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Imprint of domain wall annihilation on induced gravitational waves

Rishav Roshan

Phys. Rev. D 114, 055046 – Published 23 September, 2026

DOI: https://doi.org/10.1103/2b6b-44sb

Abstract

Domain wall annihilation can leave a distinctive imprint on the induced gravitational wave spectrum. During annihilation, most of the domain wall energy transforms into the scalar field responsible for the initial Z2 symmetry breaking that created the walls, along with any coupled species. If the produced scalar is sufficiently long lived, its delayed decay drives an early matter-dominated phase following domain wall annihilation, significantly amplifying induced gravitational waves from primordial perturbations. The subsequent transition to radiation domination dilutes the domain wall contribution through entropy injection while preserving the enhanced induced signal. This creates a gravitational wave spectrum with two distinct peaks detectable across complementary frequency bands. We explore the observable parameter space and demonstrate how multiband detection can probe early Universe symmetry breaking.

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References (122)

  1. G. Agazie et al. (NANOGrav Collaboration), Astrophys. J. Lett. 951, L8 (2023).
  2. A. Afzal et al. (NANOGrav Collaboration), Astrophys. J. Lett. 951, L11 (2023).
  3. L. P. Grishchuk, Sov. Phys. JETP 40, 409 (1975).
  4. A. A. Starobinsky, JETP Lett. 30, 682 (1979).
  5. M. C. Guzzetti, N. Bartolo, M. Liguori, and S. Matarrese, Riv. Nuovo Cimento 39, 399 (2016).
  6. M. Giovannini, Phys. Rev. D 58, 083504 (1998).
  7. M. Giovannini, Phys. Rev. D 60, 123511 (1999).
  8. A. Riazuelo and J.-P. Uzan, Phys. Rev. D 62, 083506 (2000).
  9. N. Seto and J. Yokoyama, J. Phys. Soc. Jpn. 72, 3082 (2003).
  10. L. A. Boyle and A. Buonanno, Phys. Rev. D 78, 043531 (2008).
  11. Y. Gouttenoire, G. Servant, and P. Simakachorn, arXiv:2111.01150.
  12. M. R. Haque, D. Maity, T. Paul, and L. Sriramkumar, Phys. Rev. D 104, 063513 (2021).
  13. A. Chakraborty, M. R. Haque, D. Maity, and R. Mondal, Phys. Rev. D 108, 023515 (2023).
  14. B. Barman, S. Cléry, R. T. Co, Y. Mambrini, and K. A. Olive, J. High Energy Phys. 12 (2022) 072.
  15. B. Barman, A. Ghoshal, B. Grzadkowski, and A. Socha, J. High Energy Phys. 07 (2023) 231.
  16. B. Barman, A. Basu, D. Borah, A. Chakraborty, and R. Roshan, Phys. Rev. D 111, 055016 (2025).
  17. N. Kitajima, J. Lee, F. Takahashi, and W. Yin, J. Cosmol. Astropart. Phys. 07 (2025) 053.
  18. S. Matarrese, O. Pantano, and D. Saez, Phys. Rev. D 47, 1311 (1993).
  19. S. Matarrese, O. Pantano, and D. Saez, Phys. Rev. Lett. 72, 320 (1994).
  20. S. Matarrese, S. Mollerach, and M. Bruni, Phys. Rev. D 58, 043504 (1998).
  21. S. Mollerach, D. Harari, and S. Matarrese, Phys. Rev. D 69, 063002 (2004).
  22. K. N. Ananda, C. Clarkson, and D. Wands, Phys. Rev. D 75, 123518 (2007).
  23. D. Baumann, P. J. Steinhardt, K. Takahashi, and K. Ichiki, Phys. Rev. D 76, 084019 (2007).
  24. G. Domènech, Universe 7, 398 (2021).
  25. R. Roshan and G. White, Rev. Mod. Phys. 97, 015001 (2025).
  26. J. Winicour, Astrophys. J. 182, 919 (1973).
  27. C. J. Hogan, Mon. Not. R. Astron. Soc. 218, 629 (1986).
  28. P. Athron, C. Balázs, A. Fowlie, L. Morris, and L. Wu, Prog. Part. Nucl. Phys. 135, 104094 (2024).
  29. C. Caprini, R. Durrer, and X. Siemens, Phys. Rev. D 82, 063511 (2010).
  30. Z. Arzoumanian et al. (NANOGrav Collaboration), Phys. Rev. Lett. 127, 251302 (2021).
  31. X. Xue et al., Phys. Rev. Lett. 127, 251303 (2021).
  32. P. Di Bari, D. Marfatia, and Y.-L. Zhou, J. High Energy Phys. 10 (2021) 193.
  33. E. Madge, E. Morgante, C. Puchades-Ibáñez, N. Ramberg, W. Ratzinger, S. Schenk, and P. Schwaller, J. High Energy Phys. 10 (2023) 171.
  34. S. Mandal, R. Roshan, and J. W. F. Valle, arXiv:2606.15316.
  35. X. Siemens, V. Mandic, and J. Creighton, Phys. Rev. Lett. 98, 111101 (2007).
  36. J. Ellis and M. Lewicki, Phys. Rev. Lett. 126, 041304 (2021).
  37. S. F. King, S. Pascoli, J. Turner, and Y.-L. Zhou, Phys. Rev. Lett. 126, 021802 (2021).
  38. W. Buchmuller, V. Domcke, and K. Schmitz, Phys. Lett. B 811, 135914 (2020).
  39. S. Blasi, V. Brdar, and K. Schmitz, Phys. Rev. Lett. 126, 041305 (2021).
  40. L. Bian, J. Shu, B. Wang, Q. Yuan, and J. Zong, Phys. Rev. D 106, L101301 (2022).
  41. B. Fu, A. Ghoshal, and S. King, J. High Energy Phys. 11 (2023) 071.
  42. A. Ghoshal, A. Spalding, and G. White, Phys. Rev. D 114, 035001 (2026).
  43. R. Z. Ferreira, A. Notari, O. Pujolas, and F. Rompineve, J. Cosmol. Astropart. Phys. 02 (2023) 001.
  44. H. An and C. Yang, Phys. Rev. D 109, 123508 (2024).
  45. D. I. Dunsky, A. Ghoshal, H. Murayama, Y. Sakakihara, and G. White, Phys. Rev. D 106, 075030 (2022).
  46. A. S. Sakharov, Y. N. Eroshenko, and S. G. Rubin, Phys. Rev. D 104, 043005 (2021).
  47. Y. Bai, T.-K. Chen, and M. Korwar, J. High Energy Phys. 12 (2023) 194.
  48. G. Domènech, arXiv:2402.17388.
  49. M. M. Flores and A. Kusenko, New Ideas on the Formation and Astrophysical Detection of Primordial Black Holes (Springer Nature, Singapore, 2025).
  50. D. del Corral, K. S. Kumar, and J. Marto, Phys. Dark Universe 49, 101991 (2025).
  51. M. Gross, Y. Mambrini, E. Kpatcha, M. O. Olea-Romacho, and R. Roshan, Phys. Rev. D 111, 035020 (2025).
  52. D. Borah, S. Jyoti Das, and R. Roshan, Nucl. Phys. B1002, 116528 (2024).
  53. B. Barman, D. Borah, S. J. Das, and R. Roshan, Phys. Rev. D 107, 095002 (2023).
  54. D. Borah, S. J. Das, R. Roshan, and R. Samanta, Phys. Rev. D 108, 023531 (2023).
  55. B. Barman, S. J. Das, M. R. Haque, and Y. Mambrini, Phys. Rev. D 110, 043528 (2024).
  56. D. Borah, S. J. Das, and I. Saha, Phys. Rev. D 110, 035014 (2024).
  57. A. Vilenkin, Phys. Rep. 121, 263 (1985).
  58. E. W. Kolb and M. S. Turner, The Early Universe, Vol. 69 (CRC Press, Boca Raton, FL, 1990).
  59. J. Preskill and A. Vilenkin, Phys. Rev. D 47, 2324 (1993).
  60. A. Vilenkin and E. P. S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, 1994).
  61. T. D. Lee, Phys. Rep. 9, 143 (1974).
  62. D. Wei and Y. Jiang, Phys. Rev. D 110, 123505 (2024).
  63. Z. A. Borboruah and U. A. Yajnik, Phys. Rev. D 110, 043016 (2024).
  64. B. Fornal, D. Polynice, and L. Thompson, Phys. Rev. D 110, 095013 (2024).
  65. R. Roshan and I. Saha, arXiv:2603.15829.
  66. G. B. Gelmini, M. Gleiser, and E. W. Kolb, Phys. Rev. D 39, 1558 (1989).
  67. Z. Zhang, C. Cai, Y.-H. Su, S. Wang, Z.-H. Yu, and H.-H. Zhang, Phys. Rev. D 108, 095037 (2023).
  68. Q.-Q. Zeng, X. He, Z.-H. Yu, and J. Zheng, Phys. Rev. D 111, 115017 (2025).
  69. D. Borah and I. Saha, Phys. Lett. B 879, 140618 (2026).
  70. D. Borah, P. K. Paul, and N. Sahu, arXiv:2602.07380.
  71. K. Saikawa, Universe 3, 40 (2017).
  72. S. F. King, R. Roshan, X. Wang, G. White, and M. Yamazaki, Phys. Rev. D 109, 024057 (2024).
  73. S. F. King, R. Roshan, X. Wang, G. White, and M. Yamazaki, J. Cosmol. Astropart. Phys. 05 (2024) 071.
  74. S. Bhattacharya, N. Mondal, R. Roshan, and D. Vatsyayan, J. Cosmol. Astropart. Phys. 06 (2024) 029.
  75. D. Borah, N. Das, and R. Roshan, Phys. Rev. D 110, 075042 (2024).
  76. Y. Gouttenoire, S. F. King, R. Roshan, X. Wang, G. White, and M. Yamazaki, Phys. Rev. D 112, 075007 (2025).
  77. N. Kitajima, J. Lee, K. Murai, F. Takahashi, and W. Yin, Phys. Lett. B 851, 138586 (2024).
  78. M. Vanvlasselaer and W. Yin, arXiv:2604.20762.
  79. L. M. Widrow, Phys. Rev. D 40, 1002 (1989).
  80. H. Assadullahi and D. Wands, Phys. Rev. D 79, 083511 (2009).
  81. K. Jedamzik, M. Lemoine, and J. Martin, J. Cosmol. Astropart. Phys. 09 (2010) 034.
  82. L. Alabidi, K. Kohri, M. Sasaki, and Y. Sendouda, J. Cosmol. Astropart. Phys. 05 (2013) 033.
  83. K. Kohri and T. Terada, Phys. Rev. D 97, 123532 (2018).
  84. K. Inomata, K. Kohri, T. Nakama, and T. Terada, Phys. Rev. D 100, 043532 (2019); 108, 049901(E) (2023).
  85. K. Inomata, K. Kohri, T. Nakama, and T. Terada, J. Cosmol. Astropart. Phys. 10 (2019) 071; J. Cosmol. Astropart. Phys.08 (2023) E01(E).
  86. T. Papanikolaou, V. Vennin, and D. Langlois, J. Cosmol. Astropart. Phys. 03 (2021) 053.
  87. G. Domènech, C. Lin, and M. Sasaki, J. Cosmol. Astropart. Phys. 04 (2021) 062; 11 (2021) E01(E).
  88. I. Dalianis and C. Kouvaris, J. Cosmol. Astropart. Phys. 07 (2021) 046.
  89. S. Das, A. Maharana, and F. Muia, Mon. Not. R. Astron. Soc. 515, 13 (2022).
  90. B. Eggemeier, J. C. Niemeyer, K. Jedamzik, and R. Easther, Phys. Rev. D 107, 043503 (2023).
  91. N. Fernandez, J. W. Foster, B. Lillard, and J. Shelton, Phys. Rev. Lett. 133, 111002 (2024).
  92. M. Chianese, G. Domènech, T. Papanikolaou, R. Samanta, and N. Saviano, J. Cosmol. Astropart. Phys. 08 (2026) 021.
  93. I. Dalianis and C. Kouvaris, J. Cosmol. Astropart. Phys. 10 (2024) 006.
  94. A. Ghoshal, A. Spalding, and G. White, arXiv:2604.20792.
  95. R. Roshan and S. Show, Phys. Rev. Lett. 137, 111802 (2026).
  96. P. Konar and S. Show, arXiv:2512.13799.
  97. S. Datta, A. Ghoshal, A. Spalding, and G. White, J. High Energy Phys. 03 (2026) 245.
  98. K. Kannike, Eur. Phys. J. C 72, 2093 (2012).
  99. J. Chakrabortty, P. Konar, and T. Mondal, Phys. Rev. D 89, 095008 (2014).
  100. Y. B. Zeldovich, I. Y. Kobzarev, and L. B. Okun, Zh. Eksp. Teor. Fiz. 67, 3 (1974).
  101. T. W. B. Kibble, J. Phys. A 9, 1387 (1976).
  102. T. Hiramatsu, M. Kawasaki, and K. Saikawa, J. Cosmol. Astropart. Phys. 02 (2014) 031.
  103. W. H. Press, B. S. Ryden, and D. N. Spergel, Astrophys. J. 347, 590 (1989).
  104. M. Kawasaki, K. Saikawa, and T. Sekiguchi, Phys. Rev. D 91, 065014 (2015).
  105. T. Harada, C.-M. Yoo, K. Kohri, K.-i. Nakao, and S. Jhingan, Astrophys. J. 833, 61 (2016).
  106. G. Ballesteros, J. Rey, and F. Rompineve, J. Cosmol. Astropart. Phys. 06 (2020) 014.
  107. V. De Luca, G. Franciolini, A. Kehagias, P. Pani, and A. Riotto, Phys. Lett. B 832, 137265 (2022).
  108. M. Sasaki, T. Suyama, T. Tanaka, and S. Yokoyama, Classical Quantum Gravity 35, 063001 (2018).
  109. P. A. R. Ade et al. (Planck Collaboration), Astron. Astrophys. 594, A13 (2016).
  110. N. Chen, T. Li, and Y. Wu, J. High Energy Phys. 08 (2020) 117.
  111. C. Caprini et al., J. Cosmol. Astropart. Phys. 03 (2020) 024.
  112. E. Thrane and J. D. Romano, Phys. Rev. D 88, 124032 (2013).
  113. M. Punturo et al., Classical Quantum Gravity 27, 194002 (2010).
  114. P. Amaro-Seoane et al. (LISA Collaboration), arXiv:1702.00786.
  115. S. Kawamura et al., Prog. Theor. Exp. Phys. 2021, 05A105 (2021).
  116. A. Sesana et al., Exp. Astron. 51, 1333 (2021).
  117. G. Janssen et al., Proc. Sci. AASKA14 (2015) 037 arXiv:1501.00127.
  118. J. Garcia-Bellido, H. Murayama, and G. White, J. Cosmol. Astropart. Phys. 12 (2021) 023.
  119. M. Maggiore, Phys. Rep. 331, 283 (2000).
  120. B. Allen and J. D. Romano, Phys. Rev. D 59, 102001 (1999).
  121. K. Schmitz, J. High Energy Phys. 01 (2021) 097.
  122. J. Adamek, D. Daverio, R. Durrer, and M. Kunz, J. Cosmol. Astropart. Phys. 07 (2016) 053.

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