The Effective Chiral Lagrangian From Dimension-Six Parity and Time-Reversal Violation

Abstract

We classify the parity- and time-reversal-violating operators involving quark and gluon fields that have effective dimension six: the quark electric dipole moment, the quark and gluon chromo-electric dipole moments, and four four-quark operators. We construct the effective chiral Lagrangian with hadronic and electromagnetic interactions that originate from them, which serves as the basis for calculations of low-energy observables. The form of the effective interactions depends on the chiral properties of these operators. We develop a power-counting scheme and calculate within this scheme, as an example, the parity- and time-reversal-violating pion-nucleon form factor. We also discuss the electric dipole moments of the nucleon and light nuclei.

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References in corpus (19)

• Chiral effective field theory and nuclear forces
• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Improved limit on the permanent electric dipole moment of 199Hg
• Low Energy Precision Test of Supersymmetry
• Renormalization Group Running of Dimension-Six Sources of Parity and Time-Reversal Violation
• Nucleon mass and sigma term from lattice QCD with two light fermion flavors
• Resonance method of electric-dipole-moment measurements in storage rings
• Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
• 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
• Baryon electric dipole moments from strong CP violation
• The electric dipole moment of the deuteron from the QCD $\theta$-term
• Plans for a Neutron EDM Experiment at SNS
• Bounding the top and bottom electric dipole moments from neutron experimental data
• Nuclear Electric Dipole Moment of 3He
• Nuclear electric dipole moment of three-body system
• A Fresh Look into the Neutron EDM and Magnetic Susceptibility
• Deuteron Magnetic Quadrupole Moment From Chiral Effective Field Theory
• An Improved Neutron Electric Dipole Moment Experiment

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