VISH$nu$: a unified solution to five SM shortcomings with a protected electroweak scale. (arXiv:2206.11598v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Sopov_A/0/1/0/all/0/1">Alexei H. Sopov</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Volkas_R/0/1/0/all/0/1">Raymond R. Volkas</a>

We propose a Standard Model extension, coined VISH$nu$ (Variant-axIon Seesaw
Higgs $nu$-trino), that is a variation of its predecessor, the $nu$DFSZ
model. In accounting for the origin of neutrino masses, dark matter and the
baryon asymmetry of the universe, VISH$nu$ inherits the explanatory power of
$nu$DFSZ while, of course, resolving the strong $CP$ problem. In both models,
the electroweak scale is naturally protected in the presence of a high seesaw
scale that is identified with the Peccei-Quinn (PQ) spontaneous symmetry
breaking scale. Importantly, VISH$nu$ extends the cosmological reach of
$nu$DFSZ to include a viable period of inflation and, through a variant
flavour coupling structure, evades a cosmological domain wall problem. The
focus of this paper is thus on the inflationary dynamics of VISH$nu$ and their
naturalness in the sense of radiative stability. In particular, we find that
non-minimal gravitational couplings of the VISH$nu$ scalar fields naturally
give rise to a selection of viable inflatons. An axion mass window
[$40mutext{eV}, sim 2text{meV}$], which is accessible to forthcoming
searches, results for the case that PQ symmetry is restored during the
(p)reheating phase.

We propose a Standard Model extension, coined VISH$nu$ (Variant-axIon Seesaw
Higgs $nu$-trino), that is a variation of its predecessor, the $nu$DFSZ
model. In accounting for the origin of neutrino masses, dark matter and the
baryon asymmetry of the universe, VISH$nu$ inherits the explanatory power of
$nu$DFSZ while, of course, resolving the strong $CP$ problem. In both models,
the electroweak scale is naturally protected in the presence of a high seesaw
scale that is identified with the Peccei-Quinn (PQ) spontaneous symmetry
breaking scale. Importantly, VISH$nu$ extends the cosmological reach of
$nu$DFSZ to include a viable period of inflation and, through a variant
flavour coupling structure, evades a cosmological domain wall problem. The
focus of this paper is thus on the inflationary dynamics of VISH$nu$ and their
naturalness in the sense of radiative stability. In particular, we find that
non-minimal gravitational couplings of the VISH$nu$ scalar fields naturally
give rise to a selection of viable inflatons. An axion mass window
[$40mutext{eV}, sim 2text{meV}$], which is accessible to forthcoming
searches, results for the case that PQ symmetry is restored during the
(p)reheating phase.

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