Skip to main content
Log in

Bimaximal mixing and large θ 13 in a SUSY SU(5) model based on S 4

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

The recent analyses of the world neutrino data, including the T2K and MINOS results, point toward a statistically significant deviation of θ 13 from zero. In this paper we present a SUSY SU(5) model based on the discrete S 4 group which predicts a large \( {\theta_{13}} \sim \mathcal{O}\left( {{\lambda_C}} \right) \), λ C being the Cabibbo angle. The other mixing angles in the neutrino sector are all compatible with current experimental data. In the quark sector, the entries of the CKM mixing matrix as well as the mass hierarchies in both up and down quark sectors are well reproduced and only a small enhancement is needed to reproduce λ C .

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. T2K collaboration, K. Abe et al., Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam, Phys. Rev. Lett. 107 (2011) 041801 [arXiv:1106.2822] [SPIRES].

    Article  ADS  Google Scholar 

  2. T. Schwetz, M. Tortola and J.W.F. Valle, Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters, New J. Phys. 13 (2011) 063004 [arXiv:1103.0734] [SPIRES].

    Article  ADS  Google Scholar 

  3. G.L. Fogli, E. Lisi, A. Marrone, A. Palazzo and A.M. Rotunno, Hints of θ 13 > 0 from global neutrino data analysis, Phys. Rev. Lett. 101 (2008) 141801 [arXiv:0806.2649] [SPIRES].

    Article  ADS  Google Scholar 

  4. M.C. Gonzalez-Garcia, M. Maltoni and J. Salvado, Updated global fit to three neutrino mixing: status of the hints of θ 13 > 0, JHEP 04 (2010) 056 [arXiv:1001.4524] [SPIRES].

    Article  ADS  Google Scholar 

  5. G.L. Fogli, E. Lisi, A. Marrone, A. Palazzo and A.M. Rotunno, Evidence of θ 13 > 0 from global neutrino data analysis, arXiv:1106.6028 [SPIRES].

  6. MINOS collaboration], L. Whitehead, Recent results from MINOS, http://theory.fnal.gov/jetp/.

  7. T.A. Mueller et al., Improved Predictions of Reactor Antineutrino Spectra, Phys. Rev. C 83 (2011) 054615 [arXiv:1101.2663] [SPIRES].

    ADS  Google Scholar 

  8. P.F. Harrison, D.H. Perkins and W.G. Scott, Tri-bimaximal mixing and the neutrino oscillation data, Phys. Lett. B 530 (2002) 167 [hep-ph/0202074] [SPIRES].

    ADS  Google Scholar 

  9. P.F. Harrison and W.G. Scott, Symmetries and generalisations of tri-bimaximal neutrino mixing, Phys. Lett. B 535 (2002) 163 [hep-ph/0203209] [SPIRES].

    ADS  Google Scholar 

  10. Z.-z. Xing, Nearly tri-bimaximal neutrino mixing and CP-violation, Phys. Lett. B 533 (2002) 85 [hep-ph/0204049] [SPIRES].

    ADS  Google Scholar 

  11. P.F. Harrison and W.G. Scott, μ-τ reflection symmetry in lepton mixing and neutrino oscillations, Phys. Lett. B 547 (2002) 219 [hep-ph/0210197] [SPIRES].

    ADS  Google Scholar 

  12. P.F. Harrison and W.G. Scott, Permutation symmetry, tri-bimaximal neutrino mixing and the S3 group characters, Phys. Lett. B 557 (2003) 76 [hep-ph/0302025] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  13. P.F. Harrison and W.G. Scott, Status of tri-/bi-maximal neutrino mixing, hep-ph/0402006 [SPIRES].

  14. P.F. Harrison and W.G. Scott, The simplest neutrino mass matrix, Phys. Lett. B 594 (2004) 324 [hep-ph/0403278] [SPIRES].

    ADS  Google Scholar 

  15. G. Altarelli and F. Feruglio, Discrete Flavor Symmetries and Models of Neutrino Mixing, Rev. Mod. Phys. 82 (2010) 2701 [arXiv:1002.0211] [SPIRES].

    Article  ADS  Google Scholar 

  16. Y. Lin, Tri-bimaximal Neutrino Mixing from A 4 and θ 13 ∼ θ C , Nucl. Phys. B 824 (2010) 95 [arXiv:0905.3534] [SPIRES].

    Article  ADS  Google Scholar 

  17. G. Altarelli, F. Feruglio and L. Merlo, Revisiting Bimaximal Neutrino Mixing in a Model with S 4 Discrete Symmetry, JHEP 05 (2009) 020 [arXiv:0903.1940] [SPIRES].

    Article  ADS  Google Scholar 

  18. K.M. Patel, An SO(10) × S 4 Model of Quark-Lepton Complementarity, Phys. Lett. B 695 (2011) 225 [arXiv:1008.5061] [SPIRES].

    ADS  Google Scholar 

  19. R. de Adelhart Toorop, F. Bazzocchi and L. Merlo, The Interplay Between GUT and Flavour Symmetries in a Pati-Salam × S 4 Model, JHEP 08 (2010) 001 [arXiv:1003.4502] [SPIRES].

    Article  Google Scholar 

  20. G.-J. Ding, SUSY adjoint SU(5) grand unified model with S 4 flavor symmetry, Nucl. Phys. B 846 (2011) 394 [arXiv:1006.4800] [SPIRES].

    Article  ADS  Google Scholar 

  21. H. Ishimori, K. Saga, Y. Shimizu and M. Tanimoto, Tri-bimaximal Mixing and Cabibbo Angle in S 4 Flavor Model with SUSY, Phys. Rev. D 81 (2010) 115009 [arXiv:1004.5004] [SPIRES].

    ADS  Google Scholar 

  22. C. Hagedorn, S.F. King and C. Luhn, A SUSY GUT of Flavour with S 4 × SU(5) to NLO, JHEP 06 (2010) 048 [arXiv:1003.4249] [SPIRES].

    Article  ADS  Google Scholar 

  23. H. Ishimori, Y. Shimizu and M. Tanimoto, S 4 Flavor Symmetry of Quarks and Leptons in SU(5) GUT, Prog. Theor. Phys. 121 (2009) 769 [arXiv:0812.5031] [SPIRES].

    Article  ADS  MATH  Google Scholar 

  24. E. Witten, Symmetry Breaking Patterns in Superstring Models, Nucl. Phys. B 258 (1985) 75 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  25. Y. Kawamura, Triplet-doublet splitting, proton stability and extra dimension, Prog. Theor. Phys. 105 (2001) 999 [hep-ph/0012125] [SPIRES].

    Article  ADS  Google Scholar 

  26. A.E. Faraggi, Doublet-triplet splitting in realistic heterotic string derived models, Phys. Lett. B 520 (2001) 337 [hep-ph/0107094] [SPIRES].

    ADS  Google Scholar 

  27. L.J. Hall and Y. Nomura, Gauge unification in higher dimensions, Phys. Rev. D 64 (2001) 055003 [hep-ph/0103125] [SPIRES].

    ADS  Google Scholar 

  28. Y. Nomura, Strongly coupled grand unification in higher dimensions, Phys. Rev. D 65 (2002) 085036 [hep-ph/0108170] [SPIRES].

    ADS  Google Scholar 

  29. L.J. Hall and Y. Nomura, A complete theory of grand unification in five dimensions, Phys. Rev. D 66 (2002) 075004 [hep-ph/0205067] [SPIRES].

    ADS  Google Scholar 

  30. G. Altarelli and F. Feruglio, SU(5) grand unification in extra dimensions and proton decay, Phys. Lett. B 511 (2001) 257 [hep-ph/0102301] [SPIRES].

    ADS  Google Scholar 

  31. A. Hebecker and J. March-Russell, A minimal S 1 /(Z 2 × Z 2 ) orbifold GUT, Nucl. Phys. B 613 (2001) 3 [hep-ph/0106166] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  32. A. Hebecker and J. March-Russell, The flavour hierarchy and see-saw neutrinos from bulk masses in 5d orbifold GUTs, Phys. Lett. B 541 (2002) 338 [hep-ph/0205143] [SPIRES].

    ADS  Google Scholar 

  33. G. Altarelli, F. Feruglio and C. Hagedorn, A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A 4, JHEP 03 (2008) 052 [arXiv:0802.0090] [SPIRES].

    Article  ADS  Google Scholar 

  34. G. Altarelli and F. Feruglio, Tri-Bimaximal Neutrino Mixing, A 4 and the Modular Symmetry, Nucl. Phys. B 741 (2006) 215 [hep-ph/0512103] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  35. B. Pontecorvo, Mesonium and antimesonium, Sov. Phys. JETP 6 (1957) 429. [Zh. Eksp. Teor. Fiz. 33 (1957) 549] [SPIRES].

    ADS  Google Scholar 

  36. Z. Maki, M. Nakagawa and S. Sakata, Remarks on the unified model of elementary particles, Prog. Theor. Phys. 28 (1962) 870 [SPIRES].

    Article  ADS  MATH  Google Scholar 

  37. KATRIN collaboration, A. Osipowicz et al., KATRIN: A next generation tritium beta decay experiment with sub-eV sensitivity for the electron neutrino mass, hep-ex/0109033 [SPIRES].

  38. http://www-ik.fzk.de/katrin/index.html.

  39. CUORE collaboration, A. Giuliani, From Cuoricino to CUORE: Investigating the inverted hierarchy region of neutrino mass, J. Phys. Conf. Ser. 120 (2008) 052051.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Davide Meloni.

Additional information

ArXiv ePrint: 1107.0221

Rights and permissions

Reprints and permissions

About this article

Cite this article

Meloni, D. Bimaximal mixing and large θ 13 in a SUSY SU(5) model based on S 4 . J. High Energ. Phys. 2011, 10 (2011). https://doi.org/10.1007/JHEP10(2011)010

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP10(2011)010

Keywords

Navigation