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Cascades of high-energy SM particles in the primordial thermal plasma

Published 24 Aug 2022 in hep-ph and astro-ph.CO | (2208.11708v3)

Abstract: High-energy standard model (SM) particles in the early Universe are generated by the decay of heavy long-lived particles. The subsequent thermalization occurs through the splitting of high-energy primary particles into lower-energy daughters in primordial thermal plasma. The principal example of such processes is reheating after inflation caused by the decay of inflatons into SM particles. Understanding of the thermalization at reheating is extremely important as it reveals the origin of the hot Universe, and could open up new mechanisms for generating dark matter and/or baryon asymmetry. In this paper, we investigate the thermalization of high-energy SM particles in thermal plasma, taking into account the Landau--Pomeranchuk--Migdal effect in the leading-log approximation. The whole SM particle content and all the relevant SM interactions are included for the first time, i.e., the full gauge interactions of SU(3)$_c\times$SU(2)$_L\times$U(1)$_Y$ and the top Yukawa interaction. The distribution function of each SM species is computed both numerically and analytically. We have analytically obtained the distribution function of each SM species after the first few splittings. Furthermore, we demonstrate that, after a sufficient number of splittings, the particle distributions are asymptotic to certain values at low momentum, independent of the high-energy particles injected by inflaton decay. The results are useful to calculate the DM abundance produced during the pre-thermal phase. An example is provided to illustrate a way to calculate the DM abundance from the scattering between the thermal plasma and high-energy particles in the cascade.

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References (90)
  1. A. A. Penzias and R. W. Wilson, “A Measurement of excess antenna temperature at 4080-Mc/s,” Astrophys. J. 142 (1965) 419–421.
  2. J. C. Mather et al., “Measurement of the Cosmic Microwave Background spectrum by the COBE FIRAS instrument,” Astrophys. J. 420 (1994) 439–444.
  3. D. N. Schramm and M. S. Turner, “Big Bang Nucleosynthesis Enters the Precision Era,” Rev. Mod. Phys. 70 (1998) 303–318, arXiv:astro-ph/9706069.
  4. M. Kawasaki, K. Kohri, and N. Sugiyama, “Cosmological constraints on late time entropy production,” Phys. Rev. Lett. 82 (1999) 4168, arXiv:astro-ph/9811437.
  5. M. Kawasaki, K. Kohri, and N. Sugiyama, “MeV scale reheating temperature and thermalization of neutrino background,” Phys. Rev. D 62 (2000) 023506, arXiv:astro-ph/0002127.
  6. G. F. Giudice, E. W. Kolb, and A. Riotto, “Largest temperature of the radiation era and its cosmological implications,” Phys. Rev. D 64 (2001) 023508, arXiv:hep-ph/0005123.
  7. S. Hannestad, “What is the lowest possible reheating temperature?,” Phys. Rev. D 70 (2004) 043506, arXiv:astro-ph/0403291.
  8. K. Ichikawa, M. Kawasaki, and F. Takahashi, “The Oscillation effects on thermalization of the neutrinos in the Universe with low reheating temperature,” Phys. Rev. D 72 (2005) 043522, arXiv:astro-ph/0505395.
  9. P. F. de Salas, M. Lattanzi, G. Mangano, G. Miele, S. Pastor, and O. Pisanti, “Bounds on very low reheating scenarios after Planck,” Phys. Rev. D 92 no. 12, (2015) 123534, arXiv:1511.00672 [astro-ph.CO].
  10. T. Hasegawa, N. Hiroshima, K. Kohri, R. S. L. Hansen, T. Tram, and S. Hannestad, “MeV-scale reheating temperature and thermalization of oscillating neutrinos by radiative and hadronic decays of massive particles,” JCAP 12 (2019) 012, arXiv:1908.10189 [hep-ph].
  11. A. H. Guth, “The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems,” Phys. Rev. D 23 (1981) 347–356.
  12. A. A. Starobinsky, “A New Type of Isotropic Cosmological Models Without Singularity,” Phys. Lett. B 91 (1980) 99–102.
  13. K. Sato, “First Order Phase Transition of a Vacuum and Expansion of the Universe,” Mon. Not. Roy. Astron. Soc. 195 (1981) 467–479.
  14. J. H. Traschen and R. H. Brandenberger, “Particle Production During Out-of-equilibrium Phase Transitions,” Phys. Rev. D 42 (1990) 2491–2504.
  15. L. Kofman, A. D. Linde, and A. A. Starobinsky, “Reheating after inflation,” Phys. Rev. Lett. 73 (1994) 3195–3198, arXiv:hep-th/9405187.
  16. Y. Shtanov, J. H. Traschen, and R. H. Brandenberger, “Universe reheating after inflation,” Phys. Rev. D 51 (1995) 5438–5455, arXiv:hep-ph/9407247.
  17. L. Kofman, A. D. Linde, and A. A. Starobinsky, “Towards the theory of reheating after inflation,” Phys. Rev. D 56 (1997) 3258–3295, arXiv:hep-ph/9704452.
  18. K. Mukaida and K. Nakayama, “Dynamics of oscillating scalar field in thermal environment,” JCAP 01 (2013) 017, arXiv:1208.3399 [hep-ph].
  19. K. Mukaida and K. Nakayama, “Dissipative Effects on Reheating after Inflation,” JCAP 03 (2013) 002, arXiv:1212.4985 [hep-ph].
  20. G. D. Coughlan, W. Fischler, E. W. Kolb, S. Raby, and G. G. Ross, “Cosmological Problems for the Polonyi Potential,” Phys. Lett. B 131 (1983) 59–64.
  21. B. de Carlos, J. A. Casas, F. Quevedo, and E. Roulet, “Model independent properties and cosmological implications of the dilaton and moduli sectors of 4-d strings,” Phys. Lett. B 318 (1993) 447–456, arXiv:hep-ph/9308325.
  22. T. Banks, D. B. Kaplan, and A. E. Nelson, “Cosmological implications of dynamical supersymmetry breaking,” Phys. Rev. D 49 (1994) 779–787, arXiv:hep-ph/9308292.
  23. M. P. Hertzberg, “Quantum Radiation of Oscillons,” Phys. Rev. D 82 (2010) 045022, arXiv:1003.3459 [hep-th].
  24. M. Kawasaki and M. Yamada, “Decay rates of Gaussian-type I-balls and Bose-enhancement effects in 3+1 dimensions,” JCAP 02 (2014) 001, arXiv:1311.0985 [hep-ph].
  25. P. M. Saffin, “Recrudescence of massive fermion production by oscillons,” JHEP 07 (2017) 126, arXiv:1612.02014 [hep-th].
  26. J.-P. Hong, M. Kawasaki, and M. Yamazaki, “Oscillons from Pure Natural Inflation,” Phys. Rev. D 98 no. 4, (2018) 043531, arXiv:1711.10496 [astro-ph.CO].
  27. S. W. Hawking, “Black hole explosions,” Nature 248 (1974) 30–31.
  28. S. W. Hawking, “Particle Creation by Black Holes,” Commun. Math. Phys. 43 (1975) 199–220. [Erratum: Commun.Math.Phys. 46, 206 (1976)].
  29. D. N. Page, “Particle Emission Rates from a Black Hole: Massless Particles from an Uncharged, Nonrotating Hole,” Phys. Rev. D 13 (1976) 198–206.
  30. S. Das and A. Hook, “Black hole production of monopoles in the early universe,” JHEP 12 (2021) 145, arXiv:2109.00039 [hep-ph].
  31. L. D. Landau and I. Pomeranchuk, “Limits of applicability of the theory of bremsstrahlung electrons and pair production at high-energies,” Dokl. Akad. Nauk Ser. Fiz. 92 (1953) 535–536.
  32. A. B. Migdal, “Bremsstrahlung and pair production in condensed media at high-energies,” Phys. Rev. 103 (1956) 1811–1820.
  33. M. Gyulassy and X.-n. Wang, “Multiple collisions and induced gluon Bremsstrahlung in QCD,” Nucl. Phys. B 420 (1994) 583–614, arXiv:nucl-th/9306003.
  34. P. B. Arnold, G. D. Moore, and L. G. Yaffe, “Photon emission from ultrarelativistic plasmas,” JHEP 11 (2001) 057, arXiv:hep-ph/0109064.
  35. P. B. Arnold, G. D. Moore, and L. G. Yaffe, “Photon emission from quark gluon plasma: Complete leading order results,” JHEP 12 (2001) 009, arXiv:hep-ph/0111107.
  36. P. B. Arnold, G. D. Moore, and L. G. Yaffe, “Photon and gluon emission in relativistic plasmas,” JHEP 06 (2002) 030, arXiv:hep-ph/0204343.
  37. D. Besak and D. Bodeker, “Hard Thermal Loops for Soft or Collinear External Momenta,” JHEP 05 (2010) 007, arXiv:1002.0022 [hep-ph].
  38. P. B. Arnold, G. D. Moore, and L. G. Yaffe, “Effective kinetic theory for high temperature gauge theories,” JHEP 01 (2003) 030, arXiv:hep-ph/0209353.
  39. S. Jeon and G. D. Moore, “Energy loss of leading partons in a thermal QCD medium,” Phys. Rev. C 71 (2005) 034901, arXiv:hep-ph/0309332.
  40. P. B. Arnold and C. Dogan, “QCD Splitting/Joining Functions at Finite Temperature in the Deep LPM Regime,” Phys. Rev. D 78 (2008) 065008, arXiv:0804.3359 [hep-ph].
  41. A. Kurkela and G. D. Moore, “Thermalization in Weakly Coupled Nonabelian Plasmas,” JHEP 12 (2011) 044, arXiv:1107.5050 [hep-ph].
  42. M. C. Abraao York, A. Kurkela, E. Lu, and G. D. Moore, “UV cascade in classical Yang-Mills theory via kinetic theory,” Phys. Rev. D 89 no. 7, (2014) 074036, arXiv:1401.3751 [hep-ph].
  43. A. Kurkela and E. Lu, “Approach to Equilibrium in Weakly Coupled Non-Abelian Plasmas,” Phys. Rev. Lett. 113 no. 18, (2014) 182301, arXiv:1405.6318 [hep-ph].
  44. A. Kurkela and U. A. Wiedemann, “Picturing perturbative parton cascades in QCD matter,” Phys. Lett. B 740 (2015) 172–178, arXiv:1407.0293 [hep-ph].
  45. A. Kurkela and A. Mazeliauskas, “Chemical equilibration in weakly coupled QCD,” Phys. Rev. D 99 no. 5, (2019) 054018, arXiv:1811.03068 [hep-ph].
  46. A. Kurkela and A. Mazeliauskas, “Chemical Equilibration in Hadronic Collisions,” Phys. Rev. Lett. 122 (2019) 142301, arXiv:1811.03040 [hep-ph].
  47. X. Du and S. Schlichting, “Equilibration of the Quark-Gluon Plasma at Finite Net-Baryon Density in QCD Kinetic Theory,” Phys. Rev. Lett. 127 no. 12, (2021) 122301, arXiv:2012.09068 [hep-ph].
  48. X. Du and S. Schlichting, “Equilibration of weakly coupled QCD plasmas,” Phys. Rev. D 104 no. 5, (2021) 054011, arXiv:2012.09079 [hep-ph].
  49. Y. Fu, J. Ghiglieri, S. Iqbal, and A. Kurkela, “Thermalization of non-Abelian gauge theories at next-to-leading order,” Phys. Rev. D 105 no. 5, (2022) 054031, arXiv:2110.01540 [hep-ph].
  50. K. Harigaya and K. Mukaida, “Thermalization after/during Reheating,” JHEP 05 (2014) 006, arXiv:1312.3097 [hep-ph].
  51. K. Harigaya, M. Kawasaki, K. Mukaida, and M. Yamada, “Dark Matter Production in Late Time Reheating,” Phys. Rev. D 89 no. 8, (2014) 083532, arXiv:1402.2846 [hep-ph].
  52. K. Mukaida and M. Yamada, “Thermalization Process after Inflation and Effective Potential of Scalar Field,” JCAP 02 (2016) 003, arXiv:1506.07661 [hep-ph].
  53. M. Drees and B. Najjari, “Energy spectrum of thermalizing high energy decay products in the early universe,” JCAP 10 (2021) 009, arXiv:2105.01935 [hep-ph].
  54. S. Passaglia, W. Hu, A. J. Long, and D. Zegeye, “Achieving the highest temperature during reheating with the Higgs condensate,” Phys. Rev. D 104 no. 8, (2021) 083540, arXiv:2108.00962 [hep-ph].
  55. M. Drees and B. Najjari, “Multi-Species Thermalization Cascade of Energetic Particles in the Early Universe,” arXiv:2205.07741 [hep-ph].
  56. S. Davidson and S. Sarkar, “Thermalization after inflation,” JHEP 11 (2000) 012, arXiv:hep-ph/0009078.
  57. R. Allahverdi and M. Drees, “Thermalization after inflation and production of massive stable particles,” Phys. Rev. D 66 (2002) 063513, arXiv:hep-ph/0205246.
  58. P. Jaikumar and A. Mazumdar, “Postinflationary thermalization and hadronization: QCD based approach,” Nucl. Phys. B 683 (2004) 264–276, arXiv:hep-ph/0212265.
  59. M. A. G. Garcia, Y. Mambrini, K. A. Olive, and M. Peloso, “Enhancement of the Dark Matter Abundance Before Reheating: Applications to Gravitino Dark Matter,” Phys. Rev. D 96 no. 10, (2017) 103510, arXiv:1709.01549 [hep-ph].
  60. E. Dudas, T. Gherghetta, Y. Mambrini, and K. A. Olive, “Inflation and High-Scale Supersymmetry with an EeV Gravitino,” Phys. Rev. D 96 no. 11, (2017) 115032, arXiv:1710.07341 [hep-ph].
  61. M. Drees and F. Hajkarim, “Dark Matter Production in an Early Matter Dominated Era,” JCAP 02 (2018) 057, arXiv:1711.05007 [hep-ph].
  62. R. Allahverdi and J. K. Osiński, “Nonthermal dark matter from modified early matter domination,” Phys. Rev. D 99 no. 8, (2019) 083517, arXiv:1812.10522 [hep-ph].
  63. K. Kaneta, Y. Mambrini, and K. A. Olive, “Radiative production of nonthermal dark matter,” Phys. Rev. D 99 no. 6, (2019) 063508, arXiv:1901.04449 [hep-ph].
  64. N. Bernal, F. Elahi, C. Maldonado, and J. Unwin, “Ultraviolet Freeze-in and Non-Standard Cosmologies,” JCAP 11 (2019) 026, arXiv:1909.07992 [hep-ph].
  65. R. Allahverdi and J. K. Osiński, “Freeze-in Production of Dark Matter Prior to Early Matter Domination,” Phys. Rev. D 101 no. 6, (2020) 063503, arXiv:1909.01457 [hep-ph].
  66. D. J. H. Chung, E. W. Kolb, and A. Riotto, “Production of massive particles during reheating,” Phys. Rev. D 60 (1999) 063504, arXiv:hep-ph/9809453.
  67. R. Allahverdi and M. Drees, “Production of massive stable particles in inflaton decay,” Phys. Rev. Lett. 89 (2002) 091302, arXiv:hep-ph/0203118.
  68. G. Kane, R. Lu, and S. Watson, “PAMELA Satellite Data as a Signal of Non-Thermal Wino LSP Dark Matter,” Phys. Lett. B 681 (2009) 151–160, arXiv:0906.4765 [astro-ph.HE].
  69. D. Hooper, F. S. Queiroz, and N. Y. Gnedin, “Non-Thermal Dark Matter Mimicking An Additional Neutrino Species In The Early Universe,” Phys. Rev. D 85 (2012) 063513, arXiv:1111.6599 [astro-ph.CO].
  70. Y. Kurata and N. Maekawa, “Averaged Number of the Lightest Supersymmetric Particles in Decay of Superheavy Particle with Long Lifetime,” Prog. Theor. Phys. 127 (2012) 657–664, arXiv:1201.3696 [hep-ph].
  71. J. Fan and M. Reece, “In Wino Veritas? Indirect Searches Shed Light on Neutralino Dark Matter,” JHEP 10 (2013) 124, arXiv:1307.4400 [hep-ph].
  72. G. Kane, K. Sinha, and S. Watson, “Cosmological Moduli and the Post-Inflationary Universe: A Critical Review,” Int. J. Mod. Phys. D 24 no. 08, (2015) 1530022, arXiv:1502.07746 [hep-th].
  73. R. T. Co, F. D’Eramo, L. J. Hall, and D. Pappadopulo, “Freeze-In Dark Matter with Displaced Signatures at Colliders,” JCAP 12 (2015) 024, arXiv:1506.07532 [hep-ph].
  74. M. Dhuria, C. Hati, and U. Sarkar, “Moduli induced cogenesis of baryon asymmetry and dark matter,” Phys. Lett. B 756 (2016) 376–383, arXiv:1508.04144 [hep-ph].
  75. Y. Mambrini, K. A. Olive, and J. Zheng, “Post-Inflationary Dark Matter Bremsstrahlung,” arXiv:2208.05859 [hep-ph].
  76. M. A. G. Garcia and M. A. Amin, “Prethermalization production of dark matter,” Phys. Rev. D 98 no. 10, (2018) 103504, arXiv:1806.01865 [hep-ph].
  77. K. Harigaya, K. Mukaida, and M. Yamada, “Dark Matter Production during the Thermalization Era,” JHEP 07 (2019) 059, arXiv:1901.11027 [hep-ph].
  78. M. A. G. Garcia, K. Kaneta, Y. Mambrini, and K. A. Olive, “Reheating and Post-inflationary Production of Dark Matter,” Phys. Rev. D 101 no. 12, (2020) 123507, arXiv:2004.08404 [hep-ph].
  79. M. A. G. Garcia, K. Kaneta, Y. Mambrini, and K. A. Olive, “Inflaton Oscillations and Post-Inflationary Reheating,” JCAP 04 (2021) 012, arXiv:2012.10756 [hep-ph].
  80. Y. Hamada and K. Kawana, “Reheating-era leptogenesis,” Phys. Lett. B 763 (2016) 388–392, arXiv:1510.05186 [hep-ph].
  81. Y. Hamada, R. Kitano, and W. Yin, “Leptogenesis via Neutrino Oscillation Magic,” JHEP 10 (2018) 178, arXiv:1807.06582 [hep-ph].
  82. T. Asaka, H. Ishida, and W. Yin, “Direct baryogenesis in the broken phase,” JHEP 07 (2020) 174, arXiv:1912.08797 [hep-ph].
  83. T. Asaka, D. Grigoriev, V. Kuzmin, and M. Shaposhnikov, “Late reheating, hadronic jets and baryogenesis,” Phys. Rev. Lett. 92 (2004) 101303, arXiv:hep-ph/0310100.
  84. J. Jaeckel and W. Yin, “High Energy Sphalerons for Baryogenesis at Low Temperatures,” arXiv:2206.06376 [hep-ph].
  85. E. Iancu, J. D. Madrigal, A. H. Mueller, G. Soyez, and D. N. Triantafyllopoulos, “Resumming double logarithms in the QCD evolution of color dipoles,” Phys. Lett. B 744 (2015) 293–302, arXiv:1502.05642 [hep-ph].
  86. S. Caron-Huot, “O(g) plasma effects in jet quenching,” Phys. Rev. D 79 (2009) 065039, arXiv:0811.1603 [hep-ph].
  87. A. Anisimov, D. Besak, and D. Bodeker, “Thermal production of relativistic Majorana neutrinos: Strong enhancement by multiple soft scattering,” JCAP 03 (2011) 042, arXiv:1012.3784 [hep-ph].
  88. D. Besak and D. Bodeker, “Thermal production of ultrarelativistic right-handed neutrinos: Complete leading-order results,” JCAP 03 (2012) 029, arXiv:1202.1288 [hep-ph].
  89. D. Bödeker and D. Schröder, “Equilibration of right-handed electrons,” JCAP 05 (2019) 010, arXiv:1902.07220 [hep-ph].
  90. Particle Data Group Collaboration, R. L. Workman, “Review of Particle Physics,” PTEP 2022 (2022) 083C01.
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