Effective Field Theory Description of Light Dilaton

TL;DR

This paper develops a comprehensive effective field theory framework for light dilatons, connecting high-energy conformal sectors to low-energy phenomenology, and analyzes their potential signals across different mass regimes.

Contribution

It introduces a systematic, scale-invariant EFT for dilatons, unifying their description from ultraviolet to infrared scales and providing a basis for phenomenological studies.

Findings

Constraints from LHC, meson decays, and supernova cooling for MeV-scale dilatons.

Projected sensitivities for atomic clocks and interferometers for ultralight dilatons.

Unified EFT framework enabling broad phenomenological exploration.

Abstract

Dilatons, the CP-even pseudo-Nambu-Goldstone bosons arising from spontaneous scale symmetry breaking, offer a compelling alternative to axion-like particles (ALPs) yet lack a comprehensive low-energy framework. We address this by constructing a systematic effective field theory (EFT) for the dilaton based on a manifestly scale-invariant regularization scheme. This approach derives universal linear couplings to the trace anomaly while preserving consistent renormalization group evolution. We establish a hierarchical EFT tower connecting the ultraviolet conformal sector to the infrared, encompassing the dilaton-extended SMEFT, low-energy EFT up to dimension-7, and a chiral Lagrangian describing meson and baryon interactions. We perform a comprehensive phenomenological analysis across two distinct mass regimes, where dilaton manifests as either conventional particle or wave-like particle. For MeV-scale dilatons behaving as conventional particles, we obtain constraints from LHC production, semi-invisible $B$- and $K$-meson decays, and supernova cooling. For ultralight dilatons acting as dark matter, we project sensitivities for atomic clocks and atom interferometers. This unified EFT framework would pave the way for extended phenomenological studies across the full mass spectrum of the light dilaton.