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In this mini-review, possible manifestations of mixing between axion-likeparticles (ALPs) and energetic photons propagating over astronomical distancesare considered. We discuss the evidence for the anomalous transparency of theUniverse from observations of ensembles of distant gamma-ray sources, presentthe general formalism for the ALP-photon mixing and explain how this mechanismmay remove the anomaly. We present relevant values of ALP parameters anddiscuss future ways to verify the scenario and to discover the particle inquestion.

Axion-like particles and the propagation of gamma rays over astronomical distances