Scalar sector properties of two-Higgs-doublet models with a global U(1) symmetry

  • Gautam BhattacharyyaEmail author
  • Dipankar Das
  • Palash B. Pal
  • M. N. Rebelo


We analyze the scalar sector properties of a general class of two-Higgs-doublet models which has a global U(1) symmetry in the quartic terms. We find constraints on the parameters of the potential from the considerations of unitarity of scattering amplitudes, the global stability of the potential and the ρ-parameter. We concentrate on the spectrum of the non-standard scalar masses in the decoupling limit which is preferred by the Higgs data at the LHC. We exhibit charged-Higgs induced contributions to the diphoton decay width of the 125 GeV Higgs boson and its correlation with the corresponding Zγ width.


Higgs Physics Beyond Standard Model 


  1. [1]
    ATLAS collaboration, Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].ADSGoogle Scholar
  2. [2]
    CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].ADSGoogle Scholar
  3. [3]
    CMS collaboration, Study of the mass and spin-parity of the Higgs boson candidate via its decays to Z boson pairs, Phys. Rev. Lett. 110 (2013) 081803 [arXiv:1212.6639] [INSPIRE].ADSCrossRefGoogle Scholar
  4. [4]
    P. Ferreira, R. Santos, M. Sher and J.P. Silva, Implications of the LHC two-photon signal for two-Higgs-doublet models, Phys. Rev. D 85 (2012) 077703 [arXiv:1112.3277] [INSPIRE].ADSGoogle Scholar
  5. [5]
    P. Ferreira, R. Santos, M. Sher and J.P. Silva, Could the LHC two-photon signal correspond to the heavier scalar in two-Higgs-doublet models?, Phys. Rev. D 85 (2012) 035020 [arXiv:1201.0019] [INSPIRE].ADSGoogle Scholar
  6. [6]
    B. Swiezewska and M. Krawczyk, Diphoton rate in the Inert Doublet Model with a 125 GeV Higgs boson, Phys. Rev. D 88 (2013) 035019 [arXiv:1212.4100] [INSPIRE].ADSGoogle Scholar
  7. [7]
    A. Drozd, B. Grzadkowski, J.F. Gunion and Y. Jiang, Two-Higgs-doublet models and enhanced rates for a 125 GeV Higgs, JHEP 05 (2013) 072 [arXiv:1211.3580] [INSPIRE].ADSCrossRefGoogle Scholar
  8. [8]
    S. Chang et al., Comprehensive study of two Higgs doublet model in light of the new boson with mass around 125 GeV, JHEP 05 (2013) 075 [arXiv:1210.3439] [INSPIRE].ADSCrossRefGoogle Scholar
  9. [9]
    N. Craig, J. Galloway and S. Thomas, Searching for signs of the second Higgs doublet, arXiv:1305.2424 [INSPIRE].
  10. [10]
    C.-W. Chiang and K. Yagyu, Implications of Higgs boson search data on the two-Higgs doublet models with a softly broken Z 2 symmetry, JHEP 07 (2013) 160 [arXiv:1303.0168] [INSPIRE].ADSCrossRefGoogle Scholar
  11. [11]
    Y. Jiang, 125 GeV Higgs bosons in two-Higgs-doublet models, arXiv:1305.2988 [INSPIRE].
  12. [12]
    C.-Y. Chen, S. Dawson and M. Sher, Heavy Higgs searches and constraints on two Higgs doublet models, Phys. Rev. D 88 (2013) 015018 [arXiv:1305.1624] [INSPIRE].ADSGoogle Scholar
  13. [13]
    O. Eberhardt, U. Nierste and M. Wiebusch, Status of the two-Higgs-doublet model of type-II, arXiv:1305.1649 [INSPIRE].
  14. [14]
    L. Basso et al., The CP-violating type-II 2HDM and charged Higgs boson benchmarks, PoS(Corfu2012)029 [arXiv:1305.3219] [INSPIRE].
  15. [15]
    B. Swiezewska and M. Krawczyk, 2-photon decay rate of the scalar boson in the inert doublet model, arXiv:1305.7356 [INSPIRE].
  16. [16]
    G. Branco et al., Theory and phenomenology of two-Higgs-doublet models, Phys. Rept. 516 (2012) 1 [arXiv:1106.0034] [INSPIRE].ADSCrossRefGoogle Scholar
  17. [17]
    S.L. Glashow and S. Weinberg, Natural conservation laws for neutral currents, Phys. Rev. D 15 (1977) 1958 [INSPIRE].ADSGoogle Scholar
  18. [18]
    E. Paschos, Diagonal neutral currents, Phys. Rev. D 15 (1977) 1966 [INSPIRE].ADSGoogle Scholar
  19. [19]
    Y. Grossman, Phenomenology of models with more than two Higgs doublets, Nucl. Phys. B 426 (1994) 355 [hep-ph/9401311] [INSPIRE].ADSCrossRefGoogle Scholar
  20. [20]
    A.S. Joshipura and S.D. Rindani, Naturally suppressed flavor violations in two Higgs doublet models, Phys. Lett. B 260 (1991) 149 [INSPIRE].ADSCrossRefGoogle Scholar
  21. [21]
    A. Antaramian, L.J. Hall and A. Rasin, Flavor changing interactions mediated by scalars at the weak scale, Phys. Rev. Lett. 69 (1992) 1871 [hep-ph/9206205] [INSPIRE].ADSCrossRefGoogle Scholar
  22. [22]
    L.J. Hall and S. Weinberg, Flavor changing scalar interactions, Phys. Rev. D 48 (1993) 979 [hep-ph/9303241] [INSPIRE].ADSGoogle Scholar
  23. [23]
    G. Branco, W. Grimus and L. Lavoura, Relating the scalar flavor changing neutral couplings to the CKM matrix, Phys. Lett. B 380 (1996) 119 [hep-ph/9601383] [INSPIRE].ADSCrossRefGoogle Scholar
  24. [24]
    F. Botella, G. Branco and M. Rebelo, Minimal flavour violation and multi-Higgs models, Phys. Lett. B 687 (2010) 194 [arXiv:0911.1753] [INSPIRE].ADSCrossRefGoogle Scholar
  25. [25]
    F. Botella, G. Branco, M. Nebot and M. Rebelo, Two-Higgs leptonic minimal flavour violation, JHEP 10 (2011) 037 [arXiv:1102.0520] [INSPIRE].ADSCrossRefGoogle Scholar
  26. [26]
    G. D’Ambrosio, G. Giudice, G. Isidori and A. Strumia, Minimal flavor violation: an effective field theory approach, Nucl. Phys. B 645 (2002) 155 [hep-ph/0207036] [INSPIRE].ADSCrossRefGoogle Scholar
  27. [27]
    P. Ferreira and D. Jones, Bounds on scalar masses in two Higgs doublet models, JHEP 08 (2009) 069 [arXiv:0903.2856] [INSPIRE].ADSCrossRefGoogle Scholar
  28. [28]
    J.F. Gunion, H.E. Haber, G. Kane and S. Dawson, The Higgs hunters guide, Perseus Publishing, Cambridge U.S.A. (1990).Google Scholar
  29. [29]
    A. Djouadi, V. Driesen, W. Hollik and A. Kraft, The Higgs photonZ boson coupling revisited, Eur. Phys. J. C 1 (1998) 163 [hep-ph/9701342] [INSPIRE].ADSGoogle Scholar
  30. [30]
    M. Sher, Electroweak Higgs potentials and vacuum stability, Phys. Rept. 179 (1989) 273 [INSPIRE].ADSCrossRefGoogle Scholar
  31. [31]
    J.F. Gunion and H.E. Haber, The CP conserving two Higgs doublet model: The Approach to the decoupling limit, Phys. Rev. D 67 (2003) 075019 [hep-ph/0207010] [INSPIRE].ADSGoogle Scholar
  32. [32]
    B.W. Lee, C. Quigg and H. Thacker, Weak interactions at very high-energies: the role of the Higgs boson mass, Phys. Rev. D 16 (1977) 1519 [INSPIRE].ADSGoogle Scholar
  33. [33]
    J. Maalampi, J. Sirkka and I. Vilja, Tree level unitarity and triviality bounds for two Higgs models, Phys. Lett. B 265 (1991) 371 [INSPIRE].ADSCrossRefGoogle Scholar
  34. [34]
    S. Kanemura, T. Kubota and E. Takasugi, Lee-Quigg-Thacker bounds for Higgs boson masses in a two doublet model, Phys. Lett. B 313 (1993) 155 [hep-ph/9303263] [INSPIRE].ADSCrossRefGoogle Scholar
  35. [35]
    A.G. Akeroyd, A. Arhrib and E.-M. Naimi, Note on tree level unitarity in the general two Higgs doublet model, Phys. Lett. B 490 (2000) 119 [hep-ph/0006035] [INSPIRE].ADSCrossRefGoogle Scholar
  36. [36]
    J. Horejsi and M. Kladiva, Tree-unitarity bounds for THDM Higgs masses revisited, Eur. Phys. J. C 46 (2006) 81 [hep-ph/0510154] [INSPIRE].ADSCrossRefGoogle Scholar
  37. [37]
    Particle Data Group collaboration, J. Beringer et al., Review of particle physics, Phys. Rev. D 86 (2012) 010001 [INSPIRE].ADSGoogle Scholar
  38. [38]
    H.-J. He, N. Polonsky and S.-F. Su, Extra families, Higgs spectrum and oblique corrections, Phys. Rev. D 64 (2001) 053004 [hep-ph/0102144] [INSPIRE].ADSGoogle Scholar
  39. [39]
    W. Grimus, L. Lavoura, O. Ogreid and P. Osland, A precision constraint on multi-Higgs-doublet models, J. Phys. G 35 (2008) 075001 [arXiv:0711.4022] [INSPIRE].ADSCrossRefGoogle Scholar
  40. [40]
    M. Baak and R. Kogler, The global electroweak standard model fit after the Higgs discovery, arXiv:1306.0571 [INSPIRE].
  41. [41]
    F. Larios, G. Tavares-Velasco and C. Yuan, A very light CP odd scalar in the two Higgs doublet model, Phys. Rev. D 64 (2001) 055004 [hep-ph/0103292] [INSPIRE].ADSGoogle Scholar
  42. [42]
    F. Larios, G. Tavares-Velasco and C. Yuan, Update on a very light CP odd scalar in the two Higgs doublet model, Phys. Rev. D 66 (2002) 075006 [hep-ph/0205204] [INSPIRE].ADSGoogle Scholar
  43. [43]
    E. Cervero and J.-M. Gerard, Minimal violation of flavour and custodial symmetries in a vectophobic two-Higgs-doublet-model, Phys. Lett. B 712 (2012) 255 [arXiv:1202.1973] [INSPIRE].ADSCrossRefGoogle Scholar
  44. [44]
    A. Djouadi, The Anatomy of electro-weak symmetry breaking. I: the Higgs boson in the standard model, Phys. Rept. 457 (2008) 1 [hep-ph/0503172] [INSPIRE].ADSCrossRefGoogle Scholar
  45. [45]
    A. Djouadi, The anatomy of electro-weak symmetry breaking. II. The Higgs bosons in the minimal supersymmetric model, Phys. Rept. 459 (2008) 1 [hep-ph/0503173] [INSPIRE].ADSCrossRefGoogle Scholar
  46. [46]
    A. Arhrib, W. Hollik, S. Penaranda and M. Capdequi Peyranere, Higgs decays in the two Higgs doublet model: large quantum effects in the decoupling regime, Phys. Lett. B 579 (2004) 361 [INSPIRE].ADSCrossRefGoogle Scholar

Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  • Gautam Bhattacharyya
    • 1
    Email author
  • Dipankar Das
    • 1
  • Palash B. Pal
    • 1
  • M. N. Rebelo
    • 2
  1. 1.Saha Institute of Nuclear PhysicsKolkataIndia
  2. 2.Centro de Física Teórica de Partículas, Instituto Superior TécnicoUniversidade de LisboaLisboaPortugal

Personalised recommendations