Unified Emergence of Energy Scales and Cosmic Inflation
  In the quest for unification of the Standard Model with gravity, classical
scale invariance can be utilized to dynamically generate the Planck mass
$M_\mathrm{Pl}$. Then, the relation of Planck scale physics to the scale of
electroweak symmetry breaking $\mu_H$ requires further explanation. In this
paper, we propose a model that uses the spontaneous breaking of scale
invariance in the scalar sector as a unified origin for dynamical generation of
both scales. Using the Gildener-Weinberg approximation, only one scalar
acquires a vacuum expectation value of $v_S \sim (10^{16-17})\,\mathrm{GeV}$,
thus radiatively generating $M_\mathrm{Pl} \approx \beta_S^{1/2} v_S$ and
$\mu_H$ via the neutrino option with right handed neutrino masses $m_N = y_M
v_S \sim 10^7 \,\mathrm{GeV}$. Consequently, active SM neutrinos are given a
mass with the inclusion of a type-I seesaw mechanism. Furthermore, we adopt an
unbroken $Z_2$ symmetry and a $Z_2$-odd set of right-handed Majorana neutrinos
$\chi$ that do not take part in the neutrino option and are able to produce the
correct dark matter relic abundance (dominantly) via inflaton decay. The model
also describes cosmic inflation and the inflationary CMB observables are
predicted to interpolate between those of $R^2$ and linear chaotic inflationary
model and are thus well within the strongest experimental constraints.
