“…ALPs can very strongly excite gauge-field quanta through such Chern-Simons coupling. For example, in axion inflation scenarios, where the ALP is identified with the inflaton, the gauge field can be highly excited during inflation, leading to a rich phenomenology that includes: the production of a sizable background of chiral gravitational waves [212][213][214][215][216][217], which can be searched for with direct detection gravitational wave experiments [218][219][220][221]; the creation of large scalar perturbations [197,213,218,[222][223][224][225], which can be probed by the CMB [212,222,226] and searches for primordial black holes (PBHs) [197,[227][228][229][230][231][232][233][234]; efficient magnetogenesis [139,[235][236][237], baryon asymmetry [238][239][240][241][242][243] and reheating [198,244] mechanisms, which can also be naturally realized in these scenarios. Furthermore, due to interaction, equation ( 50), a dark matter ALP can als...…”