Built on

H. Niikura, M. Takada, S. Yokoyama, T. Sumi and S. Masaki, Constraints on Earth-mass primordial black holes from OGLE 5-year microlensing events , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
S. Young, I. Musco and C. T. Byrnes, Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation , JCAP 11
Original
1904
Earlier work this paper cites.
V. Atal, J. Garriga and A. Marcos-Caballero, Primordial black hole formation with non-Gaussian curvature perturbations , JCAP 09
Original
1905
Earlier work this paper cites.
C.-M. Yoo, J.-O. Gong and S. Yokoyama, Abundance of primordial black holes with local non-Gaussianity in peak theory , JCAP 09
Original
1906
Earlier work this paper cites.
R. Laha, Primordial Black Holes as a Dark Matter Candidate Are Severely Constrained by the Galactic Center 511 keV γ \gamma -Ray Line , Phys. Rev. Lett. 123
Original
1906
Earlier work this paper cites.
W. DeRocco and P. W. Graham, Constraining Primordial Black Hole Abundance with the Galactic 511 keV Line , Phys. Rev. Lett. 123
Original
1906
Earlier work this paper cites.
T. Suyama and S. Yokoyama, Clustering of primordial black holes with non-Gaussian initial fluctuations , PTEP 2019
Original
1906
Earlier work this paper cites.
A. Escrivà, C. Germani and R. K. Sheth, Universal threshold for primordial black hole formation , Phys. Rev. D 101
Original
1907
Earlier work this paper cites.
D. Reitze et al., Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO , Bull. Am. Astron. Soc. 51
Original
1907
Earlier work this paper cites.
V. Atal, J. Cid, A. Escrivà and J. Garriga, PBH in single field inflation: the effect of shape dispersion and non-Gaussianities , JCAP 05
Original
1908
Earlier work this paper cites.
S. Young and C. T. Byrnes, Initial clustering and the primordial black hole merger rate , JCAP 03
Original
1910
Earlier work this paper cites.
D. Y. Cheong, S. M. Lee and S. C. Park, Primordial black holes in Higgs- R 2 R^{2} inflation as the whole of dark matter , JCAP 01
Original
1912
Earlier work this paper cites.
M. Maggiore et al., Science Case for the Einstein Telescope , JCAP 03
Original
1912
Earlier work this paper cites.
D. Lynden-Bell, Galactic nuclei as collapsed old quasars , Nature 223
1969
Earlier work this paper cites.
S. Hawking, Gravitationally collapsed objects of very low mass , Mon. Not. Roy. Astron. Soc. 152
1971
Earlier work this paper cites.
B. J. Carr and S. W. Hawking, Black holes in the early Universe , Mon. Not. Roy. Astron. Soc. 168
1974
Earlier work this paper cites.
B. J. Carr, The Primordial black hole mass spectrum , Astrophys. J. 201
1975
Earlier work this paper cites.
G. F. Chapline, Cosmological effects of primordial black holes , Nature 253
1975
Earlier work this paper cites.
D. N. Page and S. W. Hawking, Gamma rays from primordial black holes , Astrophys. J. 206
1976
Earlier work this paper cites.
S. W. Hawking, I. G. Moss and J. M. Stewart, Bubble Collisions in the Very Early Universe , Phys. Rev. D 26
1982
Earlier work this paper cites.
A. A. Starobinsky, Dynamics of Phase Transition in the New Inflationary Universe Scenario and Generation of Perturbations , Phys. Lett. B 117
1982
Earlier work this paper cites.
A. A. Starobinsky, Multicomponent de Sitter (Inflationary) Stages and the Generation of Perturbations , JETP Lett. 42
1985
Earlier work this paper cites.
A. A. Starobinsky, STOCHASTIC DE SITTER (INFLATIONARY) STAGE IN THE EARLY UNIVERSE , Lect. Notes Phys. 246
1986
Earlier work this paper cites.
Y. Nambu and M. Sasaki, Stochastic Stage of an Inflationary Universe Model , Phys. Lett. B 205
1988
Earlier work this paper cites.
K.-i. Nakao, Y. Nambu and M. Sasaki, Stochastic Dynamics of New Inflation , Prog. Theor. Phys. 80
1988
Earlier work this paper cites.
S. W. Hawking, Black Holes From Cosmic Strings , Phys. Lett. B 231
1989
Earlier work this paper cites.
Y. Nambu and M. Sasaki, Stochastic Approach to Chaotic Inflation and the Distribution of Universes , Phys. Lett. B 219
1989
Earlier work this paper cites.
H. E. Kandrup, STOCHASTIC INFLATION AS A TIME DEPENDENT RANDOM WALK , Phys. Rev. D 39
1989
Earlier work this paper cites.
Y. Nambu, Stochastic Dynamics of an Inflationary Model and Initial Distribution of Universes , Prog. Theor. Phys. 81
1989
Earlier work this paper cites.
D. S. Salopek and J. R. Bond, Nonlinear evolution of long wavelength metric fluctuations in inflationary models , Phys. Rev. D 42
1990
Earlier work this paper cites.
S. Mollerach, S. Matarrese, A. Ortolan and F. Lucchin, Stochastic inflation in a simple two field model , Phys. Rev. D 44
1991
Earlier work this paper cites.
J. Garriga and A. Vilenkin, Black holes from nucleating strings , Phys. Rev. D 47
1993
Earlier work this paper cites.
M. W. Choptuik, Universality and scaling in gravitational collapse of a massless scalar field , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
P. Ivanov, P. Naselsky and I. Novikov, Inflation and primordial black holes as dark matter , Phys. Rev. D 50
1994
Earlier work this paper cites.
A. D. Linde, Hybrid inflation , Phys. Rev. D 49
1994
Earlier work this paper cites.
A. D. Linde, D. A. Linde and A. Mezhlumian, From the Big Bang theory to the theory of a stationary universe , Phys. Rev. D 49
1994
Earlier work this paper cites.
A. A. Starobinsky and J. Yokoyama, Equilibrium state of a selfinteracting scalar field in the De Sitter background , Phys. Rev. D 50
1994
Earlier work this paper cites.
C. R. Evans and J. S. Coleman, Observation of critical phenomena and selfsimilarity in the gravitational collapse of radiation fluid , Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
J. Kormendy and D. Richstone, Inward bound: The Search for supermassive black holes in galactic nuclei , Ann. Rev. Astron. Astrophys. 33
1995
Earlier work this paper cites.
T. Koike, T. Hara and S. Adachi, Critical behavior in gravitational collapse of radiation fluid: A Renormalization group (linear perturbation) analysis , Phys. Rev. Lett. 74
1995
Earlier work this paper cites.
J. Garcia-Bellido, A. D. Linde and D. Wands, Density perturbations and black hole formation in hybrid inflation , Phys. Rev. D 54
1996
Earlier work this paper cites.
R. R. Caldwell and P. Casper, Formation of black holes from collapsed cosmic string loops , Phys. Rev. D 53
1996
Earlier work this paper cites.
M. Sasaki and E. D. Stewart, A General analytic formula for the spectral index of the density perturbations produced during inflation , Prog. Theor. Phys. 95
1996
Earlier work this paper cites.
D. J. Fixsen, E. S. Cheng, J. M. Gales, J. C. Mather, R. A. Shafer and E. L. Wright, The Cosmic Microwave Background spectrum from the full COBE FIRAS data set , Astrophys. J. 473
1996
Earlier work this paper cites.
J. S. Bullock and J. R. Primack, NonGaussian fluctuations and primordial black holes from inflation , Phys. Rev. D 55
1997
Earlier work this paper cites.
M. Kawasaki, N. Sugiyama and T. Yanagida, Primordial black hole formation in a double inflation model in supergravity , Phys. Rev. D 57
1998
Earlier work this paper cites.
J. Yokoyama, Chaotic new inflation and formation of primordial black holes , Phys. Rev. D 58
1998
Earlier work this paper cites.
M. Sasaki and T. Tanaka, Superhorizon scale dynamics of multiscalar inflation , Prog. Theor. Phys. 99
1998
Earlier work this paper cites.

Similar

J. C. Niemeyer and K. Jedamzik, Near-critical gravitational collapse and the initial mass function of primordial black holes , Phys. Rev. Lett. 80
1998
Cited alongside, same era.
P. Ivanov, Nonlinear metric perturbations and production of primordial black holes , Phys. Rev. D 57
1998
Cited alongside, same era.
M. Shibata and M. Sasaki, Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity , Phys. Rev. D 60
1999
Cited alongside, same era.
J. C. Niemeyer and K. Jedamzik, Dynamics of primordial black hole formation , Phys. Rev. D 59
1999
Cited alongside, same era.
G. Ballesteros, J. Rey, M. Taoso and A. Urbano, Primordial black holes as dark matter and gravitational waves from single-field polynomial inflation , JCAP 07
Original
2001
Cited alongside, same era.

Then

S. Young and C. T. Byrnes, Long-short wavelength mode coupling tightens primordial black hole constraints , Phys. Rev. D 91
Original
2015
Later among the works it cites.
Y. Tada and S. Yokoyama, Primordial black holes as biased tracers , Phys. Rev. D 91
Original
2015
Later among the works it cites.
S. Young and C. T. Byrnes, Signatures of non-gaussianity in the isocurvature modes of primordial black hole dark matter , JCAP 04
Original
2015
Later among the works it cites.
LIGO Scientific, Virgo
Original
2016
Later among the works it cites.
J. Garriga, A. Vilenkin and J. Zhang, Black holes and the multiverse , JCAP 02
Original

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2023

On the primordial black hole formation in hybrid inflation

Tada, Yuichiro, Yamada, Masaki

Understand

We revisit the scenario of primordial black hole (PBH) formation from large curvature perturbations generated during the waterfall phase transition in hybrid inflation models.

In a minimal setup considered in the literature, the mass and abundance of PBHs are correlated and astrophysical size PBHs tend to be overproduced.
This is because a longer length scale for curvature perturbations (or a larger PBH mass) requires a longer waterfall regime with a flatter potential, which results in overproduction of curvature perturbations.
However, in this paper, we discuss that the higher-dimensional terms for the inflaton potential affect the dynamics during the waterfall phase transition and show that astrophysical size PHBs of order $10^{17\text{--}23} \, {\rm g}$ (which can explain the whole dark matter) can form in some parameter space consistently with any existing constraints.

Built on

H. Niikura, M. Takada, S. Yokoyama, T. Sumi and S. Masaki, Constraints on Earth-mass primordial black holes from OGLE 5-year microlensing events , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
S. Young, I. Musco and C. T. Byrnes, Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation , JCAP 11
Original
1904
Earlier work this paper cites.
V. Atal, J. Garriga and A. Marcos-Caballero, Primordial black hole formation with non-Gaussian curvature perturbations , JCAP 09
Original
1905
Earlier work this paper cites.
C.-M. Yoo, J.-O. Gong and S. Yokoyama, Abundance of primordial black holes with local non-Gaussianity in peak theory , JCAP 09
Original
1906
Earlier work this paper cites.
R. Laha, Primordial Black Holes as a Dark Matter Candidate Are Severely Constrained by the Galactic Center 511 keV γ \gamma -Ray Line , Phys. Rev. Lett. 123
Original
1906
Earlier work this paper cites.
W. DeRocco and P. W. Graham, Constraining Primordial Black Hole Abundance with the Galactic 511 keV Line , Phys. Rev. Lett. 123
Original
1906
Earlier work this paper cites.
T. Suyama and S. Yokoyama, Clustering of primordial black holes with non-Gaussian initial fluctuations , PTEP 2019
Original
1906
Earlier work this paper cites.
A. Escrivà, C. Germani and R. K. Sheth, Universal threshold for primordial black hole formation , Phys. Rev. D 101
Original
1907
Earlier work this paper cites.
D. Reitze et al., Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO , Bull. Am. Astron. Soc. 51
Original
1907
Earlier work this paper cites.
V. Atal, J. Cid, A. Escrivà and J. Garriga, PBH in single field inflation: the effect of shape dispersion and non-Gaussianities , JCAP 05
Original
1908
Earlier work this paper cites.
S. Young and C. T. Byrnes, Initial clustering and the primordial black hole merger rate , JCAP 03
Original
1910
Earlier work this paper cites.
D. Y. Cheong, S. M. Lee and S. C. Park, Primordial black holes in Higgs- R 2 R^{2} inflation as the whole of dark matter , JCAP 01
Original
1912
Earlier work this paper cites.
M. Maggiore et al., Science Case for the Einstein Telescope , JCAP 03
Original
1912
Earlier work this paper cites.
D. Lynden-Bell, Galactic nuclei as collapsed old quasars , Nature 223
1969
Earlier work this paper cites.
S. Hawking, Gravitationally collapsed objects of very low mass , Mon. Not. Roy. Astron. Soc. 152
1971
Earlier work this paper cites.
B. J. Carr and S. W. Hawking, Black holes in the early Universe , Mon. Not. Roy. Astron. Soc. 168
1974
Earlier work this paper cites.
B. J. Carr, The Primordial black hole mass spectrum , Astrophys. J. 201
1975
Earlier work this paper cites.
G. F. Chapline, Cosmological effects of primordial black holes , Nature 253
1975
Earlier work this paper cites.
D. N. Page and S. W. Hawking, Gamma rays from primordial black holes , Astrophys. J. 206
1976
Earlier work this paper cites.
S. W. Hawking, I. G. Moss and J. M. Stewart, Bubble Collisions in the Very Early Universe , Phys. Rev. D 26
1982
Earlier work this paper cites.
A. A. Starobinsky, Dynamics of Phase Transition in the New Inflationary Universe Scenario and Generation of Perturbations , Phys. Lett. B 117
1982
Earlier work this paper cites.
A. A. Starobinsky, Multicomponent de Sitter (Inflationary) Stages and the Generation of Perturbations , JETP Lett. 42
1985
Earlier work this paper cites.
A. A. Starobinsky, STOCHASTIC DE SITTER (INFLATIONARY) STAGE IN THE EARLY UNIVERSE , Lect. Notes Phys. 246
1986
Earlier work this paper cites.
Y. Nambu and M. Sasaki, Stochastic Stage of an Inflationary Universe Model , Phys. Lett. B 205
1988
Earlier work this paper cites.
K.-i. Nakao, Y. Nambu and M. Sasaki, Stochastic Dynamics of New Inflation , Prog. Theor. Phys. 80
1988
Earlier work this paper cites.
S. W. Hawking, Black Holes From Cosmic Strings , Phys. Lett. B 231
1989
Earlier work this paper cites.
Y. Nambu and M. Sasaki, Stochastic Approach to Chaotic Inflation and the Distribution of Universes , Phys. Lett. B 219
1989
Earlier work this paper cites.
H. E. Kandrup, STOCHASTIC INFLATION AS A TIME DEPENDENT RANDOM WALK , Phys. Rev. D 39
1989
Earlier work this paper cites.
Y. Nambu, Stochastic Dynamics of an Inflationary Model and Initial Distribution of Universes , Prog. Theor. Phys. 81
1989
Earlier work this paper cites.
D. S. Salopek and J. R. Bond, Nonlinear evolution of long wavelength metric fluctuations in inflationary models , Phys. Rev. D 42
1990
Earlier work this paper cites.
S. Mollerach, S. Matarrese, A. Ortolan and F. Lucchin, Stochastic inflation in a simple two field model , Phys. Rev. D 44
1991
Earlier work this paper cites.
J. Garriga and A. Vilenkin, Black holes from nucleating strings , Phys. Rev. D 47
1993
Earlier work this paper cites.
M. W. Choptuik, Universality and scaling in gravitational collapse of a massless scalar field , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
P. Ivanov, P. Naselsky and I. Novikov, Inflation and primordial black holes as dark matter , Phys. Rev. D 50
1994
Earlier work this paper cites.
A. D. Linde, Hybrid inflation , Phys. Rev. D 49
1994
Earlier work this paper cites.
A. D. Linde, D. A. Linde and A. Mezhlumian, From the Big Bang theory to the theory of a stationary universe , Phys. Rev. D 49
1994
Earlier work this paper cites.
A. A. Starobinsky and J. Yokoyama, Equilibrium state of a selfinteracting scalar field in the De Sitter background , Phys. Rev. D 50
1994
Earlier work this paper cites.
C. R. Evans and J. S. Coleman, Observation of critical phenomena and selfsimilarity in the gravitational collapse of radiation fluid , Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
J. Kormendy and D. Richstone, Inward bound: The Search for supermassive black holes in galactic nuclei , Ann. Rev. Astron. Astrophys. 33
1995
Earlier work this paper cites.
T. Koike, T. Hara and S. Adachi, Critical behavior in gravitational collapse of radiation fluid: A Renormalization group (linear perturbation) analysis , Phys. Rev. Lett. 74
1995
Earlier work this paper cites.
J. Garcia-Bellido, A. D. Linde and D. Wands, Density perturbations and black hole formation in hybrid inflation , Phys. Rev. D 54
1996
Earlier work this paper cites.
R. R. Caldwell and P. Casper, Formation of black holes from collapsed cosmic string loops , Phys. Rev. D 53
1996
Earlier work this paper cites.
M. Sasaki and E. D. Stewart, A General analytic formula for the spectral index of the density perturbations produced during inflation , Prog. Theor. Phys. 95
1996
Earlier work this paper cites.
D. J. Fixsen, E. S. Cheng, J. M. Gales, J. C. Mather, R. A. Shafer and E. L. Wright, The Cosmic Microwave Background spectrum from the full COBE FIRAS data set , Astrophys. J. 473
1996
Earlier work this paper cites.
J. S. Bullock and J. R. Primack, NonGaussian fluctuations and primordial black holes from inflation , Phys. Rev. D 55
1997
Earlier work this paper cites.
M. Kawasaki, N. Sugiyama and T. Yanagida, Primordial black hole formation in a double inflation model in supergravity , Phys. Rev. D 57
1998
Earlier work this paper cites.
J. Yokoyama, Chaotic new inflation and formation of primordial black holes , Phys. Rev. D 58
1998
Earlier work this paper cites.
M. Sasaki and T. Tanaka, Superhorizon scale dynamics of multiscalar inflation , Prog. Theor. Phys. 99
1998
Earlier work this paper cites.

Similar

J. C. Niemeyer and K. Jedamzik, Near-critical gravitational collapse and the initial mass function of primordial black holes , Phys. Rev. Lett. 80
1998
Cited alongside, same era.
P. Ivanov, Nonlinear metric perturbations and production of primordial black holes , Phys. Rev. D 57
1998
Cited alongside, same era.
M. Shibata and M. Sasaki, Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity , Phys. Rev. D 60
1999
Cited alongside, same era.
J. C. Niemeyer and K. Jedamzik, Dynamics of primordial black hole formation , Phys. Rev. D 59
1999
Cited alongside, same era.
G. Ballesteros, J. Rey, M. Taoso and A. Urbano, Primordial black holes as dark matter and gravitational waves from single-field polynomial inflation , JCAP 07
Original
2001
Cited alongside, same era.

Then

S. Young and C. T. Byrnes, Long-short wavelength mode coupling tightens primordial black hole constraints , Phys. Rev. D 91
Original
2015
Later among the works it cites.
Y. Tada and S. Yokoyama, Primordial black holes as biased tracers , Phys. Rev. D 91
Original
2015
Later among the works it cites.
S. Young and C. T. Byrnes, Signatures of non-gaussianity in the isocurvature modes of primordial black hole dark matter , JCAP 04
Original
2015
Later among the works it cites.
LIGO Scientific, Virgo
Original
2016
Later among the works it cites.
J. Garriga, A. Vilenkin and J. Zhang, Black holes and the multiverse , JCAP 02
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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B. Carr, K. Kohri, Y. Sendouda and J. Yokoyama, Constraints on primordial black holes , Rept. Prog. Phys. 84

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K. Schmitz, New Sensitivity Curves for Gravitational-Wave Signals from Cosmological Phase Transitions , JHEP 01

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D. H. Lyth, K. A. Malik and M. Sasaki, A General proof of the conservation of the curvature perturbation , JCAP 05

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H. Deng, Primordial black hole formation by vacuum bubbles. Part II , JCAP 09

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2006

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M. Kawasaki, T. Takayama, M. Yamaguchi and J. Yokoyama, Power Spectrum of the Density Perturbations From Smooth Hybrid New Inflation Model , Phys. Rev. D 74

2006

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2016

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B. Carr, F. Kuhnel and M. Sandstad, Primordial Black Holes as Dark Matter , Phys. Rev. D 94

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2016

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M. Kawasaki, A. Kusenko, Y. Tada and T. T. Yanagida, Primordial black holes as dark matter in supergravity inflation models , Phys. Rev. D 94

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