Primordial black holes and slow-roll violation

Motohashi, Hayato; Hu, Wayne

doi:10.1103/PhysRevD.96.063503

Title: Primordial black holes and slow-roll violation

Abstract

For primordial black holes (PBH) to be the dark matter in single-field inflation, the slow-roll approximation must be violated by at least O(1) in order to enhance the curvature power spectrum within the required number of efolds between CMB scales and PBH mass scales. Power spectrum predictions which rely on the inflaton remaining on the slow-roll attractor can fail dramatically leading to qualitatively incorrect conclusions in models like an inflection potential and misestimate the mass scale in a running mass model. We show that an optimized temporal evaluation of the Hubble slow-roll parameters to second order remains a good description for a wide range of PBH formation models where up to a 10⁷ amplification of power occurs in 10 e-folds or more.

Authors:

Motohashi, Hayato ^[1]; Hu, Wayne ^[2]

Univ. de Valencia-CSIC, Valencia (Spain)
Univ. of Chicago, IL (United States)

Publication Date:: Wed Sep 06 00:00:00 EDT 2017

Research Org.:: Univ. of Chicago, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1595681

Alternate Identifier(s):: OSTI ID: 1378825

Grant/Contract Number:: SC0009924; NASA ATP NNX15AK22G; FG02-13ER41958; FPA2014-57816-P

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 96; Journal Issue: 6; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS

Citation Formats


                    Motohashi, Hayato, and Hu, Wayne. Primordial black holes and slow-roll violation.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevD.96.063503.

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                    Motohashi, Hayato, & Hu, Wayne. Primordial black holes and slow-roll violation.  United States.  https://doi.org/10.1103/PhysRevD.96.063503

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                    Motohashi, Hayato, and Hu, Wayne. Wed .  
"Primordial black holes and slow-roll violation".  United States.  https://doi.org/10.1103/PhysRevD.96.063503.  https://www.osti.gov/servlets/purl/1595681.

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@article{osti_1595681,

  title        = {Primordial black holes and slow-roll violation},

  author       = {Motohashi, Hayato and Hu, Wayne},

  abstractNote = {For primordial black holes (PBH) to be the dark matter in single-field inflation, the slow-roll approximation must be violated by at least O(1) in order to enhance the curvature power spectrum within the required number of efolds between CMB scales and PBH mass scales. Power spectrum predictions which rely on the inflaton remaining on the slow-roll attractor can fail dramatically leading to qualitatively incorrect conclusions in models like an inflection potential and misestimate the mass scale in a running mass model. We show that an optimized temporal evaluation of the Hubble slow-roll parameters to second order remains a good description for a wide range of PBH formation models where up to a 107 amplification of power occurs in 10 e-folds or more.},

  doi          = {10.1103/PhysRevD.96.063503},

  journal      = {Physical Review D},

  number       = 6,

  volume       = 96,

  place        = {United States},

  year         = {Wed Sep 06 00:00:00 EDT 2017},

  month        = {Wed Sep 06 00:00:00 EDT 2017}

}

Copy to clipboard

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Primordial black holes (PBHs) cannot be produced abundantly enough to be the dark matter in canonical single-field inflation under slow roll. This conclusion is robust to local non-Gaussian correlations between long- and short-wavelength curvature modes, which we show have no effect in slow roll on local primordial black hole abundances. For the prototypical model which evades this no go, ultra-slow roll (USR), these squeezed non-Gaussian correlations have at most an order unity effect on the variance of PBH-producing curvature fluctuations for models that would otherwise fail to form sufficient PBHs. Moreover, the transition out of USR, which is necessary formore »« less
Cited by 93
https://doi.org/10.1103/PhysRevD.99.043536

Full Text Available
Amplification of primordial perturbations from the rise or fall of the inflaton

Journal Article Inomata, Keisuke ; McDonough, Evan ; Hu, Wayne - Journal of Cosmology and Astroparticle Physics

The next generation of cosmic microwave background, gravitational wave, and large scale structure, experiments will provide an unprecedented opportunity to probe the primordial power spectrum on small scales. An exciting possibility for what lurks on small scales is a sharp rise in the primordial power spectrum: this can lead to the formation of primordial black holes, providing a dark matter candidate or the black holes observed by the LIGO-Virgo collaboration. In this study we develop a mechanism for the amplification of the small-scale primordial power spectrum, in the context of single-field inflation with a step-like feature in the inflaton potential.more »« less
https://doi.org/10.1088/1475-7516/2022/02/031

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Primordial black hole dark matter from single field inflation

Journal Article Ballesteros, Guillermo ; Taoso, Marco - Physical Review. D.

We propose a model of inflation capable of generating a population of light black holes (about 10^–16–10^–14 solar masses) that might account for a significant fraction of the dark matter in the Universe. The effective potential of the model features an approximate inflection point arising from two-loop order logarithmic corrections in well-motivated and perturbative particle physics examples. This feature decelerates the inflaton before the end of inflation, enhancing the primordial spectrum of scalar fluctuations and triggering efficient black hole production with a peaked mass distribution. At larger field values, inflation occurs thanks to a generic small coupling between the inflatonmore »« less
https://doi.org/10.1103/physrevd.97.023501

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Title: Primordial black holes and slow-roll violation

Abstract

Citation Formats

Horizon crossing and inflation with large η journal, July 2005

The clustering of massive Primordial Black Holes as Dark Matter: Measuring their mass distribution with advanced LIGO journal, March 2017

Constant-roll inflation: Confrontation with recent observational data journal, February 2017

Did LIGO Detect Dark Matter? journal, May 2016

Primordial black holes as dark matter journal, October 2016

Constraints on primordial black holes with extended mass functions journal, April 2017

Running-mass inflation model and primordial black holes journal, April 2011

Primordial black hole constraints for extended mass functions journal, July 2017

Threshold of primordial black hole formation journal, October 2013

Spin distribution of primordial black holes journal, August 2017

Violation of non-Gaussianity consistency relation in a single-field inflationary model journal, February 2013

Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914 journal, August 2016

Planck 2015 results : XIII. Cosmological parameters journal, September 2016

f(R) constant-roll inflation journal, August 2017

Inflationary primordial black holes for the LIGO gravitational wave events and pulsar timing array experiments journal, June 2017

Gravitationally Collapsed Objects of Very Low Mass journal, April 1971

Primordial black hole formation in the early universe: critical behaviour and self-similarity journal, June 2013

Generalized slow roll approximation for large power spectrum features journal, January 2010

Primordial black holes as dark matter in supergravity inflation models journal, October 2016

Calculating the mass fraction of primordial black holes journal, July 2014

Running from features: Optimized evaluation of inflationary power spectra journal, August 2015

Erratum: Threshold of primordial black hole formation [Phys. Rev. D 88, 084051 (2013)] journal, January 2014

Ultra slow-roll inflation and the non-Gaussianity consistency relation journal, January 2013

GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence journal, June 2016

Inflation with a constant rate of roll journal, September 2015

Observation of Gravitational Waves from a Binary Black Hole Merger journal, February 2016

GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2 journal, June 2017

The primordial black hole mass spectrum journal, October 1975

Planck 2015 results : XX. Constraints on inflation journal, September 2016

Generalized slow roll in the unified effective field theory of inflation journal, July 2017

Stochastic gravitational waves associated with the formation of primordial black holes journal, February 2017

Planck 2015 results : XXIII. The thermal Sunyaev-Zeldovich effect-cosmic infrared background correlation journal, September 2016

Planck 2015 results : VI. LFI mapmaking journal, September 2016

Planck 2015 results : X. Diffuse component separation: Foreground maps journal, September 2016

Primordial black holes as dark matter conference, January 2008

Planck 2015 results : XVI. Isotropy and statistics of the CMB journal, September 2016

GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence other, January 2016

Planck 2015 results : XXVI. The Second journal, September 2016

GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2 other, January 2017

Planck 2015 results: XX. Constraints on inflation text, January 2016

Running-Mass Inflation Model and Primordial Black Holes text, January 2011

Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation text, January 2012

Planck 2015 results. XIII. Cosmological parameters text, January 2015

Did LIGO detect dark matter? text, January 2016

Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914 text, January 2016

Inflationary primordial black holes for the LIGO gravitational wave events and pulsar timing array experiments text, January 2016

Constraints on Primordial Black Holes with Extended Mass Functions text, January 2017

Generalized Slow Roll in the Unified Effective Field Theory of Inflation text, January 2017

Spin Distribution of Primordial Black Holes text, January 2017

$f(R)$ constant-roll inflation text, January 2017

Primordial black hole constraints for extended mass functions text, January 2017

Horizon crossing and inflation with large η text, January 2005

Primordial black hole dark matter and LIGO/Virgo merger rate from inflation with running spectral indices: formation in the matter- and/or radiation-dominated universe journal, November 2018

Primordial black holes from inflation and non-Gaussianity journal, March 2018

Quantum corrections to quartic inflation with a non-minimal coupling: metric vs. Palatini journal, March 2018

Primordial black holes from string inflation journal, June 2018

Mechanisms for primordial black hole production in string theory journal, July 2018

Quantum diffusion beyond slow-roll: implications for primordial black-hole production journal, August 2018

A new mechanism to enhance primordial tensor fluctuations in single field inflation journal, December 2018

Primordial black holes from α-attractors journal, January 2019

Planck scale black hole dark matter from Higgs inflation journal, January 2019

Steepest growth of the power spectrum and primordial black holes journal, June 2019

Squeezed tensor non-Gaussianity in non-attractor inflation journal, September 2019

Enhanced cosmological perturbations and the merger rate of PBH binaries journal, September 2019

Constraints on primordial curvature perturbations from primordial black hole dark matter and secondary gravitational waves journal, December 2019

Primordial black holes as generators of cosmic structures journal, May 2018

Signatures of Higgs dilaton and critical Higgs inflation journal, January 2018

Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes journal, July 2019

Primordial black holes from inflation with nonminimal derivative coupling journal, September 2019

Primordial black hole remnants as dark matter produced in thermal, matter, and runaway-quintessence postinflationary scenarios journal, October 2019

Primordial dark matter halos from fifth forces journal, October 2019

Gravitational waves from double-inflection-point inflation journal, January 2020

Scalar induced gravitational waves in inflation with gravitationally enhanced friction journal, January 2020

Quantum loop effects to the power spectrum of primordial perturbations during ultra slow-roll inflation journal, January 2020

Imprints of primordial non-Gaussianity on gravitational wave spectrum journal, February 2019

$$\alpha $$α-attractor from superconformal E-models in brane inflation journal, January 2020

Reconstruction of extended inflationary potentials for attractors journal, November 2018

Horizon crossing and inflation with large $η$
journal, July 2005

The clustering of massive Primordial Black Holes as Dark Matter: Measuring their mass distribution with advanced LIGO
journal, March 2017

Constant-roll inflation: Confrontation with recent observational data
journal, February 2017

Did LIGO Detect Dark Matter?
journal, May 2016

Primordial black holes as dark matter
journal, October 2016

Constraints on primordial black holes with extended mass functions
journal, April 2017

Running-mass inflation model and primordial black holes
journal, April 2011

Primordial black hole constraints for extended mass functions
journal, July 2017

Threshold of primordial black hole formation
journal, October 2013

Spin distribution of primordial black holes
journal, August 2017

Violation of non-Gaussianity consistency relation in a single-field inflationary model
journal, February 2013

Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914
journal, August 2016

Planck 2015 results : XIII. Cosmological parameters
journal, September 2016

f(R) constant-roll inflation
journal, August 2017

Inflationary primordial black holes for the LIGO gravitational wave events and pulsar timing array experiments
journal, June 2017

Gravitationally Collapsed Objects of Very Low Mass
journal, April 1971

Primordial black hole formation in the early universe: critical behaviour and self-similarity
journal, June 2013

Generalized slow roll approximation for large power spectrum features
journal, January 2010

Primordial black holes as dark matter in supergravity inflation models
journal, October 2016

Calculating the mass fraction of primordial black holes
journal, July 2014

Running from features: Optimized evaluation of inflationary power spectra
journal, August 2015

Erratum: Threshold of primordial black hole formation [Phys. Rev. D 88, 084051 (2013)]
journal, January 2014

Ultra slow-roll inflation and the non-Gaussianity consistency relation
journal, January 2013

GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
journal, June 2016

Inflation with a constant rate of roll
journal, September 2015

Observation of Gravitational Waves from a Binary Black Hole Merger
journal, February 2016

GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
journal, June 2017

The primordial black hole mass spectrum
journal, October 1975

Planck 2015 results : XX. Constraints on inflation
journal, September 2016

Generalized slow roll in the unified effective field theory of inflation
journal, July 2017

Stochastic gravitational waves associated with the formation of primordial black holes
journal, February 2017

Planck 2015 results : XXIII. The thermal Sunyaev-Zeldovich effect-cosmic infrared background correlation
journal, September 2016

Planck 2015 results : VI. LFI mapmaking
journal, September 2016

Planck 2015 results : X. Diffuse component separation: Foreground maps
journal, September 2016

Primordial black holes as dark matter
conference, January 2008

Planck 2015 results : XVI. Isotropy and statistics of the CMB
journal, September 2016

GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
other, January 2016

Planck 2015 results : XXVI. The Second
journal, September 2016

GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
other, January 2017

Planck 2015 results: XX. Constraints on inflation
text, January 2016

Running-Mass Inflation Model and Primordial Black Holes
text, January 2011

Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
text, January 2012

Planck 2015 results. XIII. Cosmological parameters
text, January 2015

Did LIGO detect dark matter?
text, January 2016

Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914
text, January 2016

Inflationary primordial black holes for the LIGO gravitational wave events and pulsar timing array experiments
text, January 2016

Constraints on Primordial Black Holes with Extended Mass Functions
text, January 2017

Generalized Slow Roll in the Unified Effective Field Theory of Inflation
text, January 2017

Spin Distribution of Primordial Black Holes
text, January 2017

$f(R)$ constant-roll inflation
text, January 2017

Primordial black hole constraints for extended mass functions
text, January 2017

Horizon crossing and inflation with large η
text, January 2005

Primordial black hole dark matter and LIGO/Virgo merger rate from inflation with running spectral indices: formation in the matter- and/or radiation-dominated universe
journal, November 2018

Primordial black holes from inflation and non-Gaussianity
journal, March 2018

Quantum corrections to quartic inflation with a non-minimal coupling: metric vs. Palatini
journal, March 2018

Primordial black holes from string inflation
journal, June 2018

Mechanisms for primordial black hole production in string theory
journal, July 2018

Quantum diffusion beyond slow-roll: implications for primordial black-hole production
journal, August 2018

A new mechanism to enhance primordial tensor fluctuations in single field inflation
journal, December 2018

Primordial black holes from α-attractors
journal, January 2019

Planck scale black hole dark matter from Higgs inflation
journal, January 2019

Steepest growth of the power spectrum and primordial black holes
journal, June 2019

Squeezed tensor non-Gaussianity in non-attractor inflation
journal, September 2019

Enhanced cosmological perturbations and the merger rate of PBH binaries
journal, September 2019

Constraints on primordial curvature perturbations from primordial black hole dark matter and secondary gravitational waves
journal, December 2019

Primordial black holes as generators of cosmic structures
journal, May 2018

Signatures of Higgs dilaton and critical Higgs inflation
journal, January 2018

Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes
journal, July 2019

Primordial black holes from inflation with nonminimal derivative coupling
journal, September 2019

Primordial black hole remnants as dark matter produced in thermal, matter, and runaway-quintessence postinflationary scenarios
journal, October 2019

Primordial dark matter halos from fifth forces
journal, October 2019

Gravitational waves from double-inflection-point inflation
journal, January 2020

Scalar induced gravitational waves in inflation with gravitationally enhanced friction
journal, January 2020

Quantum loop effects to the power spectrum of primordial perturbations during ultra slow-roll inflation
journal, January 2020

Imprints of primordial non-Gaussianity on gravitational wave spectrum
journal, February 2019

$$\alpha $$α-attractor from superconformal E-models in brane inflation
journal, January 2020

Reconstruction of extended inflationary potentials for attractors
journal, November 2018

On the Constant-Roll Inflation with Large and Small ηH
journal, October 2019

CMB bounds on disk-accreting massive Primordial Black Holes
text, January 2017

Primordial Black Holes from Inflation and non-Gaussianity
text, January 2018