Two-loop contributions of axion-like particles to electromagnetic and chromomagnetic form factors

Abstract

Axions and axion-like particles emerge in many models for physics beyond the Standard Model. Thus, they have gained increasing research interest in both experimental and theoretical physics apart from their original proposition as a solution to the strong $CP$-problem. Among other aspects it has recently been shown that ALPs can potentially provide a solution to the long-lasting discrepancy between theory and experiment of the anomalous magnetic moment of the muon. Provided that the ALP has flavor-violating couplings to leptons, they can also mediate flavor-violating decays like $\mu \to e\gamma$. Both processes are mediated through related form factors that we compute to two-loop order. We further show numerical implications of our calculations and how they might affect constraints on ALP couplings derived from experiments.

25 pages, 11 figures; v2: matches published version

References in corpus (14)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Collider Probes of Axion-Like Particles
• Flaxion: a minimal extension to solve puzzles in the standard model
• The Low-Energy Effective Theory of Axions and ALPs
• Contributions of axion-like particles to lepton dipole moments
• Running in the ALPs
• Consistent treatment of axions in the weak chiral Lagrangian
• Minimal Flavor Violation with Axion-like Particles
• Challenges for an axion explanation of the muon $g-2$ measurement
• Lepton-flavor violating axions at MEG II
• An invisible axion model with controlled FCNCs at tree level
• Audible Axions with a Booster: Stochastic Gravitational Waves from Rotating ALPs

Cited by in corpus (1)

• The Muon Magnetic Moment and Physics Beyond the Standard Model