Abstract
Axion-like particles which couple to photons can induce small nonlinearities in electromagnetism, leading to light-by-light scattering. We will describe a proposed experiment at the SQMS National Quantum Center at Fermilab to detect this process, using a high-Q superconducting radiofrequency (SRF) cavity. When the cavity is pumped with two resonant modes ω<sub>1</sub> and ω<sub>2</sub>, the axion-induced nonlinearity will source a small signal at ωs = 2ω<sub>1</sub> − ω<sub>2</sub>, which may be detected if ω<sub>s</sub> is also a resonant frequency of the cavity. An experiment sensitive enough to set world-leading limits on axions may also be sensitive to the nonlinearity already present in quantum electrodynamics (QED) as encapsulated by the Euler-Heisenberg Lagrangian, which has never been probed at energies below the electron mass.
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