High order chiral Lagrangians with vector mesons in different approaches

TL;DR

This paper constructs high-order chiral Lagrangians with vector mesons across various theoretical approaches, clarifying their relations and redundancies at different orders in effective field theories.

Contribution

It systematically compares different approaches to chiral Lagrangians with vector mesons, identifying redundancies and establishing relations between low-energy constants at higher orders.

Findings

Redundant terms identified at next-to-leading order in tensor-field and hidden local symmetry approaches.

Relations between low-energy constants in different approaches derived at tree level.

Discussion of the equivalence between tensor-field and hidden local symmetry approaches.

Abstract

The chiral Lagrangians with vector mesons are constructed in different approaches, including the next-to-leading order Lagrangian in the vector-field approach, the next-to-next-to-leading order Lagrangians in the tensor-field and the hidden local symmetry approaches. Some redundant terms are found at the next-to-leading order in the tensor-field and the hidden local symmetry approaches. The corresponding relations between the next-to-next-to-leading order pseudoscalar mesonic low-energy constants and the ones in the hidden local symmetry approach are obtained at tree level. The equivalence between the tensor-field approach and the hidden local symmetry approach is also discussed.