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Spectators no more! How even unimportant fields can ruin your Primordial Black Hole model

Published 15 Jun 2023 in astro-ph.CO and gr-qc | (2306.09232v2)

Abstract: In this work we terminate inflation during a phase of Constant Roll by means of a waterfall field coupled to the inflaton and a spectator field. The presence of a spectator field means that inflation does not end at a single point, ϕe\phi_e, but instead has some uncertainty resulting in a stochastic end of inflation. We find that even modestly coupled spectator fields can drastically increase the abundance of Primordial Black Holes (PBHs) formed by many orders of magnitude. The power spectrum created by the inflaton can be as little as 10<sup>410<sup>{-4} during a phase of Ultra Slow-Roll and still form a cosmologically relevant number of PBHs. We conclude that the presence of spectator fields, which very generically will alter the end of inflation, is an effect that cannot be ignored in realistic models of PBH formation.

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References (98)
  1. A. Starobinsky, “A new type of isotropic cosmological models without singularity,” Physics Letters B, vol. 91, pp. 99–102, mar 1980.
  2. K. Sato, “First-order phase transition of a vacuum and the expansion of the Universe,” Monthly Notices of the Royal Astronomical Society, vol. 195, pp. 467–479, jul 1981.
  3. A. H. Guth, “Inflationary universe: A possible solution to the horizon and flatness problems,” Physical Review D, vol. 23, pp. 347–356, jan 1981.
  4. A. Linde, “A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems,” Physics Letters B, vol. 108, pp. 389–393, feb 1982.
  5. A. Albrecht and P. J. Steinhardt, “Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking,” Physical Review Letters, vol. 48, pp. 1220–1223, apr 1982.
  6. A. Linde, “Chaotic inflation,” Physics Letters B, vol. 129, pp. 177–181, sep 1983.
  7. N. Turok, “String-driven inflation,” Physical Review Letters, vol. 60, pp. 549–552, 02 1988.
  8. T. Damour and A. Vilenkin, “String theory and inflation,” Physical Review D, vol. 53, pp. 2981–2989, 03 1996.
  9. S. Kachru, R. Kallosh, A. Linde, et al., “Towards inflation in string theory,” Journal of Cosmology and Astroparticle Physics, vol. 2003, pp. 013–013, 10 2003.
  10. L. Pinol, S. Renaux-Petel, and Y. Tada, “A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation,” Journal of Cosmology and Astroparticle Physics, vol. 2021, p. 048, 4 2021.
  11. A. Linde and V. Mukhanov, “Non-Gaussian isocurvature perturbations from inflation,” Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 56, no. 2, pp. R535–R539, 1997.
  12. T. Moroi and T. Takahashi, “Effects of cosmological moduli fields on cosmic microwave background,” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 522, no. 3-4, pp. 215–221, 2001.
  13. D. H. Lyth and D. Wands, “Generating the curvature perturbation without an inflaton,” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 524, no. 1-2, pp. 5–14, 2002.
  14. T. Moroi and T. Takahashi, “Cosmic density perturbations from late-decaying scalar condensations,” Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 66, no. 6, 2002.
  15. D. H. Lyth, C. Ungarelli, and D. Wands, “Primordial density perturbation in the curvaton scenario,” Physical Review D, vol. 67, p. 023503, jan 2003.
  16. D. H. Lyth, “Generating the curvature perturbation at the end of inflation,” Journal of Cosmology and Astroparticle Physics, no. 11, pp. 111–120, 2005.
  17. V. Vennin, K. Koyama, and D. Wands, “Encyclopædia curvatonis,” Journal of Cosmology and Astroparticle Physics, vol. 2015, no. 11, 2015.
  18. Y. B. Zel’dovich and I. Novikov, “The Hypothesis of Cores Retarded during Expansion and the Hot Cosmological Model,” Soviet Astron. AJ (Engl. Transl. ), vol. 10, p. 602, 2 1967.
  19. S. Hawking, “Gravitationally Collapsed Objects of Very Low Mass,” Monthly Notices of the Royal Astronomical Society, vol. 152, pp. 75–78, 4 1971.
  20. G. F. CHAPLINE, “Cosmological effects of primordial black holes,” Nature, vol. 253, pp. 251–252, 1 1975.
  21. Y. Akrami, F. Arroja, M. Ashdown, et al., “Planck 2018 results: X. Constraints on inflation,” Astronomy and Astrophysics, vol. 641, 2020.
  22. D. N. Maeso, L. Marzola, M. Raidal, et al., “Primordial black holes from spectator field bubbles,” Journal of Cosmology and Astroparticle Physics, vol. 2022, p. 017, 2 2022.
  23. A. Nassiri-Rad, K. Asadi, and H. Firouzjahi, “Inflation with Stochastic Boundary,” 2022.
  24. A. Linde, “Axions in inflationary cosmology,” Physics Letters B, vol. 259, no. 1-2, pp. 38–47, 1991.
  25. A. Linde, “Hybrid inflation,” Phys. Rev. D, vol. 49, pp. 748–754, Jan 1994.
  26. J. García-Bellido, A. Linde, and D. Wands, “Density perturbations and black hole formation in hybrid inflation,” Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 54, no. 10, pp. 6040–6058, 1996.
  27. S. Clesse and J. García-Bellido, “Massive primordial black holes from hybrid inflation as dark matter and the seeds of galaxies,” Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 92, no. 2, pp. 1–17, 2015.
  28. Y. Tada and M. Yamada, “On the primordial black hole formation in hybrid inflation,” pp. 1–13, apr 2023.
  29. Y. Tada and M. Yamada, “Stochastic dynamics of multi-waterfall hybrid inflation and formation of primordial black holes,” jun 2023.
  30. P. S. Cole, A. D. Gow, C. T. Byrnes, and S. P. Patil, “Primordial black holes from single-field inflation: a fine-tuning audit,” pp. 1–23, 2023.
  31. A. A. Starobinsky, “Stochastic de sitter (inflationary) stage in the early universe,” pp. 107–126, 1988.
  32. Y. Nambu and M. Sasaki, “Stochastic stage of an inflationary universe model,” Physics Letters B, vol. 205, pp. 441–446, 05 1988.
  33. Y. Nambu and M. Sasaki, “Stochastic approach to chaotic inflation and the distribution of universes,” Physics Letters B, vol. 219, pp. 240–246, 03 1989.
  34. S. Mollerach, S. Matarrese, A. Ortolan, and F. Lucchin, “Stochastic inflation in a simple two-field model,” Physical Review D, vol. 44, pp. 1670–1679, 09 1991.
  35. D. S. Salopek and J. R. Bond, “Stochastic inflation and nonlinear gravity,” Physical Review D, vol. 43, no. 4, pp. 1005–1031, 1991.
  36. S. Habib, “Stochastic inflation: Quantum phase-space approach,” Physical Review D, vol. 46, pp. 2408–2427, 09 1992.
  37. A. Linde, D. Linde, and A. Mezhlumian, “From the big bang theory to the theory of a stationary universe,” Physical Review D, vol. 49, pp. 1783–1826, 02 1994.
  38. A. A. Starobinsky and J. Yokoyama, “Equilibrium state of a self-interacting scalar field in the de Sitter background,” Physical Review D, vol. 50, no. 10, pp. 6357–6368, 1994.
  39. N. Tsamis and R. Woodard, “Stochastic quantum gravitational inflation,” Nuclear Physics B, vol. 724, pp. 295–328, 09 2005.
  40. F. Finelli, G. Marozzi, A. A. Starobinsky, et al., “Generation of fluctuations during inflation: Comparison of stochastic and field-theoretic approaches,” Physical Review D, vol. 79, p. 044007, 02 2009.
  41. F. Finelli, G. Marozzi, A. A. Starobinsky, et al., “Stochastic growth of quantum fluctuations during slow-roll inflation,” Physical Review D, vol. 82, p. 064020, 09 2010.
  42. B. Garbrecht, G. Rigopoulos, and Y. Zhu, “Infrared correlations in de Sitter space: Field theoretic versus stochastic approach,” Physical Review D, vol. 89, p. 063506, 03 2014.
  43. B. Garbrecht, F. Gautier, G. Rigopoulos, and Y. Zhu, “Feynman diagrams for stochastic inflation and quantum field theory in de Sitter space,” Physical Review D, vol. 91, p. 063520, 03 2015.
  44. I. Moss and G. Rigopoulos, “Effective long wavelength scalar dynamics in de Sitter,” Journal of Cosmology and Astroparticle Physics, vol. 2017, pp. 009–009, 05 2017.
  45. A. Cable and A. Rajantie, “Free scalar correlators in de Sitter space via the stochastic approach beyond the slow-roll approximation,” Physical Review D, vol. 104, p. 103511, 11 2021.
  46. A. Cable and A. Rajantie, “Second-order stochastic theory for self-interacting scalar fields in de Sitter spacetime,” Physical Review D, vol. 106, no. 12, p. 123522, 2022.
  47. T. Cohen, D. Green, A. Premkumar, and A. Ridgway, “Stochastic Inflation at NNLO,” Journal of High Energy Physics, vol. 2021, p. 159, 9 2021.
  48. K. Enqvist, S. Nurmi, D. Podolsky, and G. I. Rigopoulos, “On the divergences of inflationary superhorizon perturbations,” Journal of Cosmology and Astroparticle Physics, vol. 2008, p. 025, 4 2008.
  49. T. Fujita, M. Kawasaki, Y. Tada, and T. Takesako, “A new algorithm for calculating the curvature perturbations in stochastic inflation,” Journal of Cosmology and Astroparticle Physics, vol. 2013, pp. 036–036, 12 2013.
  50. T. Fujita, M. Kawasaki, and Y. Tada, “Non-perturbative approach for curvature perturbations in stochastic δ⁢N𝛿𝑁\delta Nitalic_δ italic_N formalism,” Journal of Cosmology and Astroparticle Physics, vol. 2014, pp. 030–030, 10 2014.
  51. V. Vennin and A. A. Starobinsky, “Correlation functions in stochastic inflation,” European Physical Journal C, vol. 75, no. 9, 2015.
  52. C. Pattison, V. Vennin, H. Assadullahi, and D. Wands, “Quantum diffusion during inflation and primordial black holes,” Journal of Cosmology and Astroparticle Physics, vol. 2017, no. 10, 2017.
  53. C. Pattison, V. Vennin, D. Wands, and H. Assadullahi, “Ultra-slow-roll inflation with quantum diffusion,” Journal of Cosmology and Astroparticle Physics, vol. 2021, p. 080, 4 2021.
  54. G. Rigopoulos and A. Wilkins, “Inflation is always semi-classical: diffusion domination overproduces Primordial Black Holes,” Journal of Cosmology and Astroparticle Physics, vol. 2021, p. 027, 12 2021.
  55. C. Animali and V. Vennin, “Primordial black holes from stochastic tunnelling,” oct 2022.
  56. J. H. P. Jackson, H. Assadullahi, K. Koyama, et al., “Numerical simulations of stochastic inflation using importance sampling,” 6 2022.
  57. E. Tomberg, “Numerical stochastic inflation constrained by frozen noise,” 2022.
  58. E. Tomberg, “Stochastic constant-roll inflation and primordial black holes,” no. 3, pp. 1–10, 2023.
  59. G. Rigopoulos and A. Wilkins, “Computing first-passage times with the functional renormalisation group,” Journal of Cosmology and Astroparticle Physics, vol. 2023, p. 046, apr 2023.
  60. D. S. Salopek and J. R. Bond, “Nonlinear evolution of long-wavelength metric fluctuations in inflationary models,” Physical Review D, vol. 42, no. 12, pp. 3936–3962, 1990.
  61. A. Wilkins, Stochastic Processes in Mesoscale Physics and the Early Universe. PhD thesis, Newcastle University, 2023.
  62. T. Prokopec, G. Rigopoulos, and A. Wilkins, “To appear,” 2023.
  63. S. S. Mishra, E. J. Copeland, and A. M. Green, “Primordial black holes and stochastic inflation beyond slow roll: I – noise matrix elements,” 2023.
  64. B. Carr, K. Kohri, Y. Sendouda, and J. Yokoyama, “Constraints on primordial black holes,” Reports on Progress in Physics, vol. 84, p. 116902, 11 2021.
  65. A. M. Green and B. J. Kavanagh, “Primordial black holes as a dark matter candidate,” Journal of Physics G: Nuclear and Particle Physics, vol. 48, p. 043001, 4 2021.
  66. N. C. Tsamis and R. P. Woodard, “Improved estimates of cosmological perturbations,” Physical Review D, vol. 69, p. 084005, 4 2004.
  67. W. H. Kinney, “Horizon crossing and inflation with large η𝜂\etaitalic_η,” Physical Review D, vol. 72, p. 023515, 7 2005.
  68. M. H. Namjoo, H. Firouzjahi, and M. Sasaki, “Violation of non-Gaussianity consistency relation in a single-field inflationary model,” EPL (Europhysics Letters), vol. 101, p. 39001, 2 2013.
  69. J. Martin, H. Motohashi, and T. Suyama, “Ultra slow-roll inflation and the non-Gaussianity consistency relation,” Physical Review D, vol. 87, p. 023514, 1 2013.
  70. K. Dimopoulos, “Ultra slow-roll inflation demystified,” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 775, pp. 262–265, 2017.
  71. A. Salvio, “Initial conditions for critical Higgs inflation,” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 780, pp. 111–117, 2018.
  72. C. Pattison, V. Vennin, H. Assadullahi, and D. Wands, “The attractive behaviour of ultra-slow-roll inflation,” Journal of Cosmology and Astroparticle Physics, vol. 2018, pp. 048–048, 8 2018.
  73. V. Briaud and V. Vennin, “Uphill inflation,” jan 2023.
  74. S. S. Mishra and V. Sahni, “Primordial black holes from a tiny bump/dip in the inflaton potential,” Journal of Cosmology and Astroparticle Physics, vol. 2020, no. 4, pp. 0–32, 2020.
  75. R. Zheng, J. Shi, and T. Qiu, “On primordial black holes and secondary gravitational waves generated from inflation with solo/multi-bumpy potential *,” Chinese Physics C, vol. 46, p. 045103, apr 2022.
  76. K. Inomata, E. McDonough, and W. Hu, “Primordial black holes arise when the inflaton falls,” Physical Review D, vol. 104, p. 123553, 12 2021.
  77. Y.-F. Cai, X.-H. Ma, M. Sasaki, et al., “Highly non-Gaussian tails and primordial black holes from single-field inflation,” Journal of Cosmology and Astroparticle Physics, vol. 2022, p. 034, dec 2022.
  78. Y. F. Cai, X. H. Ma, M. Sasaki, et al., “One small step for an inflaton, one giant leap for inflation: A novel non-Gaussian tail and primordial black holes,” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 834, pp. 1–7, 2022.
  79. C. T. Byrnes, P. S. Cole, and S. P. Patil, “Steepest growth of the power spectrum and primordial black holes,” Journal of Cosmology and Astroparticle Physics, vol. 2019, pp. 028–028, jun 2019.
  80. P. Carrilho, K. A. Malik, and D. J. Mulryne, “Dissecting the growth of the power spectrum for primordial black holes,” Physical Review D, vol. 100, p. 103529, nov 2019.
  81. G. Tasinato, “Analytic approach to non-slow-roll inflation,” Physical Review D, vol. 103, p. 023535, jan 2021.
  82. G. A. Palma, S. Sypsas, and C. Zenteno, “Seeding Primordial Black Holes in Multifield Inflation,” Physical Review Letters, vol. 125, p. 121301, sep 2020.
  83. J. Fumagalli, S. Renaux-Petel, J. W. Ronayne, and L. T. Witkowski, “Turning in the landscape: A new mechanism for generating primordial black holes,” Physics Letters B, vol. 841, p. 137921, jun 2023.
  84. T. Prokopec and G. Rigopoulos, “Functional renormalization group for stochastic inflation,” Journal of Cosmology and Astroparticle Physics, vol. 2018, no. 8, 2018.
  85. N. Kitajima, Y. Tada, S. Yokoyama, and C.-M. Yoo, “Primordial black holes in peak theory with a non-Gaussian tail,” Journal of Cosmology and Astroparticle Physics, vol. 2021, p. 053, 10 2021.
  86. Y. Tada and V. Vennin, “Statistics of coarse-grained cosmological fields in stochastic inflation,” Journal of Cosmology and Astroparticle Physics, vol. 2022, p. 021, 2 2022.
  87. S. Young, “The primordial black hole formation criterion re-examined: Parametrisation, timing and the choice of window function,” International Journal of Modern Physics D, vol. 29, no. 2, pp. 1–26, 2020.
  88. W. H. Press and P. Schechter, “Formation of Galaxies and Clusters of Galaxies by Self-Similar Gravitational Condensation,” The Astrophysical Journal, vol. 187, p. 425, 2 1974.
  89. I. Musco, “Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations,” Physical Review D, vol. 100, no. 12, pp. 1–18, 2019.
  90. 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,” Journal of Cosmology and Astroparticle Physics, vol. 2019, no. 11, pp. 1–32, 2019.
  91. C. Germani and R. K. Sheth, “Nonlinear statistics of primordial black holes from Gaussian curvature perturbations,” Physical Review D, vol. 101, no. 6, pp. 1–19, 2020.
  92. M. Biagetti, V. De Luca, G. Franciolini, et al., “The formation probability of primordial black holes,” Physics Letters B, vol. 820, p. 136602, 9 2021.
  93. A. D. Gow, C. T. Byrnes, P. S. Cole, and S. Young, “The power spectrum on small scales: Robust constraints and comparing PBH methodologies,” Journal of Cosmology and Astroparticle Physics, vol. 2021, no. 2, 2021.
  94. A. D. Gow, H. Assadullahi, J. H. P. Jackson, et al., “Non-perturbative non-Gaussianity and primordial black holes,” pp. 1–11, nov 2022.
  95. G. Ferrante, G. Franciolini, A. J. Iovino, and A. Urbano, “Primordial non-Gaussianity up to all orders: Theoretical aspects and implications for primordial black hole models,” Physical Review D, vol. 107, no. 4, pp. 1–35, 2023.
  96. H. Assadullahi, H. Firouzjahi, M. Noorbala, et al., “Multiple fields in stochastic inflation,” Journal of Cosmology and Astroparticle Physics, vol. 2016, no. 6, 2016.
  97. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry. Elsevier, 2007.
  98. W. Pauli, Wave Mechanics: Volume 5 of Pauli Lectures on Physics. Dover Publications, 2000.
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