A chiral effective field theory study of hadronic parity violation in few-nucleon systems

Understand

We reconsider the derivation of the nucleon-nucleon parity-violating (PV) potential within a chiral effective field theory framework.

• We construct the potential up to next-to-next-to-leading order by including one-pion-exchange, two-pion-exchange, contact, and 1/M (M being the nucleon mass) terms, and use dimensional regularization to renormalize the pion-loop corrections.
• A detailed analysis of the number of independent low-energy constants (LEC's) entering the potential is carried out.
• We find that it depends on six LEC's: the pion-nucleon PV coupling constant $h^1_\pi$ and five parameters multiplying contact interactions.