The primordial black hole from running curvaton. (arXiv:2107.07310v3 [astro-ph.CO] UPDATED)

The primordial black hole from running curvaton. (arXiv:2107.07310v3 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Liu_L/0/1/0/all/0/1">Lei-Hua Liu</a>

In light of our previous work cite{Liu:2019xhn}, we investigate the
possibility of the formation of a primordial black-hole during preheating
period, in which we have implemented the instability of the Mathieu equation.
For generating sufficient enough enhanced power spectrum, we choose some proper
parameters belonging to the narrow resonance. To characterize the full power
spectrum, the enhanced part of the power spectrum is depicted by the $delta$
function at some specific scales, which is highly relevant to the mass of the
inflaton due to the explicit coupling between the curvaton and inflaton. After
the inflationary period, the effective mass of inflaton is determined by its
derivative with potential, thus the mass of inflaton can vary from the initial
value satisfying with the COBE normalization up to the vanishing. Thanks to the
huge choices for this mass parameter, we can simulate the value of abundance of
primordial black holes nearly covering all of the mass ranges, in which we have
given three special cases. One case could account for the dark matter in some
sense since the abundance of a primordial black hole is about $75%$. At late
times, the relic of exponential potential could be approximated to a constant
of the order of cosmological constant dubbed as a role of dark energy. Thus,
our model could unify dark energy and dark matter from the perspective of
phenomenology. Finally, it sheds new light on exploring Higgs physics.

In light of our previous work cite{Liu:2019xhn}, we investigate the
possibility of the formation of a primordial black-hole during preheating
period, in which we have implemented the instability of the Mathieu equation.
For generating sufficient enough enhanced power spectrum, we choose some proper
parameters belonging to the narrow resonance. To characterize the full power
spectrum, the enhanced part of the power spectrum is depicted by the $delta$
function at some specific scales, which is highly relevant to the mass of the
inflaton due to the explicit coupling between the curvaton and inflaton. After
the inflationary period, the effective mass of inflaton is determined by its
derivative with potential, thus the mass of inflaton can vary from the initial
value satisfying with the COBE normalization up to the vanishing. Thanks to the
huge choices for this mass parameter, we can simulate the value of abundance of
primordial black holes nearly covering all of the mass ranges, in which we have
given three special cases. One case could account for the dark matter in some
sense since the abundance of a primordial black hole is about $75%$. At late
times, the relic of exponential potential could be approximated to a constant
of the order of cosmological constant dubbed as a role of dark energy. Thus,
our model could unify dark energy and dark matter from the perspective of
phenomenology. Finally, it sheds new light on exploring Higgs physics.

http://arxiv.org/icons/sfx.gif