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  • Letter
  • Open Access

Fermion masses and mixings in string theory with Dirac neutrinos

Mudassar Sabir1,*, Adeel Mansha2,†, Tianjun Li3,4,5,‡, and Zhi-Wei Wang1,§

  • *Contact author: mudassar.sabir@uestc.edu.cn
  • †Contact author: adeelmansha@alumni.itp.ac.cn
  • ‡Contact author: tli@itp.ac.cn
  • §Contact author: zhiwei.wang@uestc.edu.cn

Phys. Rev. D 111, L071702 – Published 23 April, 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L071702

Abstract

Analyzing the supersymmetric Pati-Salam landscape on a T6/(Z2×Z2) orientifold in IIA string theory, we have found only two models that accurately account for all standard model fermion masses and mixings. The models are dual to each other under the exchange of two SU(2) sectors and feature 12 adjoint scalars, the maximum number allowed in the landscape, whose linear combination yields the two light Higgs eigenstates. Dirac neutrino masses in normal ordering of (50.6,10.6,6.2)±0.1  meV satisfy both the experimental as well as swampland constraints.

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References (47)

  1. G. Aldazabal, S. Franco, L. E. Ibanez, R. Rabadan, and A. M. Uranga, Intersecting brane worlds, J. High Energy Phys. 02 (2001) 047.
  2. D. Cremades, L. E. Ibanez, and F. Marchesano, Yukawa couplings in intersecting D-brane models, J. High Energy Phys. 07 (2003) 038.
  3. E. Witten, D-branes and K-theory, J. High Energy Phys. 12 (1998) 019.
  4. A. M. Uranga, D-brane probes, RR tadpole cancellation and K-theory charge, Nucl. Phys. B598, 225 (2001).
  5. M. Cvetic, T. Li, and T. Liu, Supersymmetric Pati-Salam models from intersecting D6-branes: A road to the standard model, Nucl. Phys. B698, 163 (2004).
  6. R. Blumenhagen, B. Kors, D. Lust, and S. Stieberger, Four-dimensional string compactifications with D-branes, orientifolds and fluxes, Phys. Rep. 445, 1 (2007).
  7. R. Blumenhagen, M. Cvetic, P. Langacker, and G. Shiu, Toward realistic intersecting D-brane models, Annu. Rev. Nucl. Part. Sci. 55, 71 (2005).
  8. T. Li, A. Mansha, and R. Sun, Revisiting the supersymmetric Pati–Salam models from intersecting D6-branes, Eur. Phys. J. C 81, 82 (2021).
  9. T. Li, A. Mansha, R. Sun, L. Wu, and W. He, N=1 supersymmetric SU(12)C×SU(2)L×SU(2)R models, SU(4)C×SU(6)L×SU(2)R models, and SU(4)C×SU(2)L×SU(6)R models from intersecting D6-branes, Phys. Rev. D 104, 046018 (2021).
  10. A. Mansha, T. Li, M. Sabir, and L. Wu, Three-family supersymmetric Pati–Salam models with symplectic groups from intersecting D6-branes, Eur. Phys. J. C 84, 151 (2024).
  11. M. Sabir, T. Li, A. Mansha, and X.-C. Wang, The supersymmetry breaking soft terms, and fermion masses and mixings in the supersymmetric Pati-Salam model from intersecting D6-branes, J. High Energy Phys. 04 (2022) 089.
  12. A. Mansha, T. Li, and L. Wu, The hidden sector variations in the N=1 supersymmetric three-family Pati–Salam models from intersecting D6-branes, Eur. Phys. J. C 83, 1067 (2023).
  13. A. Mansha, T. Li, and M. Sabir, Revisiting the supersymmetric trinification models from intersecting D6-branes, Commun. Theor. Phys. 76, 095201 (2024).
  14. W. He, T. Li, and R. Sun, The complete search for the supersymmetric Pati-Salam models from intersecting D6-branes, J. High Energy Phys. 08 (2022) 044.
  15. S.-J. Lee, W. Lerche, and T. Weigand, Emergent strings from infinite distance limits, J. High Energy Phys. 02 (2022) 190.
  16. G. F. Casas, L. E. Ibáñez, and F. Marchesano, Yukawa couplings at infinite distance and swampland towers in chiral theories, J. High Energy Phys. 09 (2024) 170.
  17. G. F. Casas, L. E. Ibáñez, and F. Marchesano, On small Dirac neutrino masses in string theory, J. High Energy Phys. 01 (2025) 083.
  18. M. Sabir, A. Mansha, T. Li, and Z.-W. Wang, Fermion masses and mixings in the supersymmetric Pati-Salam landscape from Intersecting D6-Branes, J. High Energy Phys. 10 (2024) 252.
  19. M. Sabir, A. Mansha, T. Li, and Z.-W. Wang, Susy breaking soft terms in the supersymmetric Pati-Salam landscape from intersecting D6-branes, J. High Energy Phys. 01 (2025) 201.
  20. I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, J. a. P. Pinheiro, and T. Schwetz, NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations, J. High Energy Phys. 12 (2024) 216, www.nu-fit.org.
  21. A. G. Adame et al. (DESI Collaboration), DESI 2024 VI: Cosmological constraints from the measurements of baryon acoustic oscillations, J. Cosmol. Astropart. Phys. 02 (2025) 021.
  22. H. Ooguri and C. Vafa, Non-supersymmetric AdS and the Swampland, Adv. Theor. Math. Phys. 21, 1787 (2017).
  23. E. Gonzalo, L. E. Ibáñez, and I. Valenzuela, AdS swampland conjectures and light fermions, Phys. Lett. B 822, 136691 (2021).
  24. N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and G. Villadoro, Quantum horizons of the standard model landscape, J. High Energy Phys. 06 (2007) 078.
  25. J. M. Arnold, B. Fornal, and M. B. Wise, Standard model vacua for two-dimensional compactifications, J. High Energy Phys. 12 (2010) 083.
  26. L. E. Ibanez, V. Martin-Lozano, and I. Valenzuela, Constraining neutrino masses, the cosmological constant and BSM physics from the weak gravity conjecture, J. High Energy Phys. 11 (2017) 066.
  27. Y. Hamada and G. Shiu, Weak gravity conjecture, multiple point principle and the standard model landscape, J. High Energy Phys. 11 (2017) 043.
  28. E. Gonzalo, A. Herráez, and L. E. Ibáñez, AdS-phobia, the WGC, the standard model and supersymmetry, J. High Energy Phys. 06 (2018) 051.
  29. E. Gonzalo, L. E. Ibáñez, and I. Valenzuela, Swampland constraints on neutrino masses, J. High Energy Phys. 02 (2022) 088.
  30. A. Castellano, A. Herráez, and L. E. Ibáñez, Towers and hierarchies in the standard model from emergence in quantum gravity, J. High Energy Phys. 10 (2023) 172.
  31. L. A. Anchordoqui, I. Antoniadis, and J. Cunat, Dark dimension and the standard model landscape, Phys. Rev. D 109, 016028 (2024).
  32. C. D. Froggatt and H. B. Nielsen, Standard model criticality prediction: Top mass 173+−5−GeV and Higgs mass 135+−9−GeV, Phys. Lett. B 368, 96 (1996).
  33. D. Lüst, E. Palti, and C. Vafa, AdS and the Swampland, Phys. Lett. B 797, 134867 (2019).
  34. R. Blumenhagen, M. Cvetic, S. Kachru, and T. Weigand, D-brane instantons in Type II orientifolds, Annu. Rev. Nucl. Part. Sci. 59, 269 (2009).
  35. M. Cvetic and P. Langacker, D-instanton generated Dirac neutrino masses, Phys. Rev. D 78, 066012 (2008).
  36. L. E. Ibanez and R. Richter, Stringy instantons and Yukawa couplings in MSSM-like orientifold models, J. High Energy Phys. 03 (2009) 090.
  37. V. E. Mayes, All fermion masses and mixings in an intersecting D-brane world, Nucl. Phys. B950, 114848 (2020).
  38. R. Blumenhagen, M. Cvetic, and T. Weigand, Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models, Nucl. Phys. B771, 113 (2007).
  39. L. E. Ibanez and A. M. Uranga, Neutrino Majorana masses from string theory instanton effects, J. High Energy Phys. 03 (2007) 052.
  40. M. Cvetic, R. Richter, and T. Weigand, Computation of D-brane instanton induced superpotential couplings: Majorana masses from string theory, Phys. Rev. D 76, 086002 (2007).
  41. M. Cvetic, P. Langacker, T.-j. Li, and T. Liu, D6-brane splitting on type IIA orientifolds, Nucl. Phys. B709, 241 (2005).
  42. C.-M. Chen, T. Li, and D. V. Nanopoulos, Type IIA Pati-Salam flux vacua, Nucl. Phys. B740, 79 (2006).
  43. C.-M. Chen, T. Li, V. E. Mayes, and D. V. Nanopoulos, Towards realistic supersymmetric spectra and Yukawa textures from intersecting branes, Phys. Rev. D 77, 125023 (2008).
  44. S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
  45. M. Bona et al. (UTfit Collaboration), New UTfit analysis of the unitarity triangle in the Cabibbo-Kobayashi-Maskawa scheme, Rend. Lincei Sci. Fis. Nat. 34, 37 (2023), www.utfit.org.
  46. M. Montero, C. Vafa, and I. Valenzuela, The dark dimension and the Swampland, J. High Energy Phys. 02 (2023) 022.
  47. J. G. Lee, E. G. Adelberger, T. S. Cook, S. M. Fleischer, and B. R. Heckel, New test of the gravitational 1/r2 law at separations down to 52  μm, Phys. Rev. Lett. 124, 101101 (2020).

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