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SUMMARY:Primordial black holes and stochastic inflation beyond slow roll -
  Swagat Saurav Mishra (Nottingham)
DTSTART:20231009T120000Z
DTEND:20231009T130000Z
UID:TALK205135@talks.cam.ac.uk
CONTACT:Dr  Dong-Gang Wang
DESCRIPTION:Primordial Black Holes (PBHs) may form in the early universe\,
  from the gravitational collapse of large density perturbations\, generate
 d by large quantum fluctuations during inflation. Since PBHs form from rar
 e over-densities\, their abundance is sensitive to the tail of the primord
 ial probability distribution function (PDF) of the perturbations. It is th
 erefore important to calculate the full PDF of the perturbations\, which c
 an be carried out non-perturbatively using the 'stochastic inflation' fram
 ework. In single field inflationary models\, generating large enough pertu
 rbations to produce an interesting abundance of PBHs requires violation of
  slow roll. It is therefore necessary to extend the stochastic inflation f
 ormalism beyond slow roll\, and consequently there has been a surge in the
  research interest in this direction in the recent years. A crucial ingred
 ient for this is the stochastic noise matrix corresponding to the small wa
 velength fluctuations. In this talk\, after providing a pedagogical  intro
 duction to PBHs and ultra slow-roll inflation\, the speaker will discuss a
 nalytical and numerical calculations of these matrix elements for an infla
 ton potential with a feature which violates slow roll and produces large\,
  potentially PBH generating\, perturbations. The seminar will be based on 
 the following work carried out at the Particle Cosmology Group\, Universit
 y of Nottingham\, in collaboration with Prof. Edmund J. Copeland and Prof.
  Anne M. Green :\nhttps://arxiv.org/abs/2303.17375
LOCATION:CMS\, Pav. B\, CTC Common Room (B1.19) [Potter Room]
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