Primordial Black Holes from non-Gaussian tails. (arXiv:1906.02827v1 [hep-th])
<a href="http://arxiv.org/find/hep-th/1/au:+Panagopoulos_G/0/1/0/all/0/1">George Panagopoulos</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Silverstein_E/0/1/0/all/0/1">Eva Silverstein</a>
We develop a primordial black hole (PBH) production mechanism, deriving
non-Gaussian tails from interacting quantum fields during early universe
inflation. The multi-field potential landscape may contain relatively flat
directions, as a result of energetically favorable adjustments of fields
coupled to the inflaton. Such additional fields do not contribute to CMB
fluctuations given a sufficient large-scale decay, related to a gap in the
critical exponents computed using stochastic methods. Along such directions
transverse to the inflaton, the field makes rare jumps to large values. Mixing
with the inflaton leads to a substantial tail in the resulting probability
distribution for the primordial perturbations. Incorporating a large number of
flavors of fields ensures theoretical control of radiative corrections and a
substantial abundance. This generates significant PBH production for a
reasonable window of parameters, with the mass range determined by the time
period of mixing and the inflationary Hubble scale. We analyze a particular
model in detail, and then comment on a broader family of models in this class
which suggests a mechanism for primordial seeds for early super-massive black
holes in the universe. Along the way, we encounter an analytically tractable
example of stochastic dynamics and provide some representative calculations of
its correlations and probability distributions.
We develop a primordial black hole (PBH) production mechanism, deriving
non-Gaussian tails from interacting quantum fields during early universe
inflation. The multi-field potential landscape may contain relatively flat
directions, as a result of energetically favorable adjustments of fields
coupled to the inflaton. Such additional fields do not contribute to CMB
fluctuations given a sufficient large-scale decay, related to a gap in the
critical exponents computed using stochastic methods. Along such directions
transverse to the inflaton, the field makes rare jumps to large values. Mixing
with the inflaton leads to a substantial tail in the resulting probability
distribution for the primordial perturbations. Incorporating a large number of
flavors of fields ensures theoretical control of radiative corrections and a
substantial abundance. This generates significant PBH production for a
reasonable window of parameters, with the mass range determined by the time
period of mixing and the inflationary Hubble scale. We analyze a particular
model in detail, and then comment on a broader family of models in this class
which suggests a mechanism for primordial seeds for early super-massive black
holes in the universe. Along the way, we encounter an analytically tractable
example of stochastic dynamics and provide some representative calculations of
its correlations and probability distributions.
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