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  • Letter
  • Open Access

Minimal dark matter in SU(5) grand unification

Takashi Toma*

  • *Contact author: toma@staff.kanazawa-u.ac.jp
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Phys. Rev. D 111, L051701 – Published 25 March, 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L051701

Abstract

Minimal dark matter is an attractive candidate for dark matter because it is stabilized without the need to impose additional symmetries. It is known that the SU(2)L quintuplet fermion can serve as a minimal dark matter candidate, with its mass predicted to be around 14 TeV, based on the thermal production mechanism. In this work, we embed the quintuplet dark matter within nonsupersymmetric SU(5) grand unified theories. We find that two pairs of colored sextet fermions are required at the O(1–10)  TeV scale to achieve gauge coupling unification, with the unification scale near the reduced Planck scale. These colored sextet fermions become metastable because their interactions are suppressed by the unification scale. Our model can be tested through comprehensive searches for colored sextet fermions in collider experiments, as well as through indirect and direct detection methods for minimal dark matter. Once the minimal dark matter scenario has been experimentally confirmed, it will have implications for modifying string theories.

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References (50)

  1. J. Aalbers et al. (LZ Collaboration), First dark matter search results from the LUX-ZEPLIN (LZ) experiment, Phys. Rev. Lett. 131, 041002 (2023).
  2. S. Haselschwardt, New dark matter search results from the LUX-ZEPLIN (LZ) experiment, https://indico.uchicago.edu/event/427/contributions/1325/attachments/359/548/lz_results_tevpa.pdf.
  3. M. Cirelli, N. Fornengo, and A. Strumia, Minimal dark matter, Nucl. Phys. B753, 178 (2006).
  4. C. Gross, O. Lebedev, and T. Toma, Cancellation mechanism for dark-matter–nucleon interaction, Phys. Rev. Lett. 119, 191801 (2017).
  5. M. Freytsis and Z. Ligeti, On dark matter models with uniquely spin-dependent detection possibilities, Phys. Rev. D 83, 115009 (2011).
  6. T. Abe, M. Fujiwara, and J. Hisano, Loop corrections to dark matter direct detection in a pseudoscalar mediator dark matter model, J. High Energy Phys. 02 (2019) 028.
  7. H. Georgi and S. L. Glashow, Unity of all elementary particle forces, Phys. Rev. Lett. 32, 438 (1974).
  8. G.-C. Cho, K. Hayami, and N. Okada, SO(10) grand unification with minimal dark matter and color octet scalars, Phys. Rev. D 105, 015027 (2022).
  9. S. Ferrari, T. Hambye, J. Heeck, and M. H. G. Tytgat, SO(10) paths to dark matter, Phys. Rev. D 99, 055032 (2019).
  10. J. Hisano, S. Matsumoto, and M. M. Nojiri, Explosive dark matter annihilation, Phys. Rev. Lett. 92, 031303 (2004).
  11. J. Hisano, S. Matsumoto, M. M. Nojiri, and O. Saito, Non-perturbative effect on dark matter annihilation and gamma ray signature from galactic center, Phys. Rev. D 71, 063528 (2005).
  12. J. Hisano, S. Matsumoto, M. Nagai, O. Saito, and M. Senami, Non-perturbative effect on thermal relic abundance of dark matter, Phys. Lett. B 646, 34 (2007).
  13. A. Mitridate, M. Redi, J. Smirnov, and A. Strumia, Cosmological implications of dark matter bound states, J. Cosmol. Astropart. Phys. 05 (2017) 006.
  14. N. Yamatsu, Finite-dimensional Lie algebras and their representations for unified model building, arXiv:1511.08771.
  15. R. Feger, T. W. Kephart, and R. J. Saskowski, lieart 2.0—A Mathematica application for Lie algebras and representation theory, Comput. Phys. Commun. 257, 107490 (2020).
  16. R. M. Fonseca, groupmath: A Mathematica package for group theory calculations, Comput. Phys. Commun. 267, 108085 (2021).
  17. M. E. Machacek and M. T. Vaughn, Two loop renormalization group equations in a general quantum field theory: (I). Wave function renormalization, Nucl. Phys. B222, 83 (1983).
  18. M. E. Machacek and M. T. Vaughn, Two loop renormalization group equations in a general quantum field theory: (II). Yukawa couplings, Nucl. Phys. B236, 221 (1984).
  19. M. E. Machacek and M. T. Vaughn, Two loop renormalization group equations in a general quantum field theory: (III). Scalar quartic couplings, Nucl. Phys. B249, 70 (1985).
  20. H. Arason, D. J. Castano, B. Keszthelyi, S. Mikaelian, E. J. Piard, P. Ramond, and B. D. Wright, Renormalization group study of the standard model and its extensions: The standard model, Phys. Rev. D 46, 3945 (1992).
  21. M.-x. Luo and Y. Xiao, Two loop renormalization group equations in the standard model, Phys. Rev. Lett. 90, 011601 (2003).
  22. F. Staub, SARAH, arXiv:0806.0538.
  23. F. Staub, SARAH 4: A tool for (not only SUSY) model builders, Comput. Phys. Commun. 185, 1773 (2014).
  24. J. Schwichtenberg, Gauge coupling unification without supersymmetry, Eur. Phys. J. C 79, 351 (2019).
  25. R. L. Workman et al. (Particle Data Group Collaboration), Review of particle physics, Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
  26. R. Howl and S. F. King, Planck scale unification in a supersymmetric standard model, Phys. Lett. B 652, 331 (2007).
  27. A. Ibarra, P. Strobl, and T. Toma, Neutrino masses from Planck-scale lepton number breaking, Phys. Rev. Lett. 122, 081803 (2019).
  28. A. Ibarra, P. Strobl, and T. Toma, Two-loop renormalization group equations for right-handed neutrino masses and phenomenological implications, Phys. Rev. D 102, 055011 (2020).
  29. T. Han and S. Willenbrock, Scale of quantum gravity, Phys. Lett. B 616, 215 (2005).
  30. L. M. Carpenter, T. Murphy, and T. M. P. Tait, Phenomenological cornucopia of SU(3) exotica, Phys. Rev. D 105, 035014 (2022).
  31. A. Takenaka et al. (Super-Kamiokande Collaboration), Search for proton decay via p→e+π0 and p→μ+π0 with an enlarged fiducial volume in Super-Kamiokande I-IV, Phys. Rev. D 102, 112011 (2020).
  32. Y. Itow (Hyper-Kamiokande Collaboration), Construction status and prospects of the Hyper-Kamiokande project, Proc. Sci. ICRC2021 (2021) 1192.
  33. T. Han, I. Lewis, and Z. Liu, Colored resonant signals at the LHC: Largest rate and simplest topology, J. High Energy Phys. 12 (2010) 085.
  34. P. Richardson and D. Winn, Simulation of sextet diquark production, Eur. Phys. J. C 72, 1862 (2012).
  35. M. Aaboud et al. (ATLAS Collaboration), Search for metastable heavy charged particles with large ionization energy loss in pp collisions at s=13  TeV using the ATLAS experiment, Phys. Rev. D 93, 112015 (2016).
  36. M. Aaboud et al. (ATLAS Collaboration), Search for heavy long-lived charged R-hadrons with the ATLAS detector in 3.2  fb−1 of proton–proton collision data at s=13  TeV, Phys. Lett. B 760, 647 (2016).
  37. H. Abe et al. (MAGIC Collaboration), Search for gamma-ray spectral lines from dark matter annihilation up to 100 TeV toward the galactic center with MAGIC, Phys. Rev. Lett. 130, 061002 (2023).
  38. A. Montanari, E. Moulin, and N. L. Rodd, Toward the ultimate reach of current imaging atmospheric Cherenkov telescopes and their sensitivity to TeV dark matter, Phys. Rev. D 107, 043028 (2023).
  39. M. Farina, D. Pappadopulo, and A. Strumia, A modified naturalness principle and its experimental tests, J. High Energy Phys. 08 (2013) 022.
  40. M. Baumgart, P. Christeas, J. J. Heckman, and R. J. Hicks, How to falsify string theory at a collider, arXiv:2412.13192.
  41. S. Dimopoulos and F. Wilczek, Incomplete Multiplets in Supersymmetric Unified Models, Report No. Print-81-0600 (SANTA BARBARA), NSF-ITP-82-07.
  42. M. Srednicki, Supersymmetric grand unified theories and the early universe, Nucl. Phys. B202, 327 (1982).
  43. E. Ma, Efficacious additions to the standard model, Phys. Lett. B 625, 76 (2005).
  44. P. Cox, A. Kusenko, O. Sumensari, and T. T. Yanagida, SU(5) unification with TeV-scale leptoquarks, J. High Energy Phys. 03 (2017) 035.
  45. E. Ma, SO(10)→SU(5)×U(1)χ as the origin of dark matter, Phys. Rev. D 98, 091701 (2018).
  46. G. Aad et al. (ATLAS Collaboration), Search for squarks and gluinos in final states with jets and missing transverse momentum using 139  fb−1 of s=13  TeV pp collision data with the ATLAS detector, J. High Energy Phys. 02 (2021) 143.
  47. G. Aad et al. (ATLAS Collaboration), Search for squarks and gluinos in final states with one isolated lepton, jets, and missing transverse momentum at s=13 with the ATLAS detector, Eur. Phys. J. C 81, 600 (2021); (ATLAS Collaboration)Eur. Phys. J. C81, 956(E) (2021).
  48. G. Aad et al. (ATLAS Collaboration), Searches for new phenomena in events with two leptons, jets, and missing transverse momentum in 139  fb−1 of s=13  TeV pp collisions with the ATLAS detector, Eur. Phys. J. C 83, 515 (2023).
  49. G. Aad et al. (ATLAS Collaboration), Search for type-III seesaw heavy leptons in dilepton final states in pp collisions at s=13  TeV with the ATLAS detector, Eur. Phys. J. C 81, 218 (2021).
  50. G. Aad et al. (ATLAS Collaboration), Search for charged Higgs bosons decaying into a top quark and a bottom quark at s=13  TeV with the ATLAS detector, J. High Energy Phys. 06 (2021) 145.

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Phys. Rev. D 111, L051701– Published 25 March, 2025
  • Received 1 January 2025
  • Accepted 28 February 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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