We consider a renormalizable theory, which successfully explains the number of Standard Model(SM) fermion families and whose non-SM scalar sector includes an axion dark matter as well asa field responsible for cosmological inflation. In such theory, the axion gets its mass via radiativecorrections at one-loop level mediated by virtual top quark, right handed Majorana neutrinos andSM gauge bosons. Its mass is obtained in the range 4 keV÷ 40 keV, consistent with the onepredicted by XENON1T experiment, when the right handed Majorana neutrino mass is varied from100 GeV up to 350 GeV, thus implying that the light active neutrino masses are generated from a lowscale type I seesaw mechanism. Furthermore, the theory under consideration can also successfullyaccommodates the XENON1T excess provided that the PQ symmetry is spontaneously broken atthe 1010 GeV scale.PACS numbers: 11.30.Fs, 12.15.Ff, 12.60.-i
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