Chiral Lagrangians with $\Delta (1232)$ to one loop

Shao-Zhou Jiang, Yan-Rui Liu, Hong-Qian Wang

We construct the Lorentz-invariant chiral Lagrangians up to the order $\mathcal{O}(p^4)$ by including $\Delta (1232)$ as an explicit degree of freedom. A full one-loop investigation on p…