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 $\hpi$, the measured value of $\hpi$, and the corresponding quantity calculated microscopically from the Standard Model four-quark PV interaction.

RevTex, 26 pages + 5 PS figures

References in corpus (4)

• The Nucleon Anapole Moment and Parity-Violating ep Scattering
• Incorporating Chiral Symmetry in Extrapolations of Octet Baryon Magnetic Moments
• Baryon Octet magnetic moments in $\chi$PT: More on the importance of the Decuplet
• Chiral Corrections to Baryon Masses Calculated within Lattice QCD

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• Hadronic Parity-Violation on the Lattice
• Electroweak Radiative Corrections to Parity-Violating Electroexcitation of the $\Delta$
• A study of the parity-odd nucleon-nucleon potential
• Subleading corrections to parity violating pion photoproduction
• Hadronic Parity Violation at Next-to-Leading Order
• Large $N_c$ Expansion and the Parity Violating $\pi ,N,\Delta$ Couplings
• The Δcontribution to the parity-violating nucleon-nucleon force
• Novel Soft-Pion Theorem for Long-Range Nuclear Parity Violation
• Parity violation in nuclear systems
• Future Directions in Parity Violation: From Quarks to the Cosmos