Abstract
We propose a model which is a simple extension of the KSVZ invisible axion model with an inert doublet scalar. Peccei–Quinn symmetry forbids tree-level neutrino mass generation and its remnant Z_2 symmetry guarantees dark matter stability. The neutrino masses are generated by one-loop effects as a result of the breaking of Peccei–Quinn symmetry through a nonrenormalizable interaction. Although the low energy effective model coincides with an original scotogenic model which contains right-handed neutrinos with large masses, it is free from the strong CP problem.
Highlights
The U (1)P Q breaking is known to cause N degenerate minima for the axion potential due to the QCD anomaly depending on both the field contents and the PQ charge assignment for them
We have proposed an extension of the KSVZ invisible axion model so as to include a dark matter (DM) candidate and explain the small neutrino masses
After the U (1)P Q symmetry breaking, its subgroup Z2 could remain as a remnant effective symmetry, which is violated through the QCD anomaly but it can play the same role as the Z2 in the scotogenic neutrino mass model
Summary
The U (1)P Q breaking is known to cause N degenerate minima for the axion potential due to the QCD anomaly depending on both the field contents and the PQ charge assignment for them. The low energy effective model obtained from it after the breakdown of the U (1)P Q symmetry is reduced to the original scotogenic neutrino mass model with an effective Z2 symmetry [30]. This Z2 symmetry could guarantee the stability of a lightest neutral component of the inert doublet scalar to give a DM candidate.
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