The Chiral Lagrangian of CP-Violating Axion-Like Particles

Abstract

We discuss the construction of the most general CP-violating chiral Lagrangian for an axion-like particle (ALP). Starting with an effective Lagrangian containing light quarks and gluons, we provide its matching onto a chiral effective Lagrangian at $\mathcal{O}(p^2)$ described in terms of mesons and baryons, identifying the correspondence between the Jarlskog invariants of the two theories. After deriving the ALP interactions with mesons and baryons, we analyse a few relevant phenomenological implications such as the permanent electric dipole moments of nucleons and the CP-violating ALP and kaon decays.This work provides the necessary tools for further phenomenological analyses connecting low-energy observables with the couplings of the underlying ultraviolet complete theory.

arXiv comment28 pages, 1 figure, 3 tables. FeynRules models for both the 2-flavours and the 3-flavours case are provided in the ancillary files

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• Anomalous Dimension of a General Effective Gauge Theory I: Bosonic Sector
• Renormalization of effective field theories via on-shell methods: the case of axion-like particles
• Constraining CP violating nucleon-nucleon long range interactions in diatomic eEDM searches
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• Scalarful double beta decay
• Axion Window on New Macroscopic Forces
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• Searching for exotic scalars at fusion reactors
• Probing leptophobic dark sector with a pseudoscalar portal in the NA64 experiment at CERN