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Maximum Entropy Inferences on the Axion Mass in Models with Axion-Neutrino Interaction
In this work we use the Maximum Entropy Principle (MEP) to infer the mass of
an axion which interacts to photons and neutrinos in an effective low energy
theory. The Shannon entropy function to be maximized is suitably defined in
terms of the axion branching ratios. We show that MEP strongly constrains the
axion mass taking into account the current experimental bounds on the neutrinos
masses. Assuming that the axion is massive enough to decay into all the three
neutrinos and that MEP fixes all the free parameters of the model, the inferred
axion mass is in the interval eV eV, which can be tested
by forthcoming experiments such as IAXO. However, even in the case where MEP
fixes just the axion mass and no other parameter, we found that eV eV in the DFSZ model with right-handed neutrinos. Moreover, a light
axion, allowed to decay to photons and the lightest neutrino only, is
determined by MEP as a viable dark matter candidate.Comment: 13 pages, 5 figures, typos corrected, figures update
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