Abstract
We have investigated a Two-Higgs-Doublet Model (2HDM), focusing on CP violation. Various scenarios with spontaneous and explicit breaking of CP have been considered. Some features of CP violation related to a choice of the basis for the two Higgs doublets have been discussed and clarified. Regions in the physical parameter space corresponding to spontaneous and explicit CP violation have been located and discussed. The possibility to determine parameters of the scalar potential with no reference to Yukawa couplings has been considered and an unavoidable ambiguity has been found. The issue of disentangling spontaneous and explicit CP violation has been investigated.
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References
G. Branco et al., Theory and phenomenology of two-Higgs-doublet models, Phys. Rept. 516 (2012) 1 [arXiv:1106.0034] [INSPIRE].
L. Lavoura, Signatures of discrete symmetries in the scalar sector, Phys. Rev. D 50 (1994) 7089 [hep-ph/9405307] [INSPIRE].
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] [INSPIRE].
E. Accomando et al., Workshop on CP Studies and Non-Standard Higgs Physics, hep-ph/0608079 [INSPIRE].
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] [INSPIRE].
I. Ivanov, Minkowski space structure of the Higgs potential in 2HDM, Phys. Rev. D 75 (2007) 035001 [Erratum ibid. D 76 (2007) 039902] [hep-ph/0609018] [INSPIRE].
A. Wahab El Kaffas, P. Osland and O.M. Ogreid, Constraining the Two-Higgs-Doublet-Model parameter space, Phys. Rev. D 76 (2007) 095001 [arXiv:0706.2997] [INSPIRE].
S. Davidson and H.E. Haber, Basis-independent methods for the two-Higgs-doublet model, Phys. Rev. D 72 (2005) 035004 [Erratum ibid. D 72 (2005) 099902] [hep-ph/0504050] [INSPIRE].
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] [INSPIRE].
I. Ivanov, Two-Higgs-doublet model from the group-theoretic perspective, Phys. Lett. B 632 (2006) 360 [hep-ph/0507132] [INSPIRE].
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] [INSPIRE].
C.C. Nishi, CP violation conditions in N-Higgs-doublet potentials, Phys. Rev. D 74 (2006) 036003 [Erratum ibid. D 76 (2007) 119901] [hep-ph/0605153] [INSPIRE].
S.L. Glashow and S. Weinberg, Natural Conservation Laws for Neutral Currents, Phys. Rev. D 15 (1977) 1958 [INSPIRE].
B. Grzadkowski, O. Ogreid and P. Osland, Natural Multi-Higgs Model with Dark Matter and CP-violation, Phys. Rev. D 80 (2009) 055013 [arXiv:0904.2173] [INSPIRE].
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] [INSPIRE].
F. Botella and J.P. Silva, Jarlskog-like invariants for theories with scalars and fermions, Phys. Rev. D 51 (1995) 3870 [hep-ph/9411288] [INSPIRE].
W. Khater and P. Osland, CP violation in top quark production at the LHC and two Higgs doublet models, Nucl. Phys. B 661 (2003) 209 [hep-ph/0302004] [INSPIRE].
A.W. El Kaffas, P. Osland and O.M. Ogreid, CP violation, stability and unitarity of the two Higgs doublet model, Nonlin. Phenom. Complex Syst. 10 (2007) 347 [hep-ph/0702097] [INSPIRE].
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].
L. Basso et al., Probing the charged Higgs boson at the LHC in the CP-violating type-II 2HDM, JHEP 11 (2012) 011 [arXiv:1205.6569] [INSPIRE].
L. Basso et al., The CP-violating type-II 2HDM and Charged Higgs boson benchmarks, PoS(Corfu2012)029 [arXiv:1305.3219] [INSPIRE].
B. Grzadkowski and J. Pliszka, Testing scalar sector CP-violation in top quark production and decay at linear e + e − colliders, Phys. Rev. D 63 (2001) 115010 [hep-ph/0012110] [INSPIRE].
B. Grzadkowski, J.F. Gunion and J. Pliszka, How valuable is polarization at a muon collider? A Test case: Determining the CP nature of a Higgs boson, Nucl. Phys. B 583 (2000) 49 [hep-ph/0003091] [INSPIRE].
B. Grzadkowski, J.F. Gunion and J. Kalinowski, Finding the CP-violating Higgs bosons at e + e − colliders, Phys. Rev. D 60 (1999) 075011 [hep-ph/9902308] [INSPIRE].
B. Grzadkowski and Z. Hioki, CP violating lepton energy correlation in e − e + → \( t\overline{t} \), Phys. Lett. B 391 (1997) 172 [hep-ph/9608306] [INSPIRE].
J.F. Gunion, B. Grzadkowski and X.-G. He, Determining the top — anti-top and ZZ couplings of a neutral Higgs boson of arbitrary CP nature at the NLC, Phys. Rev. Lett. 77 (1996) 5172 [hep-ph/9605326] [INSPIRE].
B. Grzadkowski, CP violation in H → \( t\overline{t} \) decays at e + e − colliders, Phys. Lett. B 338 (1994) 71 [hep-ph/9404330] [INSPIRE].
D. Chang and W.-Y. Keung, CP violation in the decay of neutral Higgs boson into \( t-\overline{t} \) and W +−W −, Phys. Lett. B 305 (1993) 261 [hep-ph/9301265] [INSPIRE].
G.-H. Wu and A. Soni, Novel CP-violating effects in B decays from charged Higgs in a two Higgs doublet model for the top quark, Phys. Rev. D 62 (2000) 056005 [hep-ph/9911419] [INSPIRE].
S. Bar-Shalom, D. Atwood and A. Soni, Two Higgs doublets models and CP-violating Higgs exchange in e + e − → \( t\overline{t}Z \), Phys. Lett. B 419 (1998) 340 [hep-ph/9707284] [INSPIRE].
S. Bar-Shalom, D. Atwood, G. Eilam, R. Mendel and A. Soni, Large tree level CP-violation in e + e − → \( t\overline{t}{H^0} \) in the two Higgs doublet model, Phys. Rev. D 53 (1996) 1162 [hep-ph/9508314] [INSPIRE].
D. Atwood and A. Soni, Neutral Higgs CP-violation at μ + μ − colliders, Phys. Rev. D 52 (1995) 6271 [hep-ph/9505233] [INSPIRE].
A. Soni and R. Xu, Probing CP-violation via Higgs decays to four leptons, Phys. Rev. D 48 (1993) 5259 [hep-ph/9301225] [INSPIRE].
A. Skjold and P. Osland, Signals of CP-violation in Higgs decay, Phys. Lett. B 329 (1994) 305 [hep-ph/9402358] [INSPIRE].
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Grzadkowski, B., Ogreid, O.M. & Osland, P. Diagnosing CP properties of the 2HDM. J. High Energ. Phys. 2014, 105 (2014). https://doi.org/10.1007/JHEP01(2014)105
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DOI: https://doi.org/10.1007/JHEP01(2014)105