The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory

Abstract

We derive the parity- and time-reversal-violating nuclear interactions stemming from the QCD theta term and quark/gluon operators of effective dimension 6: quark electric dipole moments, quark and gluon chromo-electric dipole moments, and two four-quark operators. We work in the framework of two-flavor chiral perturbation theory, where a systematic expansion is possible. The different chiral-transformation properties of the sources of time-reversal violation lead to different hadronic interactions. For all sources considered the leading-order potential involves known one-pion exchange, but its specific form and the relative importance of short-range interactions depend on the source. For the theta term, the leading potential is solely given by one-pion exchange, which does not contribute to the deuteron electric dipole moment. In subleading order, a new two-pion-exchange potential is obtained. Its short-range component is indistinguishable from one of two undetermined contact interactions that appear at the same order and represent effects of heavier mesons and other short-range QCD dynamics. One-pion-exchange corrections at this order are discussed as well.

39 pages, 8 figures

References in corpus (31)

• Dimension-Six Terms in the Standard Model Lagrangian
• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Improved limit on the permanent electric dipole moment of 199Hg
• CP Violation and Neutrino Oscillations
• Low Energy Precision Test of Supersymmetry
• Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
• Renormalization of Singular Potentials and Power Counting
• Experiments in Fundamental Neutron Physics
• An effective-field-theory analysis of low-energy parity-violation in nucleon-nucleon scattering
• On a redundancy in the parity-violating 2-nucleon contact Lagrangian
• The Nucleon Electric Dipole Form Factor From Dimension-Six Time-Reversal Violation
• The Electric Dipole Form Factor of the Nucleon in Chiral Perturbation Theory to Sub-leading Order
• Deconstructing triplet nucleon-nucleon scattering
• Plans for a Neutron EDM Experiment at SNS
• Full QCD calculation of neutron electric dipole moment with the external electric field method
• Parity-Violating Observables of Two-Nucleon Systems in Effective Field Theory
• Parity- and Time-Reversal-Violating Form Factors of the Deuteron
• Nuclear Electric Dipole Moment of 3He
• CP violation and the CKM matrix
• A Fresh Look into the Neutron EDM and Magnetic Susceptibility
• On Parity-Violating Three-Nucleon Interactions and the Predictive Power of Few-Nucleon EFT at Very Low Energies
• The parity-violating asymmetry in the 3He(n,p)3H reaction
• Hadronic parity violation in $\vec{n}p\to d\gamma$ with effective field theory
• Parity-violating two-pion exchange nucleon-nucleon interaction
• Parity-violating nucleon-nucleon interaction from different approaches
• Time Reversal Invariance Violation in Neutron Deuteron Scattering
• Time-Reversal Violation in Threshold $\vec{n}$ $\vec{p}$ Scattering
• Pion-photon exchange nucleon-nucleon potentials
• An Improved Neutron Electric Dipole Moment Experiment
• Two-pion-exchange parity-violating potential and $\vec{n}p\to d\gamma$
• Parity nonconserving two-pion exchange in elastic proton-proton scattering

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• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Electric Dipole Moments of Light Nuclei From Chiral Effective Field Theory
• Towards grounding nuclear physics in QCD
• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
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• Baryon mass splittings and strong CP violation in SU(3) Chiral Perturbation Theory
• Correlating Schiff moments in the light actinides with octupole moments
• The electric dipole moment of the deuteron from the QCD $\theta$-term
• Review of the electric dipole moment of light nuclei
• Violations of discrete space-time symmetries in chiral effective field theory
• Parity- and time-reversal-violating nuclear forces
• Nuclear electric dipole moment of three-body system
• Lattice QCD spectroscopy for hadronic CP violation
• Time-reversal-invariance-violating nucleon-nucleon potential in the 1/N_c expansion
• Deuteron Magnetic Quadrupole Moment From Chiral Effective Field Theory
• Time Reversal Violation in Light Nuclei
• Strong CP violation in nuclear physics
• Parity- and Time Reversal-Violating Pion Nucleon Couplings: Higher Order Chiral Matching Relations
• $C$ and $CP$ violation in effective field theories
• Nuclear Schiff Moments and CP Violation
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Screening of Nucleon Electric Dipole Moments in Nuclei
• Laser spectroscopy and CP-violation sensitivity of actinium monofluoride
• Lattice QCD and the Neutron Electric Dipole Moment
• Electric dipole moments of three-nucleon systems in the pionless effective field theory
• Electric dipole moments: a theory overview
• Electric Dipole Moments of Light Nuclei from Chiral EFT
• Parity- and Time-Reversal-Violating Moments of Light Nuclei