCD
• Strong P invariance, neutron EDM and minimal Left-Right parity at LHC
• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Baryon mass splittings and strong CP violation in SU(3) Chiral Perturbation Theory
• On Lattice Calculation of Electric Dipole Moments and Form Factors of the Nucleon
• The electric dipole moment of the deuteron from the QCD $\theta$-term
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• Kaon CP violation and neutron EDM in the minimal left-right symmetric model
• On the search for the electric dipole moment of strange and charm baryons at LHC
• Review of the electric dipole moment of light nuclei
• Measurement of Permanent Electric Dipole Moments of Charged Hadrons in Storage Rings
• Nucleon Electric Dipole Moments and the Isovector Parity- and Time-Reversal-Odd Pion-Nucleon Coupling
• Violations of discrete space-time symmetries in chiral effective field theory
• Neutron Electric Dipole Moment Induced by the Strangeness Revisited
• Neutron electric dipole moment using $N_f=2+1+1$ twisted mass fermions
• The nucleon electric dipole moment with the gradient flow: the $\theta$-term contribution
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Neutron electric dipole moment using lattice QCD simulations at the physical point
• Neutron and proton electric dipole moments from $N_f=2+1$ domain-wall fermion lattice QCD
• Linear programming analysis of the $R$-parity violation within EDM-constraints
• Theta dependence in Holographic QCD
• ${\epsilon }^{\prime }/\epsilon$ Anomaly and Neutron EDM in $SU(2{)}_L\times SU(2{)}_R\times U(1{)}_{B-L}$ model with Charge Symmetry
• Limits on $CP$-violating hadronic interactions and proton EDM from paramagnetic molecules
• Strong CP violation in nuclear physics
• Finite-volume corrections to the CP-odd nucleon matrix elements of the electromagnetic current from the QCD vacuum angle
• Permanent Electric Dipole Moments of Single-, Two-, and Three-Nucleon Systems
• Probing hyperon electric dipole moments with a full angular analysis
• Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group
• Strong CP violation in spin-1/2 singly charmed baryons
• Constraining P and CP violation in the main decay of the neutral Sigma hyperon
• Absence of strong CP violation
• Estimation of CP violating EDMs from known mechanisms in the SM
• ALP contribution to the Strong CP problem
• Nuclear EDM from SMEFT flavor-changing operator
• Axion Window on New Macroscopic Forces