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We compute the QCD axion contribution to the energy density of dark radiation, parameterized by $\Delta N_{\rm eff}$, by solving Boltzmann equations for the momentum distribution functions including the effects of quantum statistics for all particles involved in the axion production processes.
1906
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A. R. Zhitnitsky, On Possible Suppression of the Axion Hadron Interactions. (In Russian) , Sov. J. Nucl. Phys. 31
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S. Hannestad, A. Mirizzi and G. Raffelt, New cosmological mass limit on thermal relic axions , JCAP 07
2005
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2006
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J. Lesgourgues and S. Pastor, Massive neutrinos and cosmology , Phys. Rept. 429
2006
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2010
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2010
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2012
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2021
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F. D’Eramo, F. Hajkarim and S. Yun, Thermal QCD Axions across Thresholds , JHEP 10
2021
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2021
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2022
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2012
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A. Salvio, A. Strumia and W. Xue, Thermal axion production , JCAP 01
2014
Cited alongside, same era.
G. Grilli di Cortona, E. Hardy, J. Pardo Vega and G. Villadoro, The QCD axion, precisely , JHEP 01
2016
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2016
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2017
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2017
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2017
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2018
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2022
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2022
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D. Green, Y. Guo and B. Wallisch, Cosmological implications of axion-matter couplings , JCAP 02
2022
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F. D’Eramo and S. Yun, Flavor violating axions in the early Universe , Phys. Rev. D 105
2022
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2022
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2022
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2022
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M. Badziak and K. Harigaya, Naturally astrophobic QCD axion , JHEP 06
2023
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2023
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2024
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D. I. Dunsky, L. J. Hall and K. Harigaya, Dark Radiation Constraints on Heavy QCD Axions , JHEP 04
2024
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2024
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2024
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