Extending Chiral Perturbation Theory with an Isosinglet Scalar

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.

18 pages, 2 figures, accepted version for Physical Review D

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Cited by in corpus (7)

• Physics of the Non-Abelian Coulomb Phase: Insights from Padé Approximants
• A light dilaton in a metastable vacuum
• The $\epsilon$-regime of dilaton chiral perturbation theory
• Examining the Low Energy Dynamics of Walking Gauge Theory
• Tantalizing dilaton tests from a near-conformal EFT
• Beyond the Standard Model: Charting Fundamental Interactions via Lattice Simulations
• The reactions $\pi \pi \to \pi \pi$ and $\gamma \gamma \to \pi \pi$ in $\chi$PT with an isosinglet scalar resonance