Dark Matter, Dark Radiation and Gravitational Waves from Mirror Higgs Parity. (arXiv:1908.02756v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Dunsky_D/0/1/0/all/0/1">David Dunsky</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Hall_L/0/1/0/all/0/1">Lawrence J. Hall</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Harigaya_K/0/1/0/all/0/1">Keisuke Harigaya</a>

An exact parity replicates the Standard Model giving a Mirror Standard Model,
SM $leftrightarrow$ SM$’$. This “Higgs Parity” and the mirror electroweak
symmetry are spontaneously broken by the mirror Higgs, $leftlangle
H’rightrangle = v’ gg leftlangle Hrightrangle$, yielding the Standard
Model Higgs as a Pseudo-Nambu-Goldstone Boson of an approximate $SU(4)$
symmetry, with a quartic coupling $lambda_{SM}(v’) sim 10^{-3}$. Mirror
electromagnetism is unbroken and dark matter is composed of $e’$ and
$bar{e}’$. Direct detection may be possible via the kinetic mixing portal, and
in unified theories this rate is correlated with the proton decay rate. With a
high reheat temperature after inflation, the $e’$ dark matter abundance is
determined by freeze-out followed by dilution from decays of mirror neutrinos,
$nu’ rightarrow ell H$. Remarkably, this requires $v’ sim (10^8 – 10^{10})$
GeV, consistent with the Higgs mass, and a Standard Model neutrino mass of
$(10^{-2} – 10^{-1})$ eV, consistent with observed neutrino masses. The mirror
QCD sector exhibits a first order phase transition producing gravitational
waves that may be detected by future observations. Mirror glueballs decay to
mirror photons giving dark radiation with $Delta N_{rm eff} sim 0.03 – 0.4$.
With a low reheat temperature after inflation, the $e’$ dark matter abundance
is determined by freeze-in from the SM sector by either the Higgs or kinetic
mixing portal.

An exact parity replicates the Standard Model giving a Mirror Standard Model,
SM $leftrightarrow$ SM$’$. This “Higgs Parity” and the mirror electroweak
symmetry are spontaneously broken by the mirror Higgs, $leftlangle
H’rightrangle = v’ gg leftlangle Hrightrangle$, yielding the Standard
Model Higgs as a Pseudo-Nambu-Goldstone Boson of an approximate $SU(4)$
symmetry, with a quartic coupling $lambda_{SM}(v’) sim 10^{-3}$. Mirror
electromagnetism is unbroken and dark matter is composed of $e’$ and
$bar{e}’$. Direct detection may be possible via the kinetic mixing portal, and
in unified theories this rate is correlated with the proton decay rate. With a
high reheat temperature after inflation, the $e’$ dark matter abundance is
determined by freeze-out followed by dilution from decays of mirror neutrinos,
$nu’ rightarrow ell H$. Remarkably, this requires $v’ sim (10^8 – 10^{10})$
GeV, consistent with the Higgs mass, and a Standard Model neutrino mass of
$(10^{-2} – 10^{-1})$ eV, consistent with observed neutrino masses. The mirror
QCD sector exhibits a first order phase transition producing gravitational
waves that may be detected by future observations. Mirror glueballs decay to
mirror photons giving dark radiation with $Delta N_{rm eff} sim 0.03 – 0.4$.
With a low reheat temperature after inflation, the $e’$ dark matter abundance
is determined by freeze-in from the SM sector by either the Higgs or kinetic
mixing portal.

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