Analytic study of dark photon and gravitational wave production from axion

Abstract

Axion-like fields heavier than about $10^{-27}$eV are expected to oscillate in the radiation dominated epoch when the Hubble parameter drops below their mass. Considering the Chern-Simons coupling with a dark gauge boson, large amount of dark photons are produced during a short time interval through tachyonic resonance instability. The produced dark photons then source gravitational tensor modes leading to chiral gravitational waves. Through this process, one can indirectly probe a large parameter space of coupled axion-dark photon models. In this work we first find an analytic expression for the number density of the dark photons produced during the tachyonic resonance regime. Second, by using the saddle point approximation we find an analytic expression for the gravitational wave spectrum in terms of the mass, coupling and misalignment angle. Our analytic results can be used for the observational analysis of these types of scenarios.

arXiv comment29+15 pages, 10 figures, presentation is improved, comparison with numerical results are added, matches with the published version

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Cited by in corpus (13)

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• Gravitational wave background from non-Abelian reheating after axion-like inflation
• Gravitational waves induced by scalar-tensor mixing
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• Detectability of the chiral gravitational wave background from audible axions with the LISA-Taiji network
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