Abstract
We study the generation of a large power spectrum, necessary for primordial black hole formation, within the effective theory of single-field inflation. The mechanisms we consider include a transition into a ghost-inflation-like phase and scenarios where an exponentially growing mode is temporarily turned on. In the cases we discuss, the enhancement in the power spectrum results from either a swift change in some effective coupling or a modification of the dispersion relation for the perturbations, while the background evolution remains unchanged and approximately de Sitter throughout inflation. The robustness of the results is guaranteed thanks to a weakly broken galileon symmetry, which protects the effective couplings against large quantum corrections. We discuss how the enhancement of the power spectrum is related to the energy scale of the operators with weakly broken galileon invariance, and study the limits imposed by strong coupling and the validity of the perturbative expansion.
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References
B. J. Carr and J. E. Lidsey, Primordial black holes and generalized constraints on chaotic inflation, Phys. Rev. D 48 (1993) 543 [INSPIRE].
P. Ivanov, P. Naselsky and I. Novikov, Inflation and primordial black holes as dark matter, Phys. Rev. D 50 (1994) 7173 [INSPIRE].
J. García-Bellido and E. Ruiz Morales, Primordial black holes from single field models of inflation, Phys. Dark Univ. 18 (2017) 47 [arXiv:1702.03901] [INSPIRE].
G. Ballesteros and M. Taoso, Primordial black hole dark matter from single field inflation, Phys. Rev. D 97 (2018) 023501 [arXiv:1709.05565] [INSPIRE].
M. Cicoli, V. A. Diaz and F. G. Pedro, Primordial black holes from string inflation, JCAP 06 (2018) 034 [arXiv:1803.02837] [INSPIRE].
O. Özsoy, S. Parameswaran, G. Tasinato and I. Zavala, Mechanisms for primordial black hole production in string theory, JCAP 07 (2018) 005 [arXiv:1803.07626] [INSPIRE].
S. S. Mishra and V. Sahni, Primordial black holes from a tiny bump/dip in the inflaton potential, JCAP 04 (2020) 007 [arXiv:1911.00057] [INSPIRE].
G. Ballesteros, J. Rey and F. Rompineve, Detuning primordial black hole dark matter with early matter domination and axion monodromy, JCAP 06 (2020) 014 [arXiv:1912.01638] [INSPIRE].
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 (2020) 025 [arXiv:2001.08220] [INSPIRE].
C. Germani and T. Prokopec, On primordial black holes from an inflection point, Phys. Dark Univ. 18 (2017) 6 [arXiv:1706.04226] [INSPIRE].
H. Motohashi and W. Hu, Primordial black holes and slow-roll violation, Phys. Rev. D 96 (2017) 063503 [arXiv:1706.06784] [INSPIRE].
G. Ballesteros, J. Beltran Jimenez and M. Pieroni, Black hole formation from a general quadratic action for inflationary primordial fluctuations, JCAP 06 (2019) 016 [arXiv:1811.03065] [INSPIRE].
G. A. Palma, S. Sypsas and C. Zenteno, Seeding primordial black holes in multifield inflation, Phys. Rev. Lett. 125 (2020) 121301 [arXiv:2004.06106] [INSPIRE].
J. Fumagalli, S. Renaux-Petel, J. W. Ronayne and L. T. Witkowski, Turning in the landscape: a new mechanism for generating Primordial Black Holes, arXiv:2004.08369 [INSPIRE].
P. Creminelli, M. A. Luty, A. Nicolis and L. Senatore, Starting the universe: stable violation of the null energy condition and non-standard cosmologies, JHEP 12 (2006) 080 [hep-th/0606090] [INSPIRE].
C. Cheung, P. Creminelli, A. L. Fitzpatrick, J. Kaplan and L. Senatore, The effective field theory of inflation, JHEP 03 (2008) 014 [arXiv:0709.0293] [INSPIRE].
A. M. Green and B. J. Kavanagh, Primordial black holes as a dark matter candidate, J. Phys. G 48 (2021) 043001 [arXiv:2007.10722] [INSPIRE].
B. Carr, K. Kohri, Y. Sendouda and J. Yokoyama, Constraints on primordial black holes, Rept. Prog. Phys. 84 (2021) 116902 [arXiv:2002.12778] [INSPIRE].
C. Armendariz-Picon, T. Damour and V. F. Mukhanov, k-inflation, Phys. Lett. B 458 (1999) 209 [hep-th/9904075] [INSPIRE].
N. Arkani-Hamed, P. Creminelli, S. Mukohyama and M. Zaldarriaga, Ghost inflation, JCAP 04 (2004) 001 [hep-th/0312100] [INSPIRE].
D. Pirtskhalava, L. Santoni, E. Trincherini and F. Vernizzi, Weakly broken galileon symmetry, JCAP 09 (2015) 007 [arXiv:1505.00007] [INSPIRE].
L. Santoni, E. Trincherini and L. G. Trombetta, Behind Horndeski: structurally robust higher derivative EFTs, JHEP 08 (2018) 118 [arXiv:1806.10073] [INSPIRE].
S. Garcia-Saenz, S. Renaux-Petel and J. Ronayne, Primordial fluctuations and non-Gaussianities in sidetracked inflation, JCAP 07 (2018) 057 [arXiv:1804.11279] [INSPIRE].
S. Garcia-Saenz and S. Renaux-Petel, Flattened non-Gaussianities from the effective field theory of inflation with imaginary speed of sound, JCAP 11 (2018) 005 [arXiv:1805.12563] [INSPIRE].
J. Fumagalli, S. Garcia-Saenz, L. Pinol, S. Renaux-Petel and J. Ronayne, Hyper-non-Gaussianities in inflation with strongly nongeodesic motion, Phys. Rev. Lett. 123 (2019) 201302 [arXiv:1902.03221] [INSPIRE].
T. Bjorkmo, R. Z. Ferreira and M. C. D. Marsh, Mild non-Gaussianities under perturbative control from rapid-turn inflation models, JCAP 12 (2019) 036 [arXiv:1908.11316] [INSPIRE].
R. Z. Ferreira, Non-Gaussianities in models of inflation with large and negative entropic masses, JCAP 08 (2020) 034 [arXiv:2003.13410] [INSPIRE].
J. Fumagalli, S. Renaux-Petel and L. T. Witkowski, Oscillations in the stochastic gravitational wave background from sharp features and particle production during inflation, JCAP 08 (2021) 030 [arXiv:2012.02761] [INSPIRE].
N. Arkani-Hamed, H.-C. Cheng, M. A. Luty and S. Mukohyama, Ghost condensation and a consistent infrared modification of gravity, JHEP 05 (2004) 074 [hep-th/0312099] [INSPIRE].
D. Baumann and D. Green, Equilateral non-Gaussianity and new physics on the horizon, JCAP 09 (2011) 014 [arXiv:1102.5343] [INSPIRE].
J. M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models, JHEP 05 (2003) 013 [astro-ph/0210603] [INSPIRE].
D. Pirtskhalava, L. Santoni, E. Trincherini and F. Vernizzi, Large non-Gaussianity in slow-roll inflation, JHEP 04 (2016) 117 [arXiv:1506.06750] [INSPIRE].
L. Senatore, K. M. Smith and M. Zaldarriaga, Non-Gaussianities in single field inflation and their optimal limits from the WMAP 5-year data, JCAP 01 (2010) 028 [arXiv:0905.3746] [INSPIRE].
G. Ballesteros, J. Rey, M. Taoso and A. Urbano, Stochastic inflationary dynamics beyond slow-roll and consequences for primordial black hole formation, JCAP 08 (2020) 043 [arXiv:2006.14597] [INSPIRE].
C. T. Byrnes, P. S. Cole and S. P. Patil, Steepest growth of the power spectrum and primordial black holes, JCAP 06 (2019) 028 [arXiv:1811.11158] [INSPIRE].
L. Senatore, Tilted ghost inflation, Phys. Rev. D 71 (2005) 043512 [astro-ph/0406187] [INSPIRE].
G. Panagopoulos and E. Silverstein, Primordial black holes from non-Gaussian tails, arXiv:1906.02827 [INSPIRE].
J. M. Ezquiaga, J. García-Bellido and V. Vennin, The exponential tail of inflationary fluctuations: consequences for primordial black holes, JCAP 03 (2020) 029 [arXiv:1912.05399] [INSPIRE].
D. G. Figueroa, S. Raatikainen, S. Rasanen and E. Tomberg, Non-Gaussian tail of the curvature perturbation in stochastic ultraslow-roll inflation: implications for primordial black hole production, Phys. Rev. Lett. 127 (2021) 101302 [arXiv:2012.06551] [INSPIRE].
C. Pattison, V. Vennin, D. Wands and H. Assadullahi, Ultra-slow-roll inflation with quantum diffusion, JCAP 04 (2021) 080 [arXiv:2101.05741] [INSPIRE].
M. Celoria, P. Creminelli, G. Tambalo and V. Yingcharoenrat, Beyond perturbation theory in inflation, JCAP 06 (2021) 051 [arXiv:2103.09244] [INSPIRE].
M. Biagetti, V. De Luca, G. Franciolini, A. Kehagias and A. Riotto, The formation probability of primordial black holes, Phys. Lett. B 820 (2021) 136602 [arXiv:2105.07810] [INSPIRE].
S. Weinberg, Quantum contributions to cosmological correlations, Phys. Rev. D 72 (2005) 043514 [hep-th/0506236] [INSPIRE].
D. Pirtskhalava, L. Santoni and E. Trincherini, Constraints on single-field Inflation, JCAP 06 (2016) 051 [arXiv:1511.01817] [INSPIRE].
R. Holman and A. J. Tolley, Enhanced non-Gaussianity from excited initial states, JCAP 05 (2008) 001 [arXiv:0710.1302] [INSPIRE].
G. Panagopoulos and E. Silverstein, Multipoint correlators in multifield cosmology, arXiv:2003.05883 [INSPIRE].
L. Senatore and M. Zaldarriaga, On loops in inflation, JHEP 12 (2010) 008 [arXiv:0912.2734] [INSPIRE].
S. Melville and E. Pajer, Cosmological cutting rules, JHEP 05 (2021) 249 [arXiv:2103.09832] [INSPIRE].
M. Braglia, X. Chen and D. K. Hazra, Probing primordial features with the stochastic gravitational wave background, JCAP 03 (2021) 005 [arXiv:2012.05821] [INSPIRE].
M. Libanov, S. Mironov and V. Rubakov, Generalized Galileons: instabilities of bouncing and Genesis cosmologies and modified Genesis, JCAP 08 (2016) 037 [arXiv:1605.05992] [INSPIRE].
T. Kobayashi, Generic instabilities of nonsingular cosmologies in Horndeski theory: a no-go theorem, Phys. Rev. D 94 (2016) 043511 [arXiv:1606.05831] [INSPIRE].
D. Pirtskhalava, L. Santoni, E. Trincherini and P. Uttayarat, Inflation from Minkowski Space, JHEP 12 (2014) 151 [arXiv:1410.0882] [INSPIRE].
P. Creminelli, D. Pirtskhalava, L. Santoni and E. Trincherini, Stability of geodesically complete cosmologies, JCAP 11 (2016) 047 [arXiv:1610.04207] [INSPIRE].
Y. Cai, Y. Wan, H.-G. Li, T. Qiu and Y.-S. Piao, The effective field theory of nonsingular cosmology, JHEP 01 (2017) 090 [arXiv:1610.03400] [INSPIRE].
J.-W. Chen, J. Liu, H.-L. Xu and Y.-F. Cai, Tracing primordial black holes in nonsingular bouncing cosmology, Phys. Lett. B 769 (2017) 561 [arXiv:1609.02571] [INSPIRE].
G. Goon, K. Hinterbichler, A. Joyce and M. Trodden, Aspects of Galileon non-renormalization, JHEP 11 (2016) 100 [arXiv:1606.02295] [INSPIRE].
A. Nicolis, R. Rattazzi and E. Trincherini, The Galileon as a local modification of gravity, Phys. Rev. D 79 (2009) 064036 [arXiv:0811.2197] [INSPIRE].
M. A. Luty, M. Porrati and R. Rattazzi, Strong interactions and stability in the DGP model, JHEP 09 (2003) 029 [hep-th/0303116] [INSPIRE].
J. Noller, L. Santoni, E. Trincherini and L. G. Trombetta, Black Hole ringdown as a probe for dark energy, Phys. Rev. D 101 (2020) 084049 [arXiv:1911.11671] [INSPIRE].
J. Gleyzes, D. Langlois, F. Piazza and F. Vernizzi, Essential building blocks of dark energy, JCAP 08 (2013) 025 [arXiv:1304.4840].
C. Deffayet, O. Pujolàs, I. Sawicki and A. Vikman, Imperfect dark energy from kinetic gravity braiding, JCAP 10 (2010) 026 [arXiv:1008.0048] [INSPIRE].
N. Arkani-Hamed and J. Maldacena, Cosmological collider physics, arXiv:1503.08043 [INSPIRE].
E. Pajer, Building a boostless bootstrap for the bispectrum, JCAP 01 (2021) 023 [arXiv:2010.12818] [INSPIRE].
M. Taoso and A. Urbano, Non-Gaussianities for primordial black hole formation, JCAP 08 (2021) 016 [arXiv:2102.03610] [INSPIRE].
A. Achucarro, J.-O. Gong, S. Hardeman, G. A. Palma and S. P. Patil, Features of heavy physics in the CMB power spectrum, JCAP 01 (2011) 030 [arXiv:1010.3693] [INSPIRE].
S. Cespedes, V. Atal and G. A. Palma, On the importance of heavy fields during inflation, JCAP 05 (2012) 008 [arXiv:1201.4848] [INSPIRE].
A. Achucarro, J.-O. Gong, S. Hardeman, G. A. Palma and S. P. Patil, Effective theories of single field inflation when heavy fields matter, JHEP 05 (2012) 066 [arXiv:1201.6342] [INSPIRE].
A. Achucarro, V. Atal, S. Cespedes, J.-O. Gong, G. A. Palma and S. P. Patil, Heavy fields, reduced speeds of sound and decoupling during inflation, Phys. Rev. D 86 (2012) 121301 [arXiv:1205.0710] [INSPIRE].
C. Gordon, D. Wands, B. A. Bassett and R. Maartens, Adiabatic and entropy perturbations from inflation, Phys. Rev. D 63 (2000) 023506 [astro-ph/0009131] [INSPIRE].
S. Groot Nibbelink and B. J. W. van Tent, Density perturbations arising from multiple field slow roll inflation, hep-ph/0011325 [INSPIRE].
S. Groot Nibbelink and B. J. W. van Tent, Scalar perturbations during multiple field slow-roll inflation, Class. Quant. Grav. 19 (2002) 613 [hep-ph/0107272] [INSPIRE].
A. Achucarro, J.-O. Gong, S. Hardeman, G. A. Palma and S. P. Patil, Mass hierarchies and non-decoupling in multi-scalar field dynamics, Phys. Rev. D 84 (2011) 043502 [arXiv:1005.3848] [INSPIRE].
R. Gwyn, G. A. Palma, M. Sakellariadou and S. Sypsas, Effective field theory of weakly coupled inflationary models, JCAP 04 (2013) 004 [arXiv:1210.3020] [INSPIRE].
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Ballesteros, G., Céspedes, S. & Santoni, L. Large power spectrum and primordial black holes in the effective theory of inflation. J. High Energ. Phys. 2022, 74 (2022). https://doi.org/10.1007/JHEP01(2022)074
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DOI: https://doi.org/10.1007/JHEP01(2022)074