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 \( \mathcal{O} \)(p2) 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.
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Acknowledgments
We thank Gioacchino Piazza for useful comments on the manuscript. This work received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement n. 101086085 – ASYMMETRY and by the INFN Iniziative Specifica APINE. The work of LDL and PP is supported by the European Union – Next Generation EU and by the Italian Ministry of University and Research (MUR) via the PRIN 2022 project n. 2022K4B58X – AxionOrigins. The work of LDL is funded by the European Union – NextGenerationEU and by the University of Padua under the 2021 STARS Grants@Unipd programme (Acronym and title of the project: CPV-Axion – Discovering the CP-violating axion).
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Di Luzio, L., Levati, G. & Paradisi, P. The chiral Lagrangian of CP-violating axion-like particles. J. High Energ. Phys. 2024, 20 (2024). https://doi.org/10.1007/JHEP02(2024)020
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DOI: https://doi.org/10.1007/JHEP02(2024)020