Abstract
We analyse the possibility of charge breaking minima developing in the Higgs triplet model, and under what conditions they are deeper than charge-preserving ones. Analytical expressions relating the depth of minima of different types are deduced. A global symmetry of the model leads to increased stability for charge-preserving vacua. However, if that symmetry is broken by a soft term, deeper charge-breaking minima may occur more easily. We identify the vev configurations most likely to produce charge breaking minima.
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References
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].
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].
ATLAS and CMS collaborations, Combined Measurement of the Higgs Boson Mass in pp Collisions at \( \sqrt{s} \) = 7 and 8 TeV with the ATLAS and CMS Experiments, Phys. Rev. Lett. 114 (2015) 191803 [arXiv:1503.07589] [INSPIRE].
ATLAS and CMS collaborations, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at \( \sqrt{s} \) = 7 and 8 TeV, JHEP 08 (2016) 045 [arXiv:1606.02266] [INSPIRE].
T.D. Lee, A Theory of Spontaneous T Violation, Phys. Rev. D 8 (1973) 1226 [INSPIRE].
G.C. Branco, P.M. Ferreira, L. Lavoura, M.N. Rebelo, M. Sher and J.P. Silva, Theory and phenomenology of two-Higgs-doublet models, Phys. Rept. 516 (2012) 1 [arXiv:1106.0034] [INSPIRE].
J. McDonald, Gauge singlet scalars as cold dark matter, Phys. Rev. D 50 (1994) 3637 [hep-ph/0702143] [INSPIRE].
V. Barger, P. Langacker, M. McCaskey, M. Ramsey-Musolf and G. Shaughnessy, Complex Singlet Extension of the Standard Model, Phys. Rev. D 79 (2009) 015018 [arXiv:0811.0393] [INSPIRE].
R.N. Mohapatra and G. Senjanovíc, Neutrino Mass and Spontaneous Parity Nonconservation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
W. Konetschny and W. Kummer, Nonconservation of Total Lepton Number with Scalar Bosons, Phys. Lett. 70B (1977) 433 [INSPIRE].
M. Magg and C. Wetterich, Neutrino Mass Problem and Gauge Hierarchy, Phys. Lett. 94B (1980) 61 [INSPIRE].
T.P. Cheng and L.-F. Li, Neutrino Masses, Mixings and Oscillations in SU(2) × U(1) Models of Electroweak Interactions, Phys. Rev. D 22 (1980) 2860 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Masses in SU(2) × U(1) Theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
G. Lazarides, Q. Shafi and C. Wetterich, Proton Lifetime and Fermion Masses in an SO(10) Model, Nucl. Phys. B 181 (1981) 287 [INSPIRE].
A. Arhrib et al., The Higgs Potential in the Type II Seesaw Model, Phys. Rev. D 84 (2011) 095005 [arXiv:1105.1925] [INSPIRE].
A. Arhrib, R. Benbrik, M. Chabab, G. Moultaka and L. Rahili, Higgs boson decay into 2 photons in the type II Seesaw Model, JHEP 04 (2012) 136 [arXiv:1112.5453] [INSPIRE].
S. Kanemura and H. Sugiyama, Dark matter and a suppression mechanism for neutrino masses in the Higgs triplet model, Phys. Rev. D 86 (2012) 073006 [arXiv:1202.5231] [INSPIRE].
M. Aoki, S. Kanemura, M. Kikuchi and K. Yagyu, Renormalization of the Higgs Sector in the Triplet Model, Phys. Lett. B 714 (2012) 279 [arXiv:1204.1951] [INSPIRE].
M. Aoki, S. Kanemura, M. Kikuchi and K. Yagyu, Radiative corrections to the Higgs boson couplings in the triplet model, Phys. Rev. D 87 (2013) 015012 [arXiv:1211.6029] [INSPIRE].
X.-J. Xu, Minima of the scalar potential in the type-II seesaw model: From local to global, Phys. Rev. D 94 (2016) 115025 [arXiv:1612.04950] [INSPIRE].
P.M. Ferreira and J.P. Silva, Discrete and continuous symmetries in multi-Higgs-doublet models, Phys. Rev. D 78 (2008) 116007 [arXiv:0809.2788] [INSPIRE].
J. Velhinho, R. Santos and A. Barroso, Tree level vacuum stability in two Higgs doublet models, Phys. Lett. B 322 (1994) 213 [INSPIRE].
P.M. Ferreira, R. Santos and A. Barroso, Stability of the tree-level vacuum in two Higgs doublet models against charge or CP spontaneous violation, Phys. Lett. B 603 (2004) 219 [Erratum ibid. B 629 (2005) 114] [hep-ph/0406231] [INSPIRE].
A. Barroso, P.M. Ferreira and R. Santos, Charge and CP symmetry breaking in two Higgs doublet models, Phys. Lett. B 632 (2006) 684 [hep-ph/0507224] [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].
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] [INSPIRE].
I.P. 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. Barroso, P.M. Ferreira and R. Santos, Neutral minima in two-Higgs doublet models, Phys. Lett. B 652 (2007) 181 [hep-ph/0702098] [INSPIRE].
C.C. Nishi, The Structure of potentials with N Higgs doublets, Phys. Rev. D 76 (2007) 055013 [arXiv:0706.2685] [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].
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].
M. Maniatis, A. von Manteuffel and O. Nachtmann, A New type of CP symmetry, family replication and fermion mass hierarchies, Eur. Phys. J. C 57 (2008) 739 [arXiv:0711.3760] [INSPIRE].
C.C. Nishi, Physical parameters and basis transformations in the Two-Higgs-Doublet model, Phys. Rev. D 77 (2008) 055009 [arXiv:0712.4260] [INSPIRE].
M. Maniatis and O. Nachtmann, On the phenomenology of a two-Higgs-doublet model with maximal CP symmetry at the LHC, JHEP 05 (2009) 028 [arXiv:0901.4341] [INSPIRE].
P.M. Ferreira, M. Maniatis, O. Nachtmann and J.P. Silva, CP properties of symmetry-constrained two-Higgs-doublet models, JHEP 08 (2010) 125 [arXiv:1004.3207] [INSPIRE].
I.P. Ivanov and C.C. Nishi, Properties of the general NHDM. I. The Orbit space, Phys. Rev. D 82 (2010) 015014 [arXiv:1004.1799] [INSPIRE].
I.P. Ivanov and C.C. Nishi, Symmetry breaking patterns in 3HDM, JHEP 01 (2015) 021 [arXiv:1410.6139] [INSPIRE].
P.M. Ferreira, The vacuum structure of the Higgs complex singlet-doublet model, Phys. Rev. D 94 (2016) 096011 [arXiv:1607.06101] [INSPIRE].
P.M. Ferreira, M. Mühlleitner, R. Santos, G. Weiglein and J. Wittbrodt, Vacuum Instabilities in the N2HDM, JHEP 09 (2019) 006 [arXiv:1905.10234] [INSPIRE].
J.M. Frere, D.R.T. Jones and S. Raby, Fermion Masses and Induction of the Weak Scale by Supergravity, Nucl. Phys. B 222 (1983) 11 [INSPIRE].
J.A. Casas, A. Lleyda and C. Muñoz, Strong constraints on the parameter space of the MSSM from charge and color breaking minima, Nucl. Phys. B 471 (1996) 3 [hep-ph/9507294] [INSPIRE].
P.M. Ferreira, A Full one loop charge and color breaking effective potential, Phys. Lett. B 509 (2001) 120 [Erratum ibid. B 518 (2001) 333] [hep-ph/0008115] [INSPIRE].
P.M. Ferreira, Minimization of a one loop charge breaking effective potential, Phys. Lett. B 512 (2001) 379 [Erratum ibid. B 518 (2001) 334] [hep-ph/0102141] [INSPIRE].
A. Barroso, P.M. Ferreira, I.P. Ivanov, R. Santos and J.P. Silva, Evading death by vacuum, Eur. Phys. J. C 73 (2013) 2537 [arXiv:1211.6119] [INSPIRE].
A. Barroso, P.M. Ferreira, I.P. Ivanov and R. Santos, Metastability bounds on the two Higgs doublet model, JHEP 06 (2013) 045 [arXiv:1303.5098] [INSPIRE].
W.G. Hollik, G. Weiglein and J. Wittbrodt, Impact of Vacuum Stability Constraints on the Phenomenology of Supersymmetric Models, JHEP 03 (2019) 109 [arXiv:1812.04644] [INSPIRE].
V. Branchina, F. Contino and P.M. Ferreira, Electroweak vacuum lifetime in two Higgs doublet models, JHEP 11 (2018) 107 [arXiv:1807.10802] [INSPIRE].
P.M. Ferreira and B. Swiezewska, One-loop contributions to neutral minima in the inert doublet model, JHEP 04 (2016) 099 [arXiv:1511.02879] [INSPIRE].
P.M. Ferreira, L.A. Morrison and S. Profumo, One-Loop Charge-Breaking Minima in the Two-Higgs Doublet Model, arXiv:1910.08662 [INSPIRE].
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ArXiv ePrint: 1911.09746
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Ferreira, P.M., Gonçalves, B.L. Stability of neutral minima against charge breaking in the Higgs triplet model. J. High Energ. Phys. 2020, 182 (2020). https://doi.org/10.1007/JHEP02(2020)182
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DOI: https://doi.org/10.1007/JHEP02(2020)182