Hadronic Parity-Violation on the Lattice

Abstract

We motivate lattice QCD studies of the parity-violating pion-nucleon coupling constant and extend flavor-conserving hadronic parity-violation from QCD to partially-quenched QCD. The parity-violating pion-nucleon coupling and the anapole form factor (and moment) of the proton are computed to one-loop order in the partially-quenched chiral expansion. For the parity-violating pion-nucleon interaction, we include the contributions from total derivative operators necessary to match the kinematics that will be used in lattice simulations.

15 pages LaTeX, 4 eps figs

References in corpus (9)

• Partially quenched chiral perturbation theory without ${\Phi }_0$
• Atomic Parity Nonconservation and Nuclear Anapole Moments
• Effects of Quenching and Partial Quenching on Penguin Matrix Elements
• The Magnetic Moments of the Octet Baryons in Quenched Chiral Perturbation Theory
• Parity Violation in Low-Energy np->d gamma and the Deuteron Anapole Moment
• Asymmetry in $\vec{n}+p->d+\gamma$
• Parity-Violating Pion-Nucleon Coupling h_{πNN}^{(1)} from π^+ Electroproton Production Near the Threshold
• Physical Results from Partially Quenched Simulation
• $K\to \pi \pi$ matrix elements beyond the leading-order chiral expansion

Cited by in corpus (21)

• Exploring Hyperons and Hypernuclei with Lattice QCD
• Nucleon Masses and Magnetic Moments in a Finite Volume
• Hadronic Parity Violation: a New View through the Looking Glass
• Experiments in Fundamental Neutron Physics
• Hadronic Parity Violation
• Lattice QCD Calculation of Nuclear Parity Violation
• The Theory of Parity Violation in Few-Nucleon Systems
• Nucleons Properties at Finite Lattice Spacing in Chiral Perturbation Theory
• Universality of Mixed Action Extrapolation Formulae
• A New Paradigm for Hadronic Parity Nonconservation and its Experimental Implications
• The Chiral Extrapolation of Strange Matrix Elements in the Nucleon
• Hadronic Parity Violation at Next-to-Leading Order
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Parity-Violating Three Nucleon Interactions at Low Energies and Large-$N_C$
• Experimental Upper Bound and Theoretical Expectations for Parity-Violating Neutron Spin Rotation in 4He
• Novel Soft-Pion Theorem for Long-Range Nuclear Parity Violation
• Precision neutron interferometric measurements of the n-p, n-d, and n-3He zero-energy coherent neutron scattering amplitudes
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
• Baryons in Partially-Quenched Chiral Perturbation Theory
• Strangeness-Conserving Hadronic Parity Violation at Low Energies
• Future Directions in Parity Violation: From Quarks to the Cosmos