“…where gaγ is the coupling constant, a is the ALP field, Fµν is the electromagnetic tensor, and Fµν is its dual. The mass ma and the coupling gaγ of heavy ALPs with ma > ∼ 10 keV have been explored by beam dump experiments (Jaeckel & Spannowsky 2016;Dolan et al 2017;Döbrich, Jaeckel, & Spadaro 2019;Banerjee et al 2020) and astronomical objects including globular clusters (Carenza et al 2020), white dwarfs (Dolan, Hiskens, & Volkas 2021), and the neutrino signal (Lee 2018;Lucente et al 2020) and γrays (Giannotti, Duffy, & Nita 2011;Jaeckel, Malta, & Redondo 2018) from SN 1987A. Also, implications of heavy ALPs on cosmological phenomena including Big Bang nucleosynthesis and the cosmic microwave background have been discussed (Cadamuro et al 2011;Depta, Hufnagel, & Schmidt-Hoberg 2020).…”