Advertisement

A Nonstandard Solution of the Fermionic Mass Hierarchy

  • Gauhar AbbasEmail author
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 234)

Abstract

We present a non-conventional solution of the fermionic mass hierarchy among and within the three fermionic families of the standard model and quark mixing using discrete abelian \(\mathcal {Z}_2\) symmetries and gauge singlet scalar fields. An ultraviolet completion with vector-like fermions is also presented.

Keywords

Fermionic mass hierarchy Discrete symmetries Vector-like fermions Singlet scalar fields 

References

  1. 1.
    G. Abbas, Int. J. Mod. Phys. A 34(20), 1950104 (2019). https://doi.org/10.1142/S0217751X19501045ADSMathSciNetCrossRefGoogle Scholar
  2. 2.
    G. Abbas, arXiv:1710.03582 [hep-ph]
  3. 3.
    G. Abbas, arXiv:1807.05683 [hep-ph]d
  4. 4.
    C.D. Froggatt, H.B. Nielsen, Nucl. Phys. B 147, 277 (1979).  https://doi.org/10.1016/0550-3213(79)90316-XADSCrossRefGoogle Scholar
  5. 5.
    B.S. Balakrishna, Phys. Rev. Lett. 60, 1602 (1988).  https://doi.org/10.1103/PhysRevLett.60.1602ADSCrossRefGoogle Scholar
  6. 6.
  7. 7.
    A. Davidson, L. Michel, M.L. Sage, K.C. Wali, Phys. Rev. D 49, 1378 (1994).  https://doi.org/10.1103/PhysRevD.49.1378ADSCrossRefGoogle Scholar
  8. 8.
    M. Leurer, Y. Nir, N. Seiberg, Nucl. Phys. B 420, 468 (1994).  https://doi.org/10.1016/0550-3213(94),90074-4[hep-ph/9310320]ADSCrossRefGoogle Scholar
  9. 9.
    N. Haba, T. Kondo, Y. Shimizu, Phys. Lett. B 535, 271 (2002).  https://doi.org/10.1016/S0370-2693(02)01774-4 [hep-ph/0202191]ADSCrossRefGoogle Scholar
  10. 10.
    K.S. Babu, S. Nandi, Phys. Rev. D 62, 033002 (2000).  https://doi.org/10.1103/PhysRevD.62.033002 [hep-ph/9907213]
  11. 11.
    G.G. Ross, L. Velasco-Sevilla, Nucl. Phys. B 653, 3 (2003).  https://doi.org/10.1016/S0550-3213(03)00041-5 [hep-ph/0208218]ADSCrossRefGoogle Scholar
  12. 12.
    G.F. Giudice, O. Lebedev, Phys. Lett. B 665, 79 (2008).  https://doi.org/10.1016/j.physletb.2008.05.062 [arXiv:0804.1753 [hep-ph]]ADSCrossRefGoogle Scholar
  13. 13.
    F. Bazzocchi, S. Morisi, M. Picariello, E. Torrente-Lujan, J. Phys. G 36, 015002 (2009).  https://doi.org/10.1088/0954-3899/36/1/015002. arXiv:0802.1693 [hep-ph]ADSCrossRefGoogle Scholar
  14. 14.
    S.F. King, JHEP 1401, 119 (2014).  https://doi.org/10.1007/JHEP01(2014)119. arXiv:1311.3295 [hep-ph]
  15. 15.
    H. Ishimori, S.F. King, H. Okada, M. Tanimoto, Phys. Lett. B 743, 172 (2015).  https://doi.org/10.1016/j.physletb.2015.02.027. arXiv:1411.5845 [hep-ph]ADSCrossRefGoogle Scholar
  16. 16.
    F. Hartmann, W. Kilian, Eur. Phys. J. C 74, 3055 (2014).  https://doi.org/10.1140/epjc/s10052-014-3055-4. arXiv:1405.1901 [hep-ph]
  17. 17.
    C.E. Daz, S.F. Mantilla, R. Martinez, arXiv:1712.07263 [hep-ph]
  18. 18.
  19. 19.
  20. 20.
  21. 21.
    N. Arkani-Hamed, M. Schmaltz, Phys. Rev. D 61, 033005 (2000).  https://doi.org/10.1103/PhysRevD.61.033005 [hep-ph/9903417]
  22. 22.
    K. Yoshioka, Mod. Phys. Lett. A 15, 29 (2000).  https://doi.org/10.1142/S0217732300000062,10.1016/S0217-7323(00)00006-2 [hep-ph/9904433]
  23. 23.
    E.A. Mirabelli, M. Schmaltz, Phys. Rev. D 61, 113011 (2000).  https://doi.org/10.1103/PhysRevD.61.113011 [hep-ph/9912265]
  24. 24.
    K.S. Babu, E. Ma, J.W.F. Valle, Phys. Lett. B 552, 207 (2003).  https://doi.org/10.1016/S0370-2693(02)03153-2 [hep-ph/0206292]ADSCrossRefGoogle Scholar
  25. 25.
    H. Georgi, A.E. Nelson, A. Manohar, Phys. Lett. 126B, 169 (1983).  https://doi.org/10.1016/0370-2693(83)90584-1ADSCrossRefGoogle Scholar
  26. 26.
    B.S. Balakrishna, A.L. Kagan, R.N. Mohapatra, Phys. Lett. B 205, 345 (1988).  https://doi.org/10.1016/0370-2693(88)91676-0ADSCrossRefGoogle Scholar
  27. 27.
    K.S. Babu, R.N. Mohapatra, Phys. Rev. Lett. 64, 2747 (1990).  https://doi.org/10.1103/PhysRevLett.64.2747ADSCrossRefGoogle Scholar
  28. 28.
    Z.G. Berezhiani, R. Rattazzi, Nucl. Phys. B 407, 249 (1993).  https://doi.org/10.1016/0550-3213(93)90057-V [hep-ph/9212245]ADSCrossRefGoogle Scholar
  29. 29.
    J.K. Elwood, N. Irges, P. Ramond, Phys. Lett. B 413, 322 (1997).  https://doi.org/10.1016/S0370-2693(97)01103-9 [hep-ph/9705270]ADSMathSciNetCrossRefGoogle Scholar
  30. 30.
    J.R. Ellis, S. Lola, G.G. Ross, Nucl. Phys. B 526, 115 (1998).  https://doi.org/10.1016/S0550-3213(98)00423-4 [hep-ph/9803308]ADSCrossRefGoogle Scholar
  31. 31.
    R. Barbieri, L.J. Hall, A. Romanino, Nucl. Phys. B 551, 93 (1999)  https://doi.org/10.1016/S0550-3213(99)00215-1 [hep-ph/9812384]ADSCrossRefGoogle Scholar
  32. 32.
    I. Dorsner, S.M. Barr, Phys. Rev. D 65, 095004 (2002).  https://doi.org/10.1103/PhysRevD.65.095004[hep-ph/0201207]
  33. 33.
    M. Bauer, M. Carena, K. Gemmler, JHEP 1511, 016 (2015). 10.1007/JHEP11(2015)016. arXiv:1506.01719 [hep-ph]
  34. 34.
    R.S. Hundi, S. SenGupta, J. Phys. G 40, 075002 (2013).  https://doi.org/10.1088/0954-3899/40/7/075002. arXiv:1111.1106 [hep-th]ADSCrossRefGoogle Scholar
  35. 35.
    J.B. Dent, R. Feger, T.W. Kephart, S. Nandi, Phys. Lett. B 697, 367 (2011).  https://doi.org/10.1016/j.physletb.2011.02.028. arXiv:0908.3915 [hep-ph]ADSCrossRefGoogle Scholar
  36. 36.
    M. Bauer, M. Carena, K. Gemmler, Phys. Rev. D 94(11), 115030 (2016).  https://doi.org/10.1103/PhysRevD.94.115030. arXiv:1512.03458 [hep-ph]
  37. 37.
    K. Huitu, N. Koivunen, arXiv:1706.09463 [hep-ph]
  38. 38.
    F.J. Botella, G.C. Branco, M.N. Rebelo, J.I. Silva-Marcos, Phys. Rev. D 94(11), 115031 (2016).  https://doi.org/10.1103/PhysRevD.94.115031. arXiv:1602.08011 [hep-ph]
  39. 39.
    M. Bordone, C. Cornella, J. Fuentes-Martin, G. Isidori, Phys. Lett. B 779, 317 (2018).  https://doi.org/10.1016/j.physletb.2018.02.011. arXiv:1712.01368 [hep-ph]ADSCrossRefGoogle Scholar
  40. 40.
    G. Abbas, Phys. Rev. D 95(1), 015029 (2017).  https://doi.org/10.1103/PhysRevD.95.015029. arXiv:1609.02899 [hep-ph]
  41. 41.
    G. Abbas, arXiv:1706.01052 [hep-ph]
  42. 42.
  43. 43.
    D.B. Kaplan, H. Georgi, Phys. Lett. 136B, 183 (1984).  https://doi.org/10.1016/0370-2693(84)91177-8ADSCrossRefGoogle Scholar
  44. 44.
    D.B. Kaplan, H. Georgi, S. Dimopoulos, Phys. Lett. 136B, 187 (1984).  https://doi.org/10.1016/0370-2693(84)91178-XADSCrossRefGoogle Scholar
  45. 45.
    K. Agashe, R. Contino, A. Pomarol, Nucl. Phys. B 719, 165 (2005).  https://doi.org/10.1016/j.nuclphysb.2005.04.035[hep-ph/0412089]ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of PhysicsIndian Institute of Technology (BHU)VaranasiIndia

Personalised recommendations