Axion-like Particles and Lepton Flavor Violation in Muonic Atoms

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Autori principali: Kumar, Girish, Petrov, Alexey A.
Natura: Preprint
Pubblicazione: 2026
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author Kumar, Girish
Petrov, Alexey A.
author_facet Kumar, Girish
Petrov, Alexey A.
contents We explore the potential of the Mu2e experiment to probe the lepton-flavor-violating process $μ^- e^- \to e^- e^-$ in a muonic atom within a simplified axion-like particle (ALP) framework featuring flavor-violating $e$-$μ$ couplings and a flavor-diagonal pseudoscalar coupling to electrons, which also allows for possible invisible ALP decays into a dark sector. We compute the ALP-mediated contribution to the transition rate and show that, at fixed couplings, the branching ratio increases for lighter mediators and scales as $(Z-1)^3$, favoring heavier nuclei. We compare the model against constraints from $μ\to eγ$, $μ\to 3e$, $μ\to eγγ$, $μ\to e+\mathrm{inv}$, and muonium-antimuonium conversion, as well as from the anomalous magnetic moments of the electron and muon. Additional astrophysical and beam-dump limits on the electron coupling are also discussed. A key result is that $Δa_e$ provides one of the most stringent probes of the parameter space and, in the global scan, excludes the largest fraction of sampled points. After applying the laboratory constraints used in the scan, the viable branching ratio for $μ^- e^- \to e^- e^-$ in aluminum drops to at most $\mathcal{O}(10^{-20})$, while the resonant region $2m_e<m_a<m_μ-m_e$ is much more heavily suppressed. The highest achievable values are closely tied to $\mathcal{B}(μ\to 3e)$ near its current limit, indicating that the upcoming Mu3e experiment will explore the most promising region relevant for this muonic-atom signal. Our analysis shows that, although a light ALP can parametrically enhance $μ^- e^- \to e^- e^-$ at fixed couplings, existing bounds -- especially $Δa_e$, $μ\to 3e$, $μ\to eγ$, and muonium oscillations -- severely limit the observable rate.
format Preprint
id arxiv_https___arxiv_org_abs_2604_07481
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Axion-like Particles and Lepton Flavor Violation in Muonic Atoms
Kumar, Girish
Petrov, Alexey A.
High Energy Physics - Phenomenology
High Energy Physics - Experiment
We explore the potential of the Mu2e experiment to probe the lepton-flavor-violating process $μ^- e^- \to e^- e^-$ in a muonic atom within a simplified axion-like particle (ALP) framework featuring flavor-violating $e$-$μ$ couplings and a flavor-diagonal pseudoscalar coupling to electrons, which also allows for possible invisible ALP decays into a dark sector. We compute the ALP-mediated contribution to the transition rate and show that, at fixed couplings, the branching ratio increases for lighter mediators and scales as $(Z-1)^3$, favoring heavier nuclei. We compare the model against constraints from $μ\to eγ$, $μ\to 3e$, $μ\to eγγ$, $μ\to e+\mathrm{inv}$, and muonium-antimuonium conversion, as well as from the anomalous magnetic moments of the electron and muon. Additional astrophysical and beam-dump limits on the electron coupling are also discussed. A key result is that $Δa_e$ provides one of the most stringent probes of the parameter space and, in the global scan, excludes the largest fraction of sampled points. After applying the laboratory constraints used in the scan, the viable branching ratio for $μ^- e^- \to e^- e^-$ in aluminum drops to at most $\mathcal{O}(10^{-20})$, while the resonant region $2m_e<m_a<m_μ-m_e$ is much more heavily suppressed. The highest achievable values are closely tied to $\mathcal{B}(μ\to 3e)$ near its current limit, indicating that the upcoming Mu3e experiment will explore the most promising region relevant for this muonic-atom signal. Our analysis shows that, although a light ALP can parametrically enhance $μ^- e^- \to e^- e^-$ at fixed couplings, existing bounds -- especially $Δa_e$, $μ\to 3e$, $μ\to eγ$, and muonium oscillations -- severely limit the observable rate.
title Axion-like Particles and Lepton Flavor Violation in Muonic Atoms
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2604.07481