Abstract

Parity-violating (PV) interactions among quarks in the nucleon induce a PV $\ensuremath{\gamma}\mathrm{NN}$ coupling, or anapole moment (AM). We compute electroweak gauge-independent contributions to the AM through $\mathcal{O}(1/{\ensuremath{\Lambda}}_{\ensuremath{\chi}}^{2})$ in chiral perturbation theory. We estimate short-distance PV effects using resonance saturation. The AM contributions to PV electron-proton scattering slightly enhance the axial vector radiative corrections, ${R}_{A}^{p},$ over the scale implied by the standard model when weak quark-quark interactions are neglected. We estimate the theoretical uncertainty associated with the AM contributions to ${R}_{A}^{p}$ to be large, and discuss the implications for the interpretation PV of $\mathrm{ep}$ scattering.

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