Extending Chiral Perturbation Theory with an Isosinglet Scalar

TL;DR

This paper extends chiral perturbation theory by including an isosinglet scalar, calculating one-loop corrections to key meson properties, relevant for phenomenology and lattice studies.

Contribution

It introduces an augmented chiral Lagrangian with an isosinglet scalar and computes one-loop corrections for various symmetry breaking patterns.

Findings

Derived one-loop corrections to pion and scalar masses.

Unified framework covering dilaton and linear sigma model limits.

Results applicable to phenomenology and lattice QCD investigations.

Abstract

We augment the chiral Lagrangian by an isosinglet scalar and compute the one-loop radiative corrections to the pion mass and decay constant, as well as the scalar mass. The calculations are carried out for different patterns of chiral symmetry breaking of immediate relevance for phenomenology and lattice investigations. By construction our results encompass several interesting limits, ranging from the dilaton to the linear sigma model.