Vacuum topology of the two Higgs doublet model

Journal of High Energy Physics

Volumn 2011, Issue 8, 2011, Pages

  Battye, Richard A ^a   Brawn, Gary D ^a   Pilaftsis, Apostolos ^a,b,c  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b CERN   (Switzerland)

^c INSTITUTO DE FÍSICA CORPUSCULAR IFIC   (Spain)

Author keywords

CP violation; Higgs Physics; Spontaneous Symmetry Breaking

Indexed keywords

EID: 80053139356     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP08(2011)020     Document Type: Article

References (75)

1. S.L. Glashow, Partial Symmetries of Weak Interactions, Nucl. Phys. 22 (1961) 579 [SPIRES].
2. S. Weinberg, A Model of Leptons, Phys. Rev. Lett. 19 (1967) 1264 [SPIRES].
3. A. Salam, Weak and Electromagnetic Interactions, in Proceedings of 8th Nobel Symposium, Lerum Sweden, 19-25 May 1968, pg. 367 [SPIRES].
4. P.W. Higgs, Broken symmetries, massless particles and gauge fields, Phys. Lett. 12 (1964) 132 [SPIRES].
5. F. Englert and R. Brout, Broken symmetry and the mass of gauge vector mesons, Phys. Rev. Lett. 13 (1964) 321 [SPIRES].
6. P.W. Higgs, Broken symmetries and the masses of the gauge bosons, Phys. Rev. Lett. 13 (1964) 508 [SPIRES].
7. G.S. Guralnik, C.R. Hagen and T.W.B. Kibble, Global conservation laws and massless particles, Phys. Rev. Lett. 13 (1964) 585 [SPIRES].
8. P. Langacker, Introduction to the Standard Model and Electroweak Physics, arXiv:0901.0241 [SPIRES].
9. T. Ibrahim and P. Nath, CP violation from standard model to strings, Rev. Mod. Phys. 80 (2008) 577 [arXiv:0705.2008] [SPIRES].
10. Y. Okada, M. Yamaguchi and T. Yanagida, Upper bound of the lightest Higgs boson mass in the minimal supersymmetric standard model, Prog. Theor. Phys. 85 (1991) 1 [SPIRES].
11. J.R. Ellis, G. Ridolfi and F. Zwirner, Radiative corrections to the masses of supersymmetric Higgs bosons, Phys. Lett. B 257 (1991) 83 [SPIRES].
12. H.E. Haber and R. Hempfling, Can the mass of the lightest Higgs boson of the minimal supersymmetric model be larger than m(Z)?, Phys. Rev. Lett. 66 (1991) 1815 [SPIRES].
13. A. Pilaftsis, CP-odd tadpole renormalization of Higgs scalar- pseudoscalar mixing, Phys. Rev. D 58 (1998) 096010 [hep-ph/9803297] [SPIRES].
14. A. Pilaftsis, Higgs scalar-pseudoscalar mixing in the minimal supersymmetric standard model, Phys. Lett. B 435 (1998) 88 [hep-ph/9805373] [SPIRES].
15. D.A. Demir, Effects of the supersymmetric phases on the neutral Higgs sector, Phys. Rev. D 60 (1999) 055006 [hep-ph/9901389] [SPIRES].
16. A. Pilaftsis and C.E.M. Wagner, Higgs bosons in the minimal supersymmetric standard model with explicit CP-violation, Nucl. Phys. B 553 (1999) 3 [hep-ph/9902371] [SPIRES].
17. S.Y. Choi, M. Drees and J.S. Lee, Loop corrections to the neutral Higgs boson sector of the MSSM with explicit CP-violation, Phys. Lett. B 481 (2000) 57 [hep-ph/0002287] [SPIRES].
18. M.S. Carena, J.R. Ellis, A. Pilaftsis and C.E.M. Wagner, Renormalization-group-improved effective potential for the MSSM Higgs sector with explicit CP-violation, Nucl. Phys. B 586 (2000) 92 [hep-ph/0003180] [SPIRES].
19. M. Frank et al., The Higgs boson masses and mixings of the complex MSSM in the Feynman-diagrammatic approach, JHEP 02 (2007) 047 [hep-ph/0611326] [SPIRES].
20. T.D. Lee, A Theory of Spontaneous T Violation, Phys. Rev. D 8 (1973) 1226 [SPIRES].
21. S. Weinberg, Perturbative Calculations of Symmetry Breaking, Phys. Rev. D 7 (1973) 2887 [SPIRES].
22. I.P. Ivanov, Minkowski space structure of the Higgs potential in 2HDM. II: Minima, symmetries and topology, Phys. Rev. D 77 (2008) 015017 [arXiv:0710.3490] [SPIRES].
23. P.M. Ferreira, H.E. Haber and J.P. Silva, Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model, Phys. Rev. D 79 (2009) 116004 [arXiv:0902.1537] [SPIRES].
24. E. Ma and M. Maniatis, Symbiotic Symmetries of the Two-Higgs-Doublet Model, Phys. Lett. B 683 (2010) 33 [arXiv:0909.2855] [SPIRES].
25. P.M. Ferreira, H.E. Haber, M. Maniatis, O. Nachtmann and J.P. Silva, Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model, Int. J. Mod. Phys. A 26 (2011) 769 [arXiv:1010.0935] [SPIRES].
26. C.C. Nishi, CP violation conditions in N-Higgs-doublet potentials, Phys. Rev. D 74 (2006) 036003 [hep-ph/0605153] [SPIRES].
27. I.P. Ivanov, Minkowski space structure of the Higgs potential in 2HDM, Phys. Rev. D 75 (2007) 035001 [hep-ph/0609018] [SPIRES].
28. C.C. Nishi, The structure of potentials with N Higgs doublets, Phys. Rev. D 76 (2007) 055013 [arXiv:0706.2685] [SPIRES].
29. M. Maniatis, A. von Manteuffel, O. Nachtmann and F. Nagel, Stability and symmetry breaking in the general two-Higgs-doublet model, Eur. Phys. J. C 48 (2006) 805 [hep-ph/0605184] [SPIRES].
30. M. Maniatis, A. von Manteuffel and O. Nachtmann, CP Violation in the General Two-Higgs-Doublet Model: a Geometric View, Eur. Phys. J. C 57 (2008) 719 [arXiv:0707.3344] [SPIRES].
31. N.G. Deshpande and E. Ma, Pattern of Symmetry Breaking with Two Higgs Doublets, Phys. Rev. D 18 (1978) 2574 [SPIRES].
32. I.F. Ginzburg and M. Krawczyk, Symmetries of two Higgs doublet model and CP-violation, Phys. Rev. D 72 (2005) 115013 [hep-ph/0408011] [SPIRES].
33. A. Pilaftsis, Resonant CP-violation induced by particle mixing in transition amplitudes, Nucl. Phys. B 504 (1997) 61 [hep-ph/9702393] [SPIRES].
34. S.L. Glashow and S. Weinberg, Natural Conservation Laws for Neutral Currents, Phys. Rev. D 15 (1977) 1958 [SPIRES].
35. R.D. Peccei and H.R. Quinn, CP Conservation in the Presence of Instantons, Phys. Rev. Lett. 38 (1977) 1440 [SPIRES].
36. G.C. Branco, Spontaneous CP Nonconservation and Natural Flavor Conservation: a Minimal Model, Phys. Rev. D 22 (1980) 2901 [SPIRES].
37. S. Davidson and H.E. Haber, Basis-independent methods for the two-Higgs-doublet model, Phys. Rev. D 72 (2005) 035004 [hep-ph/0504050] [SPIRES].
38. G.T. Gilbert, Positive Definite Matrices and Sylvester's Criterion, Am. Math. Mon. 98 (1991) 44.
39. A.W. El Kaffas, W. Khater, O.M. Ogreid and P. Osland, Consistency of the Two Higgs Doublet Model and CP-violation in top production at the LHC, Nucl. Phys. B 775 (2007) 45 [hep-ph/0605142] [SPIRES].
40. B. Grzadkowski, O.M. Ogreid and P. Osland, Natural Multi-Higgs Model with Dark Matter and CP-violation, Phys. Rev. D 80 (2009) 055013 [arXiv:0904.2173] [SPIRES].
41. A. Vilenkin and E.P.S. Shellard, Cosmic Strings and Other Topological Defects, Cambridge University Press, Cambridge U.K. (1994).
42. T. Vachaspati, Kinks and domain walls: an introduction to classical and quantum solitons, Cambridge University Press, Cambridge U.K. (2006).
43. M.B. Hindmarsh and T.W.B. Kibble, Cosmic strings, Rept. Prog. Phys. 58 (1995) 477 [hep-ph/9411342] [SPIRES].
44. B. Garbrecht, C. Pallis and A. Pilaftsis, Anatomy of FD-Term Hybrid Inflation, JHEP 12 (2006) 038 [hep-ph/0605264] [SPIRES].
45. R.A. Battye, B. Garbrecht and A. Pilaftsis, Textures and Semi-Local Strings in SUSY Hybrid Inflation, JCAP 09 (2008) 020 [arXiv:0807.1729] [SPIRES].
46. R. Jeannerot, J. Rocher and M. Sakellariadou, How generic is cosmic string formation in SUSY GUTs, Phys. Rev. D 68 (2003) 103514 [hep-ph/0308134] [SPIRES].
47. T.W.B. Kibble, G. Lazarides and Q. Shafi, Walls Bounded by Strings, Phys. Rev. D 26 (1982) 435 [SPIRES].
48. T.W.B. Kibble, G. Lazarides and Q. Shafi, Strings in SO(10), Phys. Lett. B 113 (1982) 237 [SPIRES].
49. C.C. Nishi, Custodial SO(4) symmetry and CP-violation in N-Higgs- doublet potentials, Phys. Rev. D 83 (2011) 095005 [arXiv:1103.0252] [SPIRES].
50. D.P. Bennett and S.H. Rhie, Cosmological evolution of global monopoles and the origin of large scale structure, Phys. Rev. Lett. 65 (1990) 1709 [SPIRES].
51. H.M. Hodges, Domain walls with bound Bose condensates, Phys. Rev. D 37 (1988) 3052 [SPIRES].
52. G.R. Dvali, Z. Tavartkiladze and J. Nanobashvili, Biased discrete symmetry and domain wall problem, Phys. Lett. B 352 (1995) 214 [hep-ph/9411387] [SPIRES].
53. G.L. Naber, Topology, Geometry, and Gauge Fields: Foundations, Springer Verlag, New York U.S.A. (1997).
54. S. Weinberg, A New Light Boson?, Phys. Rev. Lett. 40 (1978) 223 [SPIRES].
55. F. Wilczek, Problem of Strong p and t Invariance in the Presence of Instantons, Phys. Rev. Lett. 40 (1978) 279 [SPIRES].
56. G.C. Branco, A.J. Buras and J.M. Gerard, CP Violation in Models with Two and Three Scalar Doublets, Nucl. Phys. B 259 (1985) 306 [SPIRES].
57. M. Maniatis and O. Nachtmann, Symmetries and renormalisation in two-Higgs-doublet models, arXiv:1106.1436 [SPIRES].
58. J.F. Gunion and H.E. Haber, Conditions for CP-violation in the general two-Higgs-doublet model, Phys. Rev. D 72 (2005) 095002 [hep-ph/0506227] [SPIRES].
59. C. Jarlskog, Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of Maximal CP-violation, Phys. Rev. Lett. 55 (1985) 1039 [SPIRES].
60. J. Bernabeu, G.C. Branco and M. Gronau, CP Restrictions on Quark Mass Matrices, Phys. Lett. B 169 (1986) 243 [SPIRES].
61. L. Lavoura and J.P. Silva, Fundamental CP-violating quantities in a SU(2) × U(1) model with many Higgs doublets, Phys. Rev. D 50 (1994) 4619 [hep-ph/9404276] [SPIRES].
62. F.J. Botella and J.P. Silva, Jarlskog-like invariants for theories with scalars and fermions, Phys. Rev. D 51 (1995) 3870 [hep-ph/9411288] [SPIRES].
63. G.C. Branco et al., Theory and phenomenology of two-Higgs-doublet models, arXiv:1106.0034 [SPIRES].
64. Y.B. Zeldovich, I.Y. Kobzarev and L.B. Okun, Cosmological Consequences of the Spontaneous Breakdown of Discrete Symmetry, Zh. Eksp. Teor. Fiz. 67 (1974) 3 [SPIRES].
65. S. Weinberg, Gauge and Global Symmetries at High Temperature, Phys. Rev. D 9 (1974) 3357 [SPIRES].
66. R. Holman, T.W. Kephart and D.B. Reiss, A Cosmological Domain Wall Problem in the E8 × E8 Superstring, Phys. Rev. D 38 (1988) 1141 [SPIRES].
67. A. Vilenkin, Gravitational Field of Vacuum Domain Walls and Strings, Phys. Rev. D 23 (1981) 852 [SPIRES].
68. G.B. Gelmini, M. Gleiser and E.W. Kolb, Cosmology of Biased Discrete Symmetry Breaking, Phys. Rev. D 39 (1989) 1558 [SPIRES].
69. S.E. Larsson, S. Sarkar and P.L. White, Evading the cosmological domain wall problem, Phys. Rev. D 55 (1997) 5129 [hep-ph/9608319] [SPIRES].
70. G. Bimonte and G. Lozano, Vortex solutions in two Higgs doublet systems, Phys. Lett. B 326 (1994) 270 [hep-ph/9401313] [SPIRES].
71. A. Vilenkin, Cosmic strings as gravitational lenses, Astrophys. J. 282 (1984) L51 [SPIRES].
72. J.R. Gott, III, Gravitational lensing effects of vacuum strings: Exact solutions, Astrophys. J. 288 (1985) 422 [SPIRES].
73. E. Jeong and G.F. Smoot, Search for cosmic strings in CMB anisotropies, Astrophys. J. 624 (2005) 21 [astro-ph/0406432] [SPIRES].
74. R. Battye and A. Moss, Updated constraints on the cosmic string tension, Phys. Rev. D 82 (2010) 023521 [arXiv:1005.0479] [SPIRES].
75. M. Carmeli, Group theory and general relativity: representations of the Lorentz group and their applications to the gravitational field, McGraw-Hill, New York U.S.A. (1977).