Chiral Symmetry and the Parity-Violating $NN\pi$ Yukawa Coupling

Abstract

We construct the complete SU(2) parity-violating (PV) $\pi ,N,\Delta$ interaction Lagrangian with one derivative, and calculate the chiral corrections to the PV Yukawa $NN\pi$ coupling constant $h_{\pi }$ through $\mathcal{O}(1/{\Lambda }_{\chi }^3)$ in the leading order of heavy baryon expansion. We discuss the relationship between the renormalized $\text{hpi}$, the measured value of $\text{hpi}$, and the corresponding quantity calculated microscopically from the Standard Model four-quark PV interaction.

Comments: RevTex, 26 pages + 5 PS figures