Dark matter stability and one-loop neutrino mass generation based on Peccei–Quinn symmetry

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 PecceiQuinn 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 C P problem.

Dirac neutrino from the breaking of Peccei-Quinn symmetry

“…There are many attempts to connect axion and neutrino mass in the literature [9][10][11][12][13][14][15][16][17].…”

Precision calculation of the axion-nucleon coupling in chiral perturbation theory

“…the question why the observable QCD vacuum angle θ = θ QCD + arg det M q (with M q the quark mass matrix) is such a small quantity (current measurements of the neutron electric dipole moment imply | θ| 10 −11 [3][4][5]), its experimental detection would not only unequivocally solve the strong-CP problem, but potentially also provide an answer (or complement the answer) on the question of the nature of the cosmological dark matter, another pressing issue in contemporary physics research. At the same time a model with PQ symmetry breaking can lead to massive Majorana or Dirac neutrinos depending on the choice of assigning PQ charges to the SM particles and Higgses [6][7][8][9][10][11][12][13][14][15]. Moreover, the fact that axions and PQ symmetries arise quite naturally in superstring theory [16] increases their popularity further.…”

“…[45]: ∆u = 0.847(50), ∆d = −0.407(34), ∆s = −0.035(13),m u = 2.27(9) MeV, m d = 4.67(9) MeV, M π = 136.10(1.82) MeV, z = 0.485(19), w = 0.025(1), mN = 0.8726(31) GeV, d16 = 0.4(1.3) GeV −2 , d 18 = −0.44(24) GeV −2 , (62)…”

A connection between flavour anomaly, neutrino mass, and axion

“…GeV. Other studies on the link between U(1) PQ symmetry and neutrino/flavour can be found in [49][50][51][52][53][54][55][56][57][58][59][60][61][62][63].…”