Abstract
We discuss the construction of the chiral Lagrangian for a light spin-1 boson, here denoted as X, featuring both vector and axial-vector couplings to light u, d, s quarks. Focusing on ∆S = 1 transitions, we show that there are model-independent tree-level contributions to K± → π±X, sourced by Standard Model charged currents, which receive an \( {m}_K^2/{m}_X^2 \) enhancement from the emission of a longitudinally polarized X. This flavour observable sets the strongest to date model-independent bound on the diagonal axial-vector couplings of X to u, d, s quarks for mX < mK – mπ, superseding the bounds arising from beam-dump and collider searches.
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Acknowledgments
This work received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement N° 860881 and by the INFN Iniziative Specifica APINE. The work of LDL is also 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. et al. Flavour constraints on light spin-1 bosons within a chiral Lagrangian approach. J. High Energ. Phys. 2023, 16 (2023). https://doi.org/10.1007/JHEP12(2023)016
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DOI: https://doi.org/10.1007/JHEP12(2023)016