- 
								[1]
								S. Hawking, Mon. Not. Roy. Astron. Soc. 152, 75 (1971) 
- 
								[2]
								B. J. Carr and S. W. Hawking, Mon. Not. Roy. Astron. Soc. 168, 399-415 (1974) 
- 
								[3]
								J. E. Grindlay, H. F. Helmken, R. H. Brown et al., Astrophys. J. 201, 82-89 (1975) 
- 
								[4]
								P. Ivanov, P. Naselsky, and I. Novikov, Phys. Rev. D 50, 7173-7178 (1994) 
- 
								[5]
								B. Carr, F. Kuhnel, and M. Sandstad, Phys. Rev. D 94(8), 083504 (2016), arXiv:1607.06077[astro-ph.CO 
- 
								[6]
								D. Gaggero, G. Bertone, F. Calore et al., Phys. Rev. Lett. 118(24), 241101 (2017), arXiv:1612.00457[astro-ph.HE 
- 
								[7]
								K. Inomata, M. Kawasaki, K. Mukaida et al., Phys. Rev. D 96(4), 043504 (2017), arXiv:1701.02544[astro-ph.CO 
- 
								[8]
								E. D. Kovetz, Phys. Rev. Lett. 119(13), 131301 (2017), arXiv:1705.09182[astro-ph.CO 
- 
								[9]
								J. Georg and S. Watson, JHEP 09, 138 (2017), arXiv:1703.04825[astro-ph.CO 
- 
								[10]
								B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Phys. Rev. Lett. 116(6), 061102 (2016), arXiv:1602.03837[gr-qc 
- 
								[11]
								B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Phys. Rev. Lett. 116(13), 131103 (2016), arXiv:1602.03838[gr-qc 
- 
								[12]
								B. P. Abbott et al.(LIGO Scientific Collaboration and Virgo Collaboration) Phys. Rev. Lett.118, 221101 (2017), [Erratum: Phys. Rev. Lett. 121, 129901 (2018)], arXiv: 1706.01812 
- 
								[13]
								S. Bird, I. Cholis, J. B. Muñoz et al., Phys. Rev. Lett. 116(20), 201301 (2016), arXiv:1603.00464[astro-ph.CO 
- 
								[14]
								M. Sasaki, T. Suyama, T. Tanaka et al., Phys. Rev. Lett.117, 061101 (2016), [Erratum: Phys. Rev. Lett. 121, 059901 (2018)], arXiv: 1603.08338 
- 
								[15]
								J. Garcia-Bellido, A. D. Linde, and D. Wands, Phys. Rev. D 54, 6040-6058 (1996), arXiv:astro-ph/9605094[astro-ph 
- 
								[16]
								J. Garcia-Bellido and E. Ruiz Morales, Phys. Dark Univ. 18, 47-54 (2017), arXiv:1702.03901[astro-ph.CO 
- 
								[17]
								V. Domcke, F. Muia, M. Pieroni et al., JCAP 07, 048 (2017), arXiv:1704.03464[astro-ph.CO 
- 
								[18]
								K. Kannike, L. Marzola, M. Raidal et al., JCAP 09, 020 (2017), arXiv:1705.06225[astro-ph.CO 
- 
								[19]
								B. Carr, T. Tenkanen, and V. Vaskonen, Phys. Rev. D 96(6), 063507 (2017), arXiv:1706.03746[astro-ph.CO 
- 
								[20]
								G. Ballesteros and M. Taoso, Phys. Rev. D 97(2), 023501 (2018), arXiv:1709.05565[hep-ph 
- 
								[21]
								M. P. Hertzberg and M. Yamada, Phys. Rev. D 97(8), 083509 (2018), arXiv:1712.09750[astro-ph.CO 
- 
								[22]
								G. Franciolini, A. Kehagias, S. Matarrese et al., JCAP 03, 016 (2018), arXiv:1801.09415[astro-ph.CO 
- 
								[23]
								K. Kohri and T. Terada, Class. Quant. Grav. 35(23), 235017 (2018), arXiv:1802.06785[astro-ph.CO 
- 
								[24]
								O. Özsoy, S. Parameswaran, G. Tasinato et al., JCAP 07, 005 (2018), arXiv:1803.07626[hep-th 
- 
								[25]
								M. Biagetti, G. Franciolini, A. Kehagias et al., JCAP 07, 032 (2018), arXiv:1804.07124[astro-ph.CO 
- 
								[26]
								K. M. Belotsky, A. D. Dmitriev, E. A. Esipova et al., Mod. Phys. Lett. A 29(37), 1440005 (2014), arXiv:1410.0203[astro-ph.CO 
- 
								[27]
								M. Y. Khlopov, Res. Astron. Astrophys. 10, 495-528 (2010), arXiv:0801.0116[astro-ph 
- 
								[28]
								J. Martin, H. Motohashi, and T. Suyama, Phys. Rev. D 87(2), 023514 (2013), arXiv:1211.0083[astro-ph.CO 
- 
								[29]
								H. Motohashi, A. A. Starobinsky, and J. Yokoyama, JCAP 09, 018 (2015), arXiv:1411.5021[astro-ph.CO 
- 
								[30]
								C. Germani and T. Prokopec, Phys. Dark Univ. 18, 6-10 (2017), arXiv:1706.04226[astro-ph.CO 
- 
								[31]
								H. Motohashi and W. Hu, Phys. Rev. D 96(6), 063503 (2017), arXiv:1706.06784[astro-ph.CO 
- 
								[32]
								J. M. Ezquiaga, J. Garcia-Bellido, and E. Ruiz Morales, Phys. Lett. B 776, 345-349 (2018), arXiv:1705.04861[astro-ph.CO 
- 
								[33]
								G. Ballesteros, J. Beltran Jimenez, and M. Pieroni, JCAP 06, 016 (2019), arXiv:1811.03065[astro-ph.CO 
- 
								[34]
								S. Passaglia, W. Hu, and H. Motohashi, Phys. Rev. D 99(4), 043536 (2019), arXiv:1812.08243[astro-ph.CO 
- 
								[35]
								M. Sasaki, T. Suyama, T. Tanaka et al., Class. Quant. Grav. 35(6), 063001 (2018), arXiv:1801.05235[astro-ph.CO 
- 
								[36]
								C. Fu, P. Wu, and H. Yu, Phys. Rev. D 100(6), 063532 (2019), arXiv:1907.05042[astro-ph.CO 
- 
								[37]
								C. Fu, P. Wu, and H. Yu, Phys. Rev. D 101(2), 023529 (2020), arXiv:1912.05927[astro-ph.CO 
- 
								[38]
								I. Dalianis, S. Karydas, and E. Papantonopoulos, JCAP 06, 040 (2020), arXiv:1910.00622[astro-ph.CO 
- 
								[39]
								J. Lin, Q. Gao, Y. Gong et al., Phys. Rev. D 101(10), 103515 (2020), arXiv:2001.05909[gr-qc 
- 
								[40]
								M. Braglia, D. K. Hazra, F. Finelli et al., JCAP 08, 001 (2020), arXiv:2005.02895[astro-ph.CO 
- 
								[41]
								A. Gundhi and C. F. Steinwachs, Eur. Phys. J. C 81(5), 460 (2021), arXiv:2011.09485[hep-th 
- 
								[42]
								D. Y. Cheong, S. M. Lee, and S. C. Park, JCAP 01, 032 (2021), arXiv:1912.12032[hep-ph 
- 
								[43]
								C. Armendariz-Picon, T. Damour, and V. F. Mukhanov, Phys. Lett. B 458, 209-218 (1999), arXiv:hep-th/9904075[hep-th 
- 
								[44]
								J. Garriga and V. F. Mukhanov, Phys. Lett. B 458, 219-225 (1999), arXiv:hep-th/9904176[hep-th 
- 
								[45]
								T. Kobayashi, M. Yamaguchi, and J. Yokoyama, Phys. Rev. Lett. 105, 231302 (2010), arXiv:1008.0603[hep-th 
- 
								[46]
								T. Kobayashi, M. Yamaguchi, and J. Yokoyama, Prog. Theor. Phys. 126, 511-529 (2011), arXiv:1105.5723[hep-th 
- 
								[47]
								Y. F. Cai, X. Tong, D. G. Wang et al., Phys. Rev. Lett. 121(8), 081306 (2018), arXiv:1805.03639[astro-ph.CO 
- 
								[48]
								Y. F. Cai, C. Chen, X. Tong et al., Phys. Rev. D 100(4), 043518 (2019), arXiv:1902.08187[astro-ph.CO 
- 
								[49]
								C. Chen, X. H. Ma, and Y. F. Cai, Phys. Rev. D 102(6), 063526 (2020), arXiv:2003.03821[astro-ph.CO 
- 
								[50]
								C. Chen and Y. F. Cai, JCAP 10, 068 (2019), arXiv:1908.03942[astro-ph.CO 
- 
								[51]
								A. Y. Kamenshchik, A. Tronconi, T. Vardanyan et al., Phys. Lett. B 791, 201-205 (2019), arXiv:1812.02547[gr-qc 
- 
								[52]
								R. G. Cai, Z. K. Guo, J. Liu et al., JCAP 06, 013 (2020), arXiv:1912.10437[astro-ph.CO 
- 
								[53]
								Q. Wang, Y. C. Liu, B. Y. Su et al., Phys. Rev. D 104(8), 083546 (2021), arXiv:2111.10028[astro-ph.CO 
- 
								[54]
								K. Enqvist and M. S. Sloth, Nucl. Phys. B 626, 395 (2002), arXiv:[hep-ph/0109214 
- 
								[55]
								D. H. Lyth and D. Wands, Phys. Lett. B 524, 5 (2002), arXiv:[hep-ph/0110002 
- 
								[56]
								T. Moroi and T. Takahashi, Phys. Lett. B522, 215 (2001), [Erratum: Phys. Lett. B 539, 303 (2002)], arXiv: hep-ph/0110096 
- 
								[57]
								J. O. Gong, N. Kitajima, and T. Terada, JCAP 1703, 053 (2017), arXiv:1611.08975[hep-ph 
- 
								[58]
								M. Kawasaki, N. Kitajima, and T. T. Yanagida, Phys. Rev. D 87, 6 (2013), arXiv:1207.2550[hep-ph 
- 
								[59]
								K. Ando, M. Kawasaki, and H. Nakatsuka, Phys. Rev. D 98, 8 (2018), arXiv:1805.07757[astro-ph.CO 
- 
								[60]
								J. H. Traschen and R. H. Brandenberger, Phys. Rev. D 42, 2491 (1990) 
- 
								[61]
								L. Kofman, A. D. Linde, and A. A. Starobinsky, Phys. Rev. Lett. 73, 3195 (1994), arXiv:[hep-th/9405187 
- 
								[62]
								Y. Shtanov, J. H. Traschen, and R. H. Brandenberger, Phys. Rev. D 51, 5438 (1995), arXiv:[hep-ph/9407247 
- 
								[63]
								T. Prokopec and T. G. Roos, Phys. Rev. D 55, 3768 (1997), arXiv:[hep-ph/9610400 
- 
								[64]
								B. R. Greene, T. Prokopec, and T. G. Roos, Phys. Rev. D 56, 6484 (1997), arXiv:[hep-ph/9705357 
- 
								[65]
								L. Kofman, A. D. Linde, and A. A. Starobinsky, Phys. Rev. D 56, 3258 (1997), arXiv:[hep-ph/9704452 
- 
								[66]
								P. B. Greene, L. Kofman, A. D. Linde et al., Phys. Rev. D 56, 6175 (1997), arXiv:[hep-ph/9705347 
- 
								[67]
								L. H. Liu and T. Prokopec, JCAP 06, 033 (2021), arXiv:2005.11069[astro-ph.CO 
- 
								[68]
								R. G. Cai, C. Chen, and C. Fu, Phys. Rev. D 104(8), 083537 (2021), arXiv:2108.03422[astro-ph.CO 
- 
								[69]
								K. Carrion, J. C. Hidalgo, A. Montiel et al., JCAP 07, 001 (2021), arXiv:2101.02156[astro-ph.CO 
- 
								[70]
								T. Moroi and T. Takahashi, Phys. Rev. D 72, 023505 (2005), arXiv:astro-ph/0505339[astro-ph 
- 
								[71]
								Y. Akrami et al. (Planck Collaboration), Astron. Astrophys. 641, 61 (2020) 
- 
								[72]
								D. Baumann, TASI Lectures on Inflation, arXiv: 0907.5424[hep-th] 
- 
								[73]
								B. J. Carr, Astrophys. J. 201, 1-19 (1975) 
- 
								[74]
								Y. Tada and S. Yokoyama, Phys. Rev. D 100(2), 023537 (2019), arXiv:1904.10298[astro-ph.CO 
- 
								[75]
								S. Young, C. T. Byrnes, and M. Sasaki, JCAP 07, 045 (2014), arXiv:1405.7023[gr-qc 
- 
								[76]
								I. Musco and J. C. Miller, Class. Quant. Grav. 30, 145009 (2013), arXiv:1201.2379[gr-qc 
- 
								[77]
								T. Harada, C. M. Yoo, and K. Kohri, Phys. Rev. D 88, 084051 (2013), [Erratum: Phys. Rev. D 89, 029903 (2014)], arXiv: 1309.4201[astro-ph.CO] 
- 
								[78]
								J. Martin, T. Papanikolaou, and V. Vennin, JCAP 01, 024 (2020), arXiv:1907.04236[astro-ph.CO 
- 
								[79]
								J. C. Hidalgo, J. De Santiago, G. German et al., Phys. Rev. D 96(6), 063504 (2017), arXiv:1705.02308[astro-ph.CO 
- 
								[80]
								A. Escrivà, C. Germani, and R. K. Sheth, Phys. Rev. D 101(4), 044022 (2020), arXiv:1907.13311[gr-qc 
- 
								[81]
								A. Escrivà, C. Germani, and R. K. Sheth, JCAP 01, 030 (2021), arXiv:2007.05564[gr-qc 
- 
								[82]
								H. Niikura, M. Takada, S. Yokoyama et al., Phys. Rev. D 99(8), 083503 (2019), arXiv:1901.07120[astro-ph.CO 
- 
								[83]
								B. J. Carr, K. Kohri, Y. Sendouda et al., Phys. Rev. D 81, 104019 (2010), arXiv:0912.5297[astro-ph.CO 
- 
								[84]
								P. W. Graham, S. Rajendran, and J. Varela, Phys. Rev. D 92, 063007 (2015) 
- 
								[85]
								R. Laha, Phys. Rev. Lett. 123(25), 251101 (2019), arXiv:1906.09994[astro-ph.HE 
- 
								[86]
								B. Dasgupta, R. Laha, and A. Ray, Phys. Rev. Lett. 125(10), 101101 (2020), arXiv:1912.01014[hep-ph 
- 
								[87]
								A. Acharyya, I. Agudo, E. O. Angüner et al., Astropart. Phys. 111, 35-53 (2019), arXiv:1904.01426[astro-ph.IM 
- 
								[88]
								K. Griest, A. M. Cieplak, and M. J. Lehner, Phys. Rev. Lett. 111(18), 181302 (2013) 
- 
								[89]
								P. Tisserand et al. (The EROS-2 Collaboration)), Astron. Astrophys. 469, 387-404 (2007), arXiv:astro-ph/0607207[astro-ph 
- 
								[90]
								Y. Ali-Haïmoud and M. Kamionkowski, Phys. Rev. D 95(4), 043534 (2017), arXiv:1612.05644[astro-ph.CO 
- 
								[91]
								G. Hütsi, M. Raidal, V. Vaskonen et al., JCAP 03, 068 (2021), arXiv:2012.02786[astro-ph.CO 
- 
								[92]
								B. Carr, K. Kohri, Y. Sendouda et al., Rep. Prog. Phys. 84, 116902 (2021) 
- 
								[93]
								L. H. Liu, T. Prokopec, and A. A. Starobinsky, Phys. Rev. D 98(4), 043505 (2018), arXiv:1806.05407[gr-qc 
- 
								[94]
								E. Torres-Lomas, J. C. Hidalgo, K. A. Malik et al., Phys. Rev. D 89(8), 083008 (2014), arXiv:1401.6960[astro-ph.CO 
- 
								[95]
								T. Suyama, T. Tanaka, B. Bassett et al., Phys. Rev. D 71, 063507 (2005), arXiv:hep-ph/0410247[hep-ph 
- 
								[96]
								L. H. Liu, B. Liang, Y. C. Zhou et al., Phys. Rev. D 103(6), 063515 (2021), arXiv:2007.08278[astro-ph.CO