Stability of the normal vacuum in multi-Higgs-doublet models

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 74, Issue 8, 2006, Pages

  Barroso, A ^a   Ferreira, P M ^a   Santos, R ^a   Silva, João P ^b,c  

^a UNIVERSITY OF LISBON   (Portugal)

^b INSTITUTO SUPERIOR DE ENGENHARIA DE LISBOA   (Portugal)

^c INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750009124     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.74.085016     Document Type: Article

References (18)

1. P.M. Ferreira, R. Santos, and A. Barroso, Phys. Lett. B 603, 219 (2004); PYLBAJ 0370-2693 10.1016/j.physletb.2004.10.022
2. P.M. Ferreira R. Santos A. Barroso Phys. Lett. B 629, 114(E) (2005); PYLBAJ 0370-2693
3. A. Barroso, P.M. Ferreira, and R. Santos, Phys. Lett. B 632, 684 (2006); PYLBAJ 0370-2693 10.1016/j.physletb.2005.11.031
4. A. Barroso P.M. Ferreira R. Santos Proc. Sci., HEP2005 2006 337 [hep-ph/0512037].
5. M. Maniatis, A. von Manteuffel, O. Nachtmann, and F. Nagel, hep-ph/0605184;
6. I.P. Ivanov, hep-ph/0609018.
7. F.J. Botella and J.P. Silva, Phys. Rev. D 51, 3870 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.51.3870
8. G.C. Branco, L. Lavoura, and J.P. Silva, CP Violation (Oxford University Press, Oxford, 1999).
9. L. Lavoura and J.P. Silva, Phys. Rev. D 50, 4619 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.50.4619
10. J.F. Gunion, CPNSH, CERN, Switzerland, 2004 (unpublished).
11. G.C. Branco, M.N. Rebelo, and J.I. Silva-Marcos, Phys. Lett. B 614, 187 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.03.075
12. S. Davidson and H.E. Haber, Phys. Rev. D 72, 035004 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.72.035004
13. S. Davidson H.E. Haber Phys. Rev. D 72, 099902(E) (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.099902
14. J.F. Gunion and H.E. Haber, Phys. Rev. D 72, 095002 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.095002
15. By "vacuum" we mean any vev configuration at a stationary point, not necessarily at a minimum. In fact many of these "vacua" may well end up being revealed as saddle points or maxima, as occurs in the 2HDM.
16. Since in Eq. 16 ν1u and ν2d are real, we may change the notation into ν1u=α, ν1d=v1e-iδ, and ν2d=v2. We may then apply an SU(2) gauge transformation combined with a (hypercharge) U(1) transformation: e-iδτ3/2eiδ1/2=(10 0eiδ), where 1 is the 2×2 unit matrix. This transforms Eq. 16 into Eq. 17.
17. The demonstration is trivial, using the stationarity conditions for the normal minimum in Eq. 5, the form of the CB vevs given in Eq. 46, and the definition of (M±2)N in Eq. 31.
18. J.M. Frére, D.R.T. Jones, and S. Raby, Nucl. Phys. NUPBBO 0550-3213 B222, 11 (1983). 10.1016/0550-3213(83)90606-5