Effective two Higgs doublets in nonminimal supersymmetric models

  • Ernest Ma
  • Markos ManiatisEmail author
Regular Article - Theoretical Physics


The Higgs sectors of supersymmetric extensions of the Standard Model have two doublets in the minimal version (MSSM), and two doublets plus a singlet in two others: with (UMSSM) and without (NMSSM) an extra U(1)′. A very concise comparison of these three models is possible if we assume that the singlet has a somewhat larger breaking scale compared to the electroweak scale. In that case, the UMSSM and the NMSSM become effectively two-Higgs-doublet models (THDM), like the MSSM. In this approach the well-known upper mass bounds on the lightest CP-even neutral Higgs boson can be derived in a very simple and transparent way.


Higgs Boson Higgs Sector Supersymmetric Model Electroweak Scale Higgs Potential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    J.F. Gunion, H.E. Haber, Nucl. Phys. B 272, 1 (1986) ADSCrossRefGoogle Scholar
  2. 2.
    J.F. Gunion, H.E. Haber, Nucl. Phys. B 278, 449 (1986) ADSCrossRefGoogle Scholar
  3. 3.
    S.P. Martin, A supersymmetry primer. arXiv:hep-ph/9709356
  4. 4.
    J.E. Kim, H.P. Nilles, Phys. Lett. B 138, 150 (1984) ADSCrossRefMathSciNetGoogle Scholar
  5. 5.
    S. Schael et al. (ALEPH, DELPHI, and L3 collaboration), Search for neutral MSSM Higgs bosons at LEP. Eur. Phys. J. C 47, 547 (2006). arXiv:hep-ex/0602042 ADSCrossRefGoogle Scholar
  6. 6.
    P. Fayet, Supersymmetry and weak, electromagnetic and strong interactions. Phys. Lett. B 64, 159 (1976) ADSCrossRefGoogle Scholar
  7. 7.
    P. Fayet, Spontaneously broken supersymmetric theories of weak, electromagnetic and strong interactions. Phys. Lett. B 69, 489 (1977) ADSCrossRefGoogle Scholar
  8. 8.
    G.R. Farrar, P. Fayet, Phenomenology of the production, decay, and detection of new hadronic states associated with supersymmetry. Phys. Lett. B 76, 575 (1978) ADSCrossRefGoogle Scholar
  9. 9.
    M. Cvetic, P. Langacker, Implications of Abelian extended gauge structures from string models. Phys. Rev. D 54, 3570 (1996). arXiv:hep-ph/9511378 ADSCrossRefGoogle Scholar
  10. 10.
    M. Cvetic, P. Langacker, New gauge bosons from string models. Mod. Phys. Lett. A 11, 1247 (1996). arXiv:hep-ph/9602424 ADSzbMATHCrossRefMathSciNetGoogle Scholar
  11. 11.
    M. Cvetic, D.A. Demir, J.R. Espinosa, L.L. Everett, P. Langacker, Electroweak breaking and the mu problem in supergravity models with an additional U(1). Phys. Rev. D 56, 2861 (1997); [Erratum-ibid. D 58, 119905 (1998)]. arXiv:hep-ph/9703317 ADSCrossRefGoogle Scholar
  12. 12.
    E. Keith, E. Ma, Generic consequences of a supersymmetric U(1) gauge factor at the TeV scale. Phys. Rev. D 56, 7155 (1997). arXiv:hep-ph/9704441 ADSCrossRefGoogle Scholar
  13. 13.
    M. Maniatis, The next-to-minimal supersymmetric extension of the standard model reviewed. Int. J. Mod. Phys. A 25, 3505 (2010). arXiv:0906.0777 ADSzbMATHCrossRefMathSciNetGoogle Scholar
  14. 14.
    U. Ellwanger, C. Hugonie, A.M. Teixeira, The next-to-minimal supersymmetric standard model. Phys. Rep. 496, 1–77 (2010). arXiv:0910.1785 ADSCrossRefMathSciNetGoogle Scholar
  15. 15.
    S.A. Abel, S. Sarkar, P.L. White, Nucl. Phys. B 454, 663 (1995). arXiv:hep-ph/9506359 ADSCrossRefGoogle Scholar
  16. 16.
    J. Bagger, E. Poppitz, L. Randall, Nucl. Phys. B 455, 59 (1995). arXiv:hep-ph/9505244 ADSzbMATHCrossRefMathSciNetGoogle Scholar
  17. 17.
    S.A. Abel, Nucl. Phys. B 480, 55 (1996). arXiv:hep-ph/9609323 ADSCrossRefGoogle Scholar
  18. 18.
    C. Panagiotakopoulos, K. Tamvakis, Phys. Lett. B 446, 224–227 (1999). arXiv:hep-ph/9809475 ADSCrossRefGoogle Scholar
  19. 19.
    P. Fayet, Phys. Lett. B 95, 285 (1980) ADSCrossRefGoogle Scholar
  20. 20.
    V. Barger, P. Langacker, H.S. Lee, G. Shaughnessy, Higgs sector in extensions of the MSSM. Phys. Rev. D 73, 115010 (2006). arXiv:hep-ph/0603247 ADSCrossRefGoogle Scholar
  21. 21.
    D.J. Miller, R. Nevzorov, P.M. Zerwas, The Higgs sector of the next-to-minimal supersymmetric standard model. Nucl. Phys. B 681, 3 (2004). arXiv:hep-ph/0304049 ADSCrossRefGoogle Scholar
  22. 22.
    P. Fayet, Nucl. Phys. B 90, 104–124 (1975) ADSCrossRefGoogle Scholar
  23. 23.
    C. Panagiotakopoulos, K. Tamvakis, New minimal extension of MSSM. Phys. Lett. B 469, 145–148 (1999). arXiv:hep-ph/9908351 ADSCrossRefGoogle Scholar
  24. 24.
    A.T. Davies, C.D. Froggatt, R.G. Moorhouse, Phys. Lett. B 372, 88–94 (1996). arXiv:hep-ph/9603388 ADSCrossRefGoogle Scholar
  25. 25.
    S.J. Huber, M.G. Schmidt, Eur. Phys. J. C 10, 473–481 (1999). arXiv:hep-ph/9809506 ADSGoogle Scholar
  26. 26.
    J. Erler, P. Langacker, T.-j. Li, Phys. Rev. D 66, 015002 (2002). arXiv:hep-ph/0205001 ADSCrossRefGoogle Scholar
  27. 27.
    A. Delgado, C. Kolda, J.P. Olson, A. de la Puente, The SUSY Higgs mass: the singlet saves the day. arXiv:1005.1282
  28. 28.
    F. Nagel, PhD thesis (Heidelberg, 2004). New aspects of gauge-boson couplings and the Higgs sector. /spires/find/hep/www?irn=6461018 SPIRES entry
  29. 29.
    M. Maniatis, A. von Manteuffel, O. Nachtmann, F. Nagel, Stability and symmetry breaking in the general two-Higgs-doublet model. Eur. Phys. J. C 48, 805 (2006). arXiv:hep-ph/0605184 ADSCrossRefGoogle Scholar
  30. 30.
    C.C. Nishi, CP violation conditions in N-Higgs-doublet potentials. Phys. Rev. D 74, 036003 (2006); [Erratum-ibid. D 76, 119901 (2007)]. arXiv:hep-ph/0605153 ADSCrossRefGoogle Scholar
  31. 31.
    M. Maniatis, A. von Manteuffel, O. Nachtmann, CP violation in the general two-Higgs-doublet model: a geometric view. Eur. Phys. J. C 57, 719 (2008). arXiv:0707.3344 ADSCrossRefGoogle Scholar
  32. 32.
    H.E. Haber, R. Hempfling, The Renormalization group improved Higgs sector of the minimal supersymmetric model. Phys. Rev. D 48, 4280 (1993). arXiv:hep-ph/9307201 ADSCrossRefGoogle Scholar
  33. 33.
    H.E. Haber, R. Hempfling, Can the mass of the lightest Higgs boson of the minimal supersymmetric model be larger than m(Z)? Phys. Rev. Lett. 66, 1815 (1991) ADSCrossRefGoogle Scholar
  34. 34.
    E. Ma, M. Maniatis, Symbiotic symmetries of the two-Higgs-doublet model. Phys. Lett. B 683, 33 (2010). arXiv:0909.2855 ADSCrossRefGoogle Scholar
  35. 35.
    B. Grzadkowski, M. Maniatis, J. Wudka, Note on custodial symmetry in the two-Higgs-doublet model. arXiv:1011.5228
  36. 36.
    K. Tobe, J.D. Wells, Higgs boson mass limits in perturbative unification theories. Phys. Rev. D 66, 013010 (2002). arXiv:hep-ph/0204196 ADSCrossRefGoogle Scholar
  37. 37.
    A. Birkedal, Z. Chacko, Y. Nomura, Relaxing the upper bound on the mass of the lightest supersymmetric Higgs boson. Phys. Rev. D 71, 015006 (2005). arXiv:hep-ph/0408329 ADSCrossRefGoogle Scholar
  38. 38.
    R. Franceschini, S. Gori, Solving the mu problem with a heavy Higgs boson. arXiv:1005.1070

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2011

Authors and Affiliations

  1. 1.Department of Physics and AstronomyUniversity of CaliforniaRiversideUSA
  2. 2.Institut für Theoretische PhysikUniversity of HeidelbergHeidelbergGermany

Personalised recommendations