Breakdown of Chiral Perturbation Theory for the Axion Hot Dark Matter Bound,Physical Review Letters

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Breakdown of Chiral Perturbation Theory for the Axion Hot Dark Matter Bound
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-06-17 , DOI: 10.1103/physrevlett.126.241801
Luca Di Luzio _{1,

2,

3} , Guido Martinelli ₄ , Gioacchino Piazza ₅

Affiliation

We show that the commonly adopted hot dark matter bound on the axion mass

m_{a} ≲ 1 eV

is not reliable, since it is obtained by extrapolating the chiral expansion in a region where the effective field theory breaks down. This is explicitly shown via the calculation of the axion-pion thermalization rate at the next-to-leading order in chiral perturbation theory. We finally advocate a strategy for a sound extraction of the axion hot dark matter bound via lattice QCD techniques.

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