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Neutrino masses and phenomenology in N-naturalness

Manuel Ettengruber*

  • *Contact author: manuel@mpp.mpg.de
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Phys. Rev. D 112, 055015 – Published 11 September, 2025

DOI: https://doi.org/10.1103/tg33-c6bq

Abstract

In this paper, it is shown that N-naturalness scenarios have an intrinsic mechanism to suppress neutrino masses. As in other infrared neutrino mass models like extra-dimensional theories or many species theories, the large number of mixing partners is responsible for the neutrino mass suppression. It is shown how neutrino mass matrices arise in N-naturalness models, and the resulting neutrino mixing is analyzed. The first result is that a totally democratic coupling among the different sectors like in the original models is already ruled out by the fact that neutrinos are not massless. In the case where the sector couplings deviate from the intersector ones a tower of additional neutrino mass eigenstates appears whose difference between the squared masses, Δmij2, is determined fully by the theory. The resulting phenomenology of such a tower is investigated, and the unique signals in neutrino oscillation experiments, neutrino mass measurements, and neutrinoless double beta decay experiments are discussed. This opens the door for terrestrial tests of N-naturalness whose phenomenology was so far focused on cosmology.

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References (50)

  1. T. E. Clark, T.-K. Kuo, and N. Nakagawa, A SO(10) supersymmetric grand unified theory, Phys. Lett. 115B, 26 (1982).
  2. C. S. Aulakh and R. N. Mohapatra, Implications of supersymmetric SO(10) grand unification, Phys. Rev. D 28, 217 (1983).
  3. G. R. Dvali and S. Pokorski, Naturally light Higgs doublet in the spinor representation of SUSY SO(10), Phys. Lett. B 379, 126 (1996).
  4. B. Brahmachari and R. N. Mohapatra, Unified explanation of the solar and atmospheric neutrino puzzles in a minimal supersymmetric SO(10) model, Phys. Rev. D 58, 015001 (1998).
  5. C. S. Aulakh, B. Bajc, A. Melfo, A. Rasin, and G. Senjanovic, SO(10) theory of R-parity and neutrino mass, Nucl. Phys. B597, 89 (2001).
  6. B. Bajc, G. Senjanovic, and F. Vissani, How neutrino and charged fermion masses are connected within minimal supersymmetric SO(10), Proc. Sci. HEP2001 (2001) 198.
  7. C. S. Aulakh, B. Bajc, A. Melfo, G. Senjanovic, and F. Vissani, The minimal supersymmetric grand unified theory, Phys. Lett. B 588, 196 (2004).
  8. S. Weinberg, Baryon and lepton nonconserving processes, Phys. Rev. Lett. 43, 1566 (1979).
  9. P. Minkowski, μ→eγ at a rate of one out of 109 muon decays?, Phys. Lett. 67B, 421 (1977).
  10. M. Gell-Mann, P. Ramond, and R. Slansky, Complex spinors and unified theories, Conf. Proc. C 790927, 315 (1979), arXiv:1306.4669.
  11. T. Yanagida, Horizontal symmetry and masses of neutrinos, Prog. Theor. Phys. 64, 1103 (1980).
  12. R. N. Mohapatra and G. Senjanovic, Neutrino mass and spontaneous parity nonconservation, Phys. Rev. Lett. 44, 912 (1980).
  13. R. N. Mohapatra, Seesaw mechanism and its implications, in SEESAW25: International Conference on the Seesaw Mechanism and the Neutrino Mass (World Scientific, Singapore, 2004), pp. 29–44.
  14. N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429, 263 (1998).
  15. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, New dimensions at a millimeter to a Fermi and superstrings at a TeV, Phys. Lett. B 436, 257 (1998).
  16. N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, Phenomenology, astrophysics and cosmology of theories with submillimeter dimensions and TeV scale quantum gravity, Phys. Rev. D 59, 086004 (1999).
  17. N. Arkani-Hamed, S. Dimopoulos, G. R. Dvali, and J. March-Russell, Neutrino masses from large extra dimensions, Phys. Rev. D 65, 024032 (2001).
  18. G. Dvali and L. Funcke, Small neutrino masses from gravitational θ-term, Phys. Rev. D 93, 113002 (2016).
  19. G. Dvali and M. Redi, Phenomenology of 1032 dark sectors, Phys. Rev. D 80, 055001 (2009).
  20. G. Dvali, Black holes and large N species solution to the hierarchy problem, Fortschr. Phys. 58, 528 (2010).
  21. G. Dvali and M. Redi, Black hole bound on the number of species and quantum gravity at LHC, Phys. Rev. D 77, 045027 (2008).
  22. M. Ettengruber, Neutrino physics in TeV scale gravity theories, Phys. Rev. D 106, 055028 (2022).
  23. G. R. Dvali and A. Y. Smirnov, Probing large extra dimensions with neutrinos, Nucl. Phys. B563, 63 (1999).
  24. P. A. N. Machado, H. Nunokawa, and R. Zukanovich Funchal, Testing for large extra dimensions with neutrino oscillations, Phys. Rev. D 84, 013003 (2011).
  25. P. A. N. Machado, H. Nunokawa, F. A. P. dos Santos, and R. Z. Funchal, Bulk Neutrinos as an alternative cause of the gallium and reactor anti-neutrino anomalies, Phys. Rev. D 85, 073012 (2012).
  26. V. S. Basto-Gonzalez, A. Esmaili, and O. L. G. Peres, Kinematical test of large extra dimension in beta decay experiments, Phys. Lett. B 718, 1020 (2013).
  27. I. Girardi and D. Meloni, Constraining new physics scenarios in neutrino oscillations from Daya Bay data, Phys. Rev. D 90, 073011 (2014).
  28. W. Rodejohann and H. Zhang, Signatures of extra dimensional sterile neutrinos, Phys. Lett. B 737, 81 (2014).
  29. J. M. Berryman, A. de Gouvêa, K. J. Kelly, O. L. G. Peres, and Z. Tabrizi, Large, extra dimensions at the deep underground neutrino experiment, Phys. Rev. D 94, 033006 (2016).
  30. M. Carena, Y.-Y. Li, C. S. Machado, P. A. N. Machado, and C. E. M. Wagner, Neutrinos in large extra dimensions and short-baseline νe appearance, Phys. Rev. D 96, 095014 (2017).
  31. G. V. Stenico, D. V. Forero, and O. L. G. Peres, A short travel for neutrinos in large extra dimensions, J. High Energy Phys. 11 (2018) 155.
  32. C. A. Argüelles et al., New opportunities at the next-generation neutrino experiments I: BSM neutrino physics and dark matter, Rep. Prog. Phys. 83, 124201 (2020).
  33. B. Abi et al. (DUNE Collaboration), Prospects for beyond the standard model physics searches at the deep underground neutrino experiment, Eur. Phys. J. C 81, 322 (2021).
  34. V. S. Basto-Gonzalez, D. V. Forero, C. Giunti, A. A. Quiroga, and C. A. Ternes, Short-baseline oscillation scenarios at JUNO and TAO, Phys. Rev. D 105, 075023 (2022).
  35. C. A. Argüelles et al., Snowmass white paper: Beyond the standard model effects on neutrino flavor, Eur. Phys. J. C 83, 15 (2023).
  36. M. Ettengruber, A. Zander, and P. Eller, Testing the number of neutrino species with a global fit of neutrino data, Phys. Rev. D 109, 095016 (2024).
  37. N. Arkani-Hamed, T. Cohen, R. T. D’Agnolo, A. Hook, H. D. Kim, and D. Pinner, Solving the hierarchy problem at reheating with a large number of degrees of freedom, Phys. Rev. Lett. 117, 251801 (2016).
  38. J. Evans (MINOS Collaboration), The MINOS experiment: Results and prospects, Adv. High Energy Phys. 2013, 182537 (2013).
  39. J. Cao and K.-B. Luk, An overview of the Daya Bay reactor neutrino experiment, Nucl. Phys. B908, 62 (2016).
  40. S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
  41. M. Ahlers, K. Helbing, and C. Pérez de los Heros, Probing particle physics with IceCube, Eur. Phys. J. C 78, 924 (2018).
  42. Z.-L. Han, B. Zhu, L. Bian, and R. Ding, Consistent origin of neutrino mass and freeze-in dark matter in large N theories, arXiv:1812.00637.
  43. S. Bansal, S. Ghosh, M. Low, and Y. Tsai, A cosmological case study of a tower of warm dark matter states: N-naturalness, arXiv:2410.19224.
  44. Z. Djurcic et al. (JUNO Collaboration), JUNO conceptual design report, arXiv:1508.07166.
  45. B. Abi et al. (DUNE Collaboration), Deep Underground Neutrino Experiment (DUNE), far detector technical design report, volume I introduction to dune, J. Instrum. 15, T08008 (2020).
  46. A. Zander, M. Ettengruber, and P. Eller, How many dark neutrino sectors does cosmology allow?, Eur. Phys. J. C 84, 331 (2024).
  47. G. R. Dvali and G. Gabadadze, Nonconservation of global charges in the brane universe and baryogenesis, Phys. Lett. B 460, 47 (1999).
  48. G. Dvali, M. Ettengruber, and A. Stuhlfauth, Kaluza-Klein spectroscopy from neutron oscillations into hidden dimensions, Phys. Rev. D 109, 055046 (2024).
  49. T. Araki et al. (KamLAND Collaboration), Search for the invisible decay of neutrons with KamLAND, Phys. Rev. Lett. 96, 101802 (2006).
  50. M. Ettengruber and E. Koutsangelas, Consequences of multiple axions in theories with dark Yang-Mills groups, Phys. Rev. D 111, 036006 (2025).

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Phys. Rev. D 112, 055015– Published 11 September, 2025
  • Received 3 April 2025
  • Accepted 16 May 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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