Chiral effective Lagrangian for doubly charmed baryons up to $\mathcal{O}(q^4)$

TL;DR

This paper constructs a detailed chiral effective Lagrangian for doubly charmed baryons interacting with Goldstone bosons up to fourth order, enabling future studies of their chiral dynamics and phenomenology.

Contribution

It provides the first comprehensive construction of the chiral Lagrangian for doubly charmed baryons up to order $q^4$, including the enumeration of independent invariant monomials.

Findings

Lagrangian constructed up to $oldsymbol{q^4}$ order

Number of invariant monomials: 8, 32, 218 at each order

Facilitates future one-loop chiral dynamics studies

Abstract

The chiral effective meson-baryon Lagrangian for the description of interactions between the doubly charmed baryons and Goldstone bosons is constructed up to the order of $q^{4}$. The numbers of linearly independent invariant monomials of $\mathcal{O}(q^2)$, $\mathcal{O}(q^3)$ and $\mathcal{O}(q^4)$ are 8, 32 and 218, in order. The obtained Lagrangian can be used to study the chiral dynamics and relevant phenomenology of the doubly charmed baryons at complete one-loop level in future. For completeness, the non-relativistic reduction of the Lagrangian is also discussed.