Hadronic Parity-Violation on the Lattice
Silas R. Beane, Martin J. Savage
TL;DR
This paper explores lattice QCD calculations of hadronic parity-violation, focusing on the parity-violating pion-nucleon coupling and proton anapole form factor, extending methods to partially-quenched QCD and including necessary operator contributions.
Contribution
It extends the theoretical framework for lattice QCD studies of hadronic parity-violation to partially-quenched QCD and computes relevant couplings and form factors to one-loop order.
Findings
Computed parity-violating pion-nucleon coupling to one-loop order.
Extended flavor-conserving hadronic parity-violation to partially-quenched QCD.
Included total derivative operators for lattice simulation kinematics.
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.
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