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Neutrino oscillations and PMNS matrix in gauge-Higgs unification

Yutaka Hosotani*

  • *Contact author: hosotani@rcnp.osaka-u.ac.jp
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Phys. Rev. D 113, 035013 – Published 13 February, 2026

DOI: https://doi.org/10.1103/cs4b-n8wf

Abstract

In the SO(5)×U(1)×SU(3) gauge-Higgs unification in the Randall-Sundrum (RS) warped space, neutrino oscillations and the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix in the W couplings originate from Majorana mass terms on the ultraviolet brane in the RS space. Tiny neutrino masses are generated by an inverse seesaw mechanism. The PMNS matrix in the normal ordering with δCP=π naturally arises consistently with the NuFit-6.0 analysis of neutrino oscillation data.

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References (65)

  1. Y. Hosotani, Dynamical mass generation by compact extra dimensions, Phys. Lett. 126B, 309 (1983).
  2. A. T. Davies and A. McLachlan, Gauge group breaking by Wilson loops, Phys. Lett. B 200, 305 (1988).
  3. Y. Hosotani, Dynamics of nonintegrable phases and gauge symmetry breaking, Ann. Phys. (N.Y.) 190, 233 (1989).
  4. A. T. Davies and A. McLachlan, Congruency class effects in the Hosotani model, Nucl. Phys. B317, 237 (1989).
  5. J. E. Hetrick and C-L. Ho, Dynamical symmetry breaking from toroidal compactification, Phys. Rev. D 40, 4085 (1989).
  6. A. McLachlan, Flux-breaking in space-times with toroidal compactification, Nucl. Phys. B338, 188 (1990).
  7. H. Hatanaka, T. Inami, and C. S. Lim, The gauge hierarchy problem and higher dimensional gauge theories, Mod. Phys. Lett. A 13, 2601 (1998).
  8. H. Hatanaka, Matter representations and gauge symmetry breaking via compactified space, Prog. Theor. Phys. 102, 407 (1999).
  9. I. Antoniadis, K. Benakli, and M. Quiros, Finite Higgs mass without supersymmetry, New. J. Phys. 3, 20 (2001).
  10. K. Takenaga, Gauge symmetry breaking through the Hosotani mechanism in softly broken supersymmetric QCD, Phys. Rev. D 66, 085009 (2002).
  11. M. Kubo, C. S. Lim, and H. Yamashita, The Hosotani mechanism in bulk gauge theories with an orbifold extra space S1/Z2, Mod. Phys. Lett. A 17, 2249 (2002).
  12. G. Burdman and Y. Nomura, Unification of Higgs and gauge fields in five dimensions, Nucl. Phys. B656, 3 (2003).
  13. C. Csaki, C. Grojean, and H. Murayama, Standard model Higgs from higher dimensional gauge fields, Phys. Rev. D 67, 085012 (2003).
  14. C. A. Scrucca, M. Serone, and L. Silvestrini, Electroweak symmetry breaking and fermion masses from extra dimensions, Nucl. Phys. B669, 128 (2003).
  15. K. Agashe, R. Contino, and A. Pomarol, The minimal composite Higgs model, Nucl. Phys. B719, 165 (2005).
  16. G. Cacciapaglia, C. Csaki, and S. C. Park, Fully radiative electroweak symmetry breaking, J. High Energy Phys. 03 (2006) 099.
  17. A. D. Medina, N. R. Shah, and Carlos E. M. Wagner, Gauge-Higgs unification and radiative electroweak symmetry breaking in warped extra dimensions, Phys. Rev. D 76, 095010 (2007).
  18. Y. Hosotani, K. Oda, T. Ohnuma, and Y. Sakamura, Dynamical electroweak symmetry breaking in SO(5)×U(1) gauge-Higgs unification with top and bottom quarks, Phys. Rev. D 78, 096002 (2008); 79, 079902(E) (2009).
  19. M. Serone, Holographic methods and gauge-Higgs unification in flat extra dimensions, New. J. Phys. 12, 075013 (2010).
  20. S. Funatsu, H. Hatanaka, Y. Hosotani, Y. Orikasa, and T. Shimotani, Novel universality and Higgs decay H→γγ,gg in the SO(5)×U(1) gauge-Higgs unification, Phys. Lett. B 722, 94 (2013).
  21. J. Yoon and M. E. Peskin, Dissection of an SO(5)×U(1) gauge-Higgs unification model, Phys. Rev. D 100, 015001 (2019).
  22. S. Funatsu, H. Hatanaka, Y. Hosotani, Y. Orikasa, and N. Yamatsu, GUT inspired SO(5)×U(1)×SU(3) gauge-Higgs unification, Phys. Rev. D 99, 095010 (2019).
  23. S. Funatsu, H. Hatanaka, Y. Hosotani, Y. Orikasa, and N. Yamatsu, CKM matrix and FCNC suppression in SO(5)×U(1)×SU(3) gauge-Higgs unification, Phys. Rev. D 101, 055016 (2020).
  24. S. Funatsu, H. Hatanaka, Y. Hosotani, Y. Orikasa, and N. Yamatsu, Effective potential and universality in GUT-inspired gauge-Higgs unification, Phys. Rev. D 102, 015005 (2020).
  25. Y. Hosotani and N. Yamatsu, Gauge-Higgs grand unification, Prog. Theor. Exp. Phys. 2015, 111B01 (2015).
  26. A. Furui, Y. Hosotani, and N. Yamatsu, Toward realistic gauge-Higgs grand unification, Prog. Theor. Exp. Phys. 2016, 093B01 (2016).
  27. Y. Hosotani and N. Yamatsu, Gauge-Higgs seesaw mechanism in 6-dimensional grand unification, Prog. Theor. Exp. Phys. 2017, 091B01 (2017).
  28. Y. Hosotani and N. Yamatsu, Electroweak symmetry breaking and mass spectra in six-dimensional gauge-Higgs grand unification, Prog. Theor. Exp. Phys. 2018, 023B05 (2018).
  29. S. Funatsu, H. Hatanaka, Y. Hosotani, and Y. Orikasa, Distinct signals of the gauge-Higgs unification in e+e− collider experiments, Phys. Lett. B 775, 297 (2017).
  30. J. Yoon and M. E. Peskin, Fermion pair production in SO(5)×U(1) gauge-Higgs unification models, arXiv:1811.07877.
  31. S. Funatsu, Forward-backward asymmetry in the gauge-Higgs unification at the International Linear Collider, Eur. Phys. J. C 79, 854 (2019).
  32. S. Funatsu, H. Hatanaka, Y. Hosotani, Y. Orikasa, and N. Yamatsu, Fermion pair production at e−e+ linear collider experiments in GUT inspired gauge-Higgs unification, Phys. Rev. D 102, 015029 (2020).
  33. A. Irles, J. P. Márquez, R. Pöschl, F. Richard, A. Saibel, H. Yamamoto, and N. Yamatsu, Probing gauge-Higgs unification models at the ILC with quark-antiquark forward-backward asymmetry at center-of-mass energies above the Z mass, Eur. Phys. J. C 84, 537 (2024).
  34. S. Funatsu, H. Hatanaka, Y. Orikasa, and N. Yamatsu, Single Higgs boson production at electron-positron colliders in gauge-Higgs unification, Phys. Rev. D 107, 075030 (2023).
  35. N. Yamatsu, S. Funatsu, H. Hatanaka, Y. Hosotani, and Y. Orikasa, W and Z boson pair production at electron-positron colliders in gauge-Higgs unification, Phys. Rev. D 108, 115014 (2023).
  36. Y. Hosotani, S. Funatsu, H. Hatanaka, Y. Orikasa, and N. Yamatsu, W boson mass in gauge-Higgs unification, Phys. Rev. D 108, 115036 (2023).
  37. T. Aaltonen et al. (CDF Collaboration), High-precision measurement of the W boson mass with the CDF II detector, Science 376, 170 (2022).
  38. Y. Hosotani, An Introduction to Gauge-Higgs Unification (World Scientific Publishing Company, Singapore, 2025), ISBN [Amazon][WorldCat].
  39. S. Funatsu, H. Hatanaka, Y. Hosotani, Y. Orikasa, and N. Yamatsu, Anomaly flow by an Aharonov-Bohm phase, Prog. Theor. Exp. Phys. 2022, 043B04 (2022).
  40. Y. Hosotani, Universality in anomaly flow, Prog. Theor. Exp. Phys. 2022, 073B01 (2022).
  41. Y. Hosotani, Holography in anomaly flow in orbifold gauge theory, Proc. Sci., CORFU2022 (2023) 120 [arXiv:2309.01132].
  42. C. S. Lim and N. Maru, Towards a realistic grand gauge-Higgs unification, Phys. Lett. B 653, 320 (2007).
  43. K. Kojima, K. Takenaga, and T. Yamashita, Grand gauge-Higgs unification, Phys. Rev. D 84, 051701(R) (2011); Gauge symmetry breaking patterns in an SU(5) grand gauge-Higgs unification model, 95, 015021 (2017).
  44. C. Englert, D. J. Miller, and D. D. Smaranda, Phenomenology of GUT-inspired gauge-Higgs unification, Phys. Lett. B 802, 135261 (2020); The Weinberg angle and 5D RGE effects in a SO(11) GUT theory, 807, 135548 (2020).
  45. A. Angelescu, A. Bally, S. Blasi, and F. Goertz, Minimal SU(6) gauge-Higgs grand unification, Phys. Rev. D 105, 035026 (2022).
  46. N. Maru, H. Takahashi, and Y. Yatagai, Gauge coupling unification in simplified grand gauge-Higgs unification, Phys. Rev. D 106, 055033 (2022).
  47. A. Angelescu, A. Bally, F. Goertz, and S. Weber, SU(6) gauge-Higgs grand unification: Minimal viable models and flavor, J. High Energy Phys. 04 (2023) 012.
  48. N. Maru and R. Nago, New models of SU(6) grand gauge-Higgs unification, J. High Energy Phys. 11 (2024) 035.
  49. N. Maru and R. Nago, Electroweak symmetry breaking in Sp(6) gauge-Higgs unification model, Nucl. Phys. B1014, 116863 (2025).
  50. Y. Hosotani, S. Funatsu, H. Hatanaka, Y. Orikasa, and N. Yamatsu, Origin of CKM matrix and natural FCNC suppression in gauge-Higgs unification, Phys. Rev. D 111, 095023 (2025).
  51. B. Pontecorvo, Inverse beta processes and nonconservation of lepton charge, Sov. Phys. JETP 7, 172 (1958).
  52. Z. Maki, M. Nakagawa, and S. Sakata, Remarks on the unified model of elementary particles, Prog. Theor. Phys. 28, 870 (1962).
  53. M. Kobayashi and T. Maskawa, CP violation in the renormalizable theory of weak interaction, Prog. Theor. Phys. 49, 652 (1973).
  54. I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, J. P. Pinheiro, and T. Schwetz, NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations, J. High Energy Phys. 12 (2024) 216.
  55. L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83, 3370 (1999).
  56. A. Falkowski, Holographic pseudo-Goldstone boson, Phys. Rev. D 75, 025017 (2007).
  57. Y. Hosotani and Y. Sakamura, Anomalous Higgs couplings in the SO(5)×U(1)B−L gauge-Higgs unification in warped spacetime, Prog. Theor. Phys. 118, 935 (2007).
  58. K. Hasegawa and C. S. Lim, Majorana neutrino masses in the scenario of gauge-Higgs unification, Prog. Theor. Exp. Phys. 2018, 073B01 (2018).
  59. P. Minkowski, μ→eγ at a rate of one out of 109 muon decays?, Phys. Lett. 67B, 421 (1977).
  60. T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc. C 7902131, 95 (1979).
  61. M. Gell-Mann, P. Ramond, and R. Slansky, Complex spinors and unified theories, in Supergravity, edited by P. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1980), p. 317.
  62. R. N. Mohapatra, Mechanism for understanding small neutrino mass in superstring theories, Phys. Rev. Lett. 56, 561 (1986).
  63. R. N. Mohapatra and J. W. F. Valle, Neutrino mass and baryon-number nonconservation in superstring models, Phys. Rev. D 34, 1642 (1986).
  64. S. J. Huber and Q. Shafi, Seesaw mechanism in warped geometry, Phys. Lett. B 583, 293 (2004).
  65. K. Agashe, S. Hong, and L. Vecchi, Warped seesaw mechanism is physically inverted, Phys. Rev. D 94, 013001 (2016).

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Phys. Rev. D 113, 035013– Published 13 February, 2026
  • Received 13 July 2025
  • Accepted 14 January 2026
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