Hadronic parity violation on the lattice Original Research Article

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.