Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Effective theory of light Dirac neutrino portal dark matter with observable ΔNeff

Debasish Borah1,2,*, Satyabrata Mahapatra3,†, Dibyendu Nanda4,‡, Sujit Kumar Sahoo5,§, and Narendra Sahu5,∥

  • *Contact author: dborah@iitg.ac.in
  • †Contact author: satyabrata@g.skku.edu
  • ‡Contact author: dnanda@het.phys.sci.osaka-u.ac.jp
  • §Contact author: ph21resch11008@iith.ac.in
  • ∥Contact author: nsahu@phy.iith.ac.in

Phys. Rev. D 112, 055010 – Published 8 September, 2025

DOI: https://doi.org/10.1103/m7my-1cjy

Abstract

We study the possibility of light Dirac neutrino portal dark matter (DM) in an effective field theory setup. Dirac nature of light neutrino automatically includes its right chiral part νR which, in our setup, also acts like a portal between DM and the standard model (SM) particles. Considering a Dirac fermion singlet DM stabilized by an unbroken Z2 symmetry, we write down all possible dimension-6 effective operators involving DM-νR as well as νR-SM which conserve Z2, global lepton number and SM gauge symmetries. DM thermalization also ensures the thermalization of νR, leading to enhanced effective relativistic degrees of freedom Neff, within reach of future cosmic microwave background (CMB) experiments. We study the complementarity among DM and CMB related observations for different Lorentz structures of effective operators. We also propose a UV complete gauged B-L symmetric model with Dirac neutrino portal dark matter.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (119)

  1. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  2. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  3. Y. Fukuda et al. (Super-Kamiokande Collaboration), Phys. Rev. Lett. 81, 1562 (1998).
  4. Q. R. Ahmad et al. (SNO Collaboration), Phys. Rev. Lett. 87, 071301 (2001).
  5. Y. Abe et al. (Double Chooz Collaboration), Phys. Rev. Lett. 108, 131801 (2012).
  6. F. P. An et al. (Daya Bay Collaboration), Phys. Rev. Lett. 108, 171803 (2012).
  7. J. K. Ahn et al. (RENO Collaboration), Phys. Rev. Lett. 108, 191802 (2012).
  8. P. Minkowski, Phys. Lett. B 67, 421 (1977).
  9. M. Gell-Mann, P. Ramond, and R. Slansky, Conf. Proc. C 790927, 315 (1979).
  10. R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 44, 912 (1980).
  11. Proceedings: Workshop on the Unified Theories and the Baryon Number in the Universe: Tsukuba, Japan, 1979, edited by O. Sawada and A. Sugamoto (Natl. Lab. High Energy Phys., Tsukuba, Japan, 1979).
  12. T. Yanagida, Prog. Theor. Phys. 64, 1103 (1980).
  13. J. Schechter and J. W. F. Valle, Phys. Rev. D 22, 2227 (1980).
  14. R. N. Mohapatra and G. Senjanovic, Phys. Rev. D 23, 165 (1981).
  15. J. Schechter and J. W. F. Valle, Phys. Rev. D 25, 774 (1982).
  16. C. Wetterich, Nucl. Phys. B187, 343 (1981).
  17. G. Lazarides, Q. Shafi, and C. Wetterich, Nucl. Phys. B181, 287 (1981).
  18. B. Brahmachari and R. N. Mohapatra, Phys. Rev. D 58, 015001 (1998).
  19. R. Foot, H. Lew, X. G. He, and G. C. Joshi, Z. Phys. C 44, 441 (1989).
  20. M. Dutta, S. Bhattacharya, P. Ghosh, and N. Sahu, J. Cosmol. Astropart. Phys. 03 (2021) 008.
  21. D. Borah, M. Dutta, S. Mahapatra, and N. Sahu, Phys. Rev. D 105, 075019 (2022).
  22. D. Borah, S. Mahapatra, and N. Sahu, Phys. Lett. B 831, 137196 (2022).
  23. P. Konar, A. Mukherjee, A. K. Saha, and S. Show, Phys. Rev. D 102, 015024 (2020).
  24. P. Konar, A. Mukherjee, A. K. Saha, and S. Show, J. High Energy Phys. 03 (2021) 044.
  25. S. Bhattacharya, N. Sahoo, and N. Sahu, Phys. Rev. D 96, 035010 (2017).
  26. S. Bhattacharya, B. Karmakar, N. Sahu, and A. Sil, J. High Energy Phys. 05 (2017) 068.
  27. D. Borah, S. Mahapatra, P. K. Paul, N. Sahu, and P. Shukla, Phys. Rev. D 110, 035033 (2024).
  28. P. K. Paul, N. Sahu, and P. Shukla, Phys. Rev. D 112, 015032 (2025).
  29. L. Coito, C. Faubel, J. Herrero-García, A. Santamaria, and A. Titov, J. High Energy Phys. 08 (2022) 085.
  30. C.-Y. Yao and G.-J. Ding, Phys. Rev. D 96, 095004 (2017); 98, 039901(E) (2018).
  31. C. D. R. Carvajal and O. Zapata, Phys. Rev. D 99, 075009 (2019).
  32. D. Nanda and D. Borah, Eur. Phys. J. C 80, 557 (2020).
  33. D. Borah, S. Mahapatra, D. Nanda, and N. Sahu, Phys. Lett. B 811, 135933 (2020).
  34. N. Das and D. Borah, Phys. Rev. D 109, 075045 (2024).
  35. A. Falkowski, J. Juknevich, and J. Shelton, arXiv:0908.1790.
  36. V. Gonzalez Macias and J. Wudka, J. High Energy Phys. 07 (2015) 161.
  37. B. Batell, T. Han, and B. Shams Es Haghi, Phys. Rev. D 97, 095020 (2018).
  38. B. Batell, T. Han, D. McKeen, and B. Shams Es Haghi, Phys. Rev. D 97, 075016 (2018).
  39. P. Bandyopadhyay, E. J. Chun, R. Mandal, and F. S. Queiroz, Phys. Lett. B 788, 530 (2019).
  40. M. Chianese and S. F. King, J. Cosmol. Astropart. Phys. 09 (2018) 027.
  41. M. Blennow, E. Fernandez-Martinez, A. Olivares-Del Campo, S. Pascoli, S. Rosauro-Alcaraz, and A. V. Titov, Eur. Phys. J. C 79, 555 (2019).
  42. J. M. Lamprea, E. Peinado, S. Smolenski, and J. Wudka, Phys. Rev. D 103, 015017 (2021).
  43. M. Chianese, B. Fu, and S. F. King, J. Cosmol. Astropart. Phys. 03 (2020) 030.
  44. P. Bandyopadhyay, E. J. Chun, and R. Mandal, J. Cosmol. Astropart. Phys. 08 (2020) 019.
  45. E. Hall, T. Konstandin, R. McGehee, and H. Murayama, Phys. Rev. D 107, 055011 (2023).
  46. A. Berlin and N. Blinov, Phys. Rev. D 99, 095030 (2019).
  47. X.-J. Xu, S. Zhou, and J. Zhu, J. Cosmol. Astropart. Phys. 04 (2024) 012.
  48. A. Ahmed, Z. Chacko, N. Desai, S. Doshi, C. Kilic, and S. Najjari, J. High Energy Phys. 07 (2024) 260.
  49. X. Cui et al. (PandaX-II Collaboration), Phys. Rev. Lett. 119, 181302 (2017).
  50. E. Aprile et al. (XENON Collaboration), Phys. Rev. Lett. 131, 041003 (2023).
  51. E. Aprile et al. (XENON Collaboration), Phys. Rev. Lett. 123, 241803 (2019).
  52. J. Aalbers et al. (LZ Collaboration), Phys. Rev. Lett. 131, 041002 (2023).
  53. P. Agnes et al. (DarkSide Collaboration), Phys. Rev. Lett. 121, 081307 (2018).
  54. R. Agnese et al. (SuperCDMS Collaboration), Phys. Rev. D 99, 062001 (2019).
  55. A. H. Abdelhameed et al. (CRESST Collaboration), Phys. Rev. D 100, 102002 (2019).
  56. E. Aprile et al. (XENON Collaboration), Phys. Rev. Lett. 123, 251801 (2019).
  57. A. Biswas, D. Borah, and D. Nanda, J. Cosmol. Astropart. Phys. 10 (2021) 002.
  58. A. Biswas, D. Borah, N. Das, and D. Nanda, Phys. Rev. D 107, 015015 (2023).
  59. M. Beltran, D. Hooper, E. W. Kolb, and Z. C. Krusberg, Phys. Rev. D 80, 043509 (2009).
  60. J. Fan, M. Reece, and L.-T. Wang, J. Cosmol. Astropart. Phys. 11 (2010) 042.
  61. J. Goodman, M. Ibe, A. Rajaraman, W. Shepherd, T. M. P. Tait, and H.-B. Yu, Phys. Rev. D 82, 116010 (2010).
  62. M. Beltran, D. Hooper, E. W. Kolb, Z. A. C. Krusberg, and T. M. P. Tait, J. High Energy Phys. 09 (2010) 037.
  63. A. L. Fitzpatrick, W. Haxton, E. Katz, N. Lubbers, and Y. Xu, J. Cosmol. Astropart. Phys. 02 (2013) 004.
  64. S. Bhattacharya and J. Wudka, Int. J. Mod. Phys. D 30, 2130004 (2021).
  65. D. Borah, N. Das, S. Jahedi, and B. Thacker, J. High Energy Phys. 01 (2025) 074.
  66. J. Aebischer and M. Pesut, J. High Energy Phys. 10 (2022) 090.
  67. A. G. Beda, V. B. Brudanin, V. G. Egorov, D. V. Medvedev, V. S. Pogosov, M. V. Shirchenko, and A. S. Starostin, Adv. High Energy Phys. 2012, 350150 (2012).
  68. E. Aprile et al. (XENON Collaboration), Phys. Rev. Lett. 129, 161805 (2022).
  69. M. Agostini et al. (Borexino Collaboration), Phys. Rev. D 96, 091103 (2017).
  70. F. Capozzi and G. Raffelt, Phys. Rev. D 102, 083007 (2020).
  71. G. Mangano, G. Miele, S. Pastor, T. Pinto, O. Pisanti, and P. D. Serpico, Nucl. Phys. B729, 221 (2005).
  72. E. Grohs, G. M. Fuller, C. T. Kishimoto, M. W. Paris, and A. Vlasenko, Phys. Rev. D 93, 083522 (2016).
  73. P. F. de Salas and S. Pastor, J. Cosmol. Astropart. Phys. 07 (2016) 051.
  74. A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 02 (2025) 021.
  75. E. Calabrese et al. (ACT Collaboration), arXiv:2503.14454.
  76. B. D. Fields, K. A. Olive, T.-H. Yeh, and C. Young, J. Cosmol. Astropart. Phys. 03 (2020) 010; 11 (2020) E02.
  77. K. Abazajian et al., arXiv:1907.04473.
  78. S. Aiola et al. (CMB-HD Collaboration), arXiv:2203.05728.
  79. K. N. Abazajian and J. Heeck, Phys. Rev. D 100, 075027 (2019).
  80. P. Fileviez Pérez, C. Murgui, and A. D. Plascencia, Phys. Rev. D 100, 035041 (2019).
  81. C. Han, M. L. López-Ibáñez, B. Peng, and J. M. Yang, Nucl. Phys. B959, 115154 (2020).
  82. X. Luo, W. Rodejohann, and X.-J. Xu, J. Cosmol. Astropart. Phys. 06 (2020) 058.
  83. D. Borah, A. Dasgupta, C. Majumdar, and D. Nanda, Phys. Rev. D 102, 035025 (2020).
  84. P. Adshead, Y. Cui, A. J. Long, and M. Shamma, Phys. Lett. B 823, 136736 (2021).
  85. X. Luo, W. Rodejohann, and X.-J. Xu, J. Cosmol. Astropart. Phys. 03 (2021) 082.
  86. D. Mahanta and D. Borah, Eur. Phys. J. C 82, 495 (2022).
  87. Y. Du and J.-H. Yu, J. High Energy Phys. 05 (2021) 058.
  88. D. Borah, S. Mahapatra, D. Nanda, and N. Sahu, Phys. Lett. B 833, 137297 (2022).
  89. D. Borah, S. Jyoti Das, and N. Okada, J. High Energy Phys. 05 (2023) 004.
  90. S.-P. Li, X.-Q. Li, X.-S. Yan, and Y.-D. Yang, Chin. Phys. C 47, 043109 (2023).
  91. A. Biswas, D. K. Ghosh, and D. Nanda, J. Cosmol. Astropart. Phys. 10 (2022) 006.
  92. P. Adshead, P. Ralegankar, and J. Shelton, J. Cosmol. Astropart. Phys. 09 (2022) 056.
  93. D. Borah, S. Mahapatra, D. Nanda, S. K. Sahoo, and N. Sahu, J. High Energy Phys. 05 (2024) 096.
  94. D. Borah, P. Das, and D. Nanda, Eur. Phys. J. C 84, 140 (2024).
  95. N. Das, S. Jyoti Das, and D. Borah, Phys. Rev. D 108, 095052 (2023).
  96. H. Esseili and G. D. Kribs, J. Cosmol. Astropart. Phys. 05 (2024) 110.
  97. L. Angel, P. Escalona, V. Oliveira, C. A. d. S. Pires, and F. S. Queiroz, J. High Energy Phys. 07 (2025) 197.
  98. A. Biswas, E. J. Chun, S. Mandal, and D. Nanda, arXiv:2411.17414.
  99. S.-P. Li and X.-J. Xu, J. High Energy Phys. 02 (2023) 085.
  100. I. J. Allali, A. Notari, and F. Rompineve, J. Cosmol. Astropart. Phys. 03 (2025) 023.
  101. J. S. Avva et al. (SPT-3G Collaboration), J. Phys. Conf. Ser. 1468, 012008 (2020).
  102. P. Gondolo and G. Gelmini, Nucl. Phys. B360, 145 (1991).
  103. T. Cohen, J. Doss, and X. Lu, J. High Energy Phys. 04 (2022) 155.
  104. J. Billard et al., Rep. Prog. Phys. 85, 056201 (2022).
  105. T. R. Slatyer, Phys. Rev. D 93, 023527 (2016).
  106. I. John and T. Linden, J. Cosmol. Astropart. Phys. 12 (2021) 007.
  107. A. Davidson, Phys. Rev. D 20, 776 (1979).
  108. R. N. Mohapatra and R. E. Marshak, Phys. Rev. Lett. 44, 1316 (1980); 44, 1643(E) (1980).
  109. R. E. Marshak and R. N. Mohapatra, Phys. Lett. 91B, 222 (1980).
  110. A. Masiero, J. F. Nieves, and T. Yanagida, Phys. Lett. 116B, 11 (1982).
  111. R. N. Mohapatra and G. Senjanovic, Phys. Rev. D 27, 254 (1983).
  112. W. Buchmuller, C. Greub, and P. Minkowski, Phys. Lett. B 267, 395 (1991).
  113. J. Heeck, Phys. Lett. B 739, 256 (2014).
  114. A. M. Sirunyan et al. (CMS Collaboration), J. High Energy Phys. 07 (2021) 208.
  115. G. Aad et al. (ATLAS Collaboration), Phys. Lett. B 796, 68 (2019).
  116. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 124, 041801 (2020).
  117. J. P. Lees et al. (BABAR Collaboration, Phys. Rev. Lett. 113, 201801 (2014).
  118. M. Cadeddu, N. Cargioli, F. Dordei, C. Giunti, Y. F. Li, E. Picciau, and Y. Y. Zhang, J. High Energy Phys. 01 (2021) 116.
  119. J. D. Bjorken, S. Ecklund, W. R. Nelson, A. Abashian, C. Church, B. Lu, L. W. Mo, T. A. Nunamaker, and P. Rassmann, Phys. Rev. D 38, 3375 (1988).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation