Relic density axion9/1/2023 The increase of a factor of few on the upper bound of F a mainly comes from the currently used smaller current quark masses compared to the previous ones, and the overshoot of the adiabatic invariant √ I from the initial misalignment angle θ 1. From the WMAP five year data Komatsu:2008hk, Ω D M h 2 ≃ 0.1143 ± 0.0034, we obtain the bound F a ≤ 10 12 G e V for θ 1 ∼ O ( 1 ). 9, the yellow band shows the error bars of Λ and two red lines are the allowed limits of the current quark masses, Z. From this result, we can determine the cosmological bound on the axion decay constant F a which is presented in Fig.
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