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CP violation in a model with Higgs triplets

  • Regular Article - Theoretical Physics
  • Open access
  • Published: 13 June 2023
  • Volume 2023, article number 69, (2023)
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Journal of High Energy Physics Aims and scope Submit manuscript
CP violation in a model with Higgs triplets
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  • Ting-Kuo Chen1,2,
  • Cheng-Wei Chiang  ORCID: orcid.org/0000-0003-1716-01691,3 &
  • Kei Yagyu4 

  • 279 Accesses

  • 6 Citations

  • 1 Altmetric

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An Erratum to this article was published on 21 July 2023

This article has been updated

A preprint version of the article is available at arXiv.

Abstract

We discuss CP-violation in a model with a real and a complex isospin triplet Higgs fields without introducing any symmetries except for the electroweak gauge symmetry. This corresponds to the minimal extension of the Higgs sector with the following properties: (i) providing new source of CP violation, (ii) absence of quark flavor changing neutral currents at tree level, and (iii) enabling the electroweak rho parameter to be unity at tree level in the scenario without imposing any new symmetries. Our model can be regarded as the generalized version of the Georgi-Machacek model, in which the global SU(2)L × SU(2)R symmetry is explicitly broken due to CP-violating terms in the potential. We present analytic formulas for theoretical constraints from perturbative unitarity and vacuum stability as well as contributions to the electron electric dipole moment (EDM) and the neutron EDM from all the Barr-Zee type diagrams. We then examine the parameter space allowed by the constraints mentioned above and also those from the uniqueness of the vacuum, measurements at Tevatron and LHC by using HEPfit to perform a global parameter fit. We find that the decays of the two lightest extra neutral (singly-charged) scalars, H1 and \( {H}_2\left({H}_1^{\pm}\right) \), into hZ (WZ) can be significant at the same time under the constraints, which can serve as direct evidence of CP violation in our model, but not from models with multi-doublet extensions.

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  • 21 July 2023

    An Erratum to this paper has been published: https://doi.org/10.1007/JHEP07(2023)169

References

  1. K. Kajantie, M. Laine, K. Rummukainen and M.E. Shaposhnikov, Is there a hot electroweak phase transition at mH ≳ mW ?, Phys. Rev. Lett. 77 (1996) 2887 [hep-ph/9605288] [INSPIRE].

  2. M. Gurtler, E.-M. Ilgenfritz and A. Schiller, Where the electroweak phase transition ends, Phys. Rev. D 56 (1997) 3888 [hep-lat/9704013] [INSPIRE].

  3. F. Csikor, Z. Fodor and J. Heitger, Endpoint of the hot electroweak phase transition, Phys. Rev. Lett. 82 (1999) 21 [hep-ph/9809291] [INSPIRE].

  4. L. Dolan and R. Jackiw, Symmetry behavior at finite temperature, Phys. Rev. D 9 (1974) 3320 [INSPIRE].

  5. V.A. Kuzmin, V.A. Rubakov and M.E. Shaposhnikov, On the Anomalous Electroweak Baryon Number Nonconservation in the Early Universe, Phys. Lett. B 155 (1985) 36 [INSPIRE].

  6. N. Turok and J. Zadrozny, Dynamical generation of baryons at the electroweak transition, Phys. Rev. Lett. 65 (1990) 2331.

  7. J.M. Cline, K. Kainulainen and A.P. Vischer, Dynamics of two Higgs doublet CP violation and baryogenesis at the electroweak phase transition, Phys. Rev. D 54 (1996) 2451 [hep-ph/9506284] [INSPIRE].

  8. L. Fromme, S.J. Huber and M. Seniuch, Baryogenesis in the two-Higgs doublet model, JHEP 11 (2006) 038 [hep-ph/0605242] [INSPIRE].

  9. J.M. Cline, K. Kainulainen and M. Trott, Electroweak Baryogenesis in Two Higgs Doublet Models and B meson anomalies, JHEP 11 (2011) 089 [arXiv:1107.3559] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  10. J. Shu and Y. Zhang, Impact of a CP Violating Higgs Sector: From LHC to Baryogenesis, Phys. Rev. Lett. 111 (2013) 091801 [arXiv:1304.0773] [INSPIRE].

    Article  ADS  Google Scholar 

  11. K. Fuyuto, W.-S. Hou and E. Senaha, Electroweak baryogenesis driven by extra top Yukawa couplings, Phys. Lett. B 776 (2018) 402 [arXiv:1705.05034] [INSPIRE].

    Article  ADS  Google Scholar 

  12. T. Modak and E. Senaha, Electroweak baryogenesis via bottom transport, Phys. Rev. D 99 (2019) 115022 [arXiv:1811.08088] [INSPIRE].

    Article  ADS  Google Scholar 

  13. K. Enomoto, S. Kanemura and Y. Mura, Electroweak baryogenesis in aligned two Higgs doublet models, JHEP 01 (2022) 104 [arXiv:2111.13079] [INSPIRE].

    Article  ADS  Google Scholar 

  14. K. Enomoto, S. Kanemura and Y. Mura, New benchmark scenarios of electroweak baryogenesis in aligned two Higgs double models, JHEP 09 (2022) 121 [arXiv:2207.00060] [INSPIRE].

    Article  ADS  Google Scholar 

  15. Heavy Flavor Averaging Group and HFLAV collaborations, Averages of b-hadron, c-hadron, and τ -lepton properties as of 2021, Phys. Rev. D 107 (2023) 052008 [arXiv:2206.07501] [INSPIRE].

  16. H. Georgi and M. Machacek, Doubly charged Higgs bosons, Nucl. Phys. B 262 (1985) 463 [INSPIRE].

  17. M.S. Chanowitz and M. Golden, Higgs Boson Triplets With M (W ) = M (Z) cos θω, Phys. Lett. B 165 (1985) 105 [INSPIRE].

  18. C.-W. Chiang and T. Yamada, Electroweak phase transition in Georgi-Machacek model, Phys. Lett. B 735 (2014) 295 [arXiv:1404.5182] [INSPIRE].

    Article  ADS  Google Scholar 

  19. R. Zhou, W. Cheng, X. Deng, L. Bian and Y. Wu, Electroweak phase transition and Higgs phenomenology in the Georgi-Machacek model, JHEP 01 (2019) 216 [arXiv:1812.06217] [INSPIRE].

    Article  ADS  Google Scholar 

  20. T.-K. Chen, C.-W. Chiang, C.-T. Huang and B.-Q. Lu, Updated constraints on the Georgi-Machacek model and its electroweak phase transition and associated gravitational waves, Phys. Rev. D 106 (2022) 055019 [arXiv:2205.02064] [INSPIRE].

    Article  ADS  Google Scholar 

  21. J.F. Gunion, R. Vega and J. Wudka, Naturalness problems for ρ = 1 and other large one-loop effects for a standard-model Higgs sector containing triplet fields, Phys. Rev. D 43 (1991) 2322 [INSPIRE].

  22. S. Blasi, S. De Curtis and K. Yagyu, Effects of custodial symmetry breaking in the Georgi-Machacek model at high energies, Phys. Rev. D 96 (2017) 015001 [arXiv:1704.08512] [INSPIRE].

    Article  ADS  Google Scholar 

  23. C.-W. Chiang, A.-L. Kuo and K. Yagyu, Radiative corrections to Higgs couplings with weak gauge bosons in custodial multi-Higgs models, Phys. Lett. B 774 (2017) 119 [arXiv:1707.04176] [INSPIRE].

    Article  ADS  Google Scholar 

  24. C.-W. Chiang, A.-L. Kuo and K. Yagyu, One-loop renormalized Higgs boson vertices in the Georgi-Machacek model, Phys. Rev. D 98 (2018) 013008 [arXiv:1804.02633] [INSPIRE].

    Article  ADS  Google Scholar 

  25. B. Keeshan, H.E. Logan and T. Pilkington, Custodial symmetry violation in the Georgi-Machacek model, Phys. Rev. D 102 (2020) 015001 [arXiv:1807.11511] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  26. J.A. Grifols and A. Mendez, The WZH± Coupling in SU(2) × U(1) Gauge Models, Phys. Rev. D 22 (1980) 1725 [INSPIRE].

  27. S. Kanemura, K. Yagyu and K. Yanase, Testing Higgs models via the H±W∓Z vertex by a recoil method at the International Linear Collider, Phys. Rev. D 83 (2011) 075018 [arXiv:1103.0493] [INSPIRE].

    Article  ADS  Google Scholar 

  28. P. Bandyopadhyay, K. Huitu and A. Sabanci Keceli, Multi-Lepton Signatures of the Triplet Like Charged Higgs at the LHC, JHEP 05 (2015) 026 [arXiv:1412.7359] [INSPIRE].

    Article  ADS  Google Scholar 

  29. P. Bandyopadhyay, C. Corianò and A. Costantini, General analysis of the charged Higgs sector of the Y = 0 triplet-singlet extension of the MSSM at the LHC, Phys. Rev. D 94 (2016) 055030 [arXiv:1512.08651] [INSPIRE].

    Article  ADS  Google Scholar 

  30. M. Zaro and H. Logan, Recommendations for the interpretation of LHC searches for \( {H}_5^0 \), \( {H}_5^{\pm } \), and \( {H}_5^{\pm \pm } \) in vector boson fusion with decays to vector boson pairs, LHCHXSWG-2015-001 (2015).

  31. C.-W. Chiang, S. Kanemura and K. Yagyu, Phenomenology of the Georgi-Machacek model at future electron-positron colliders, Phys. Rev. D 93 (2016) 055002 [arXiv:1510.06297] [INSPIRE].

    Article  ADS  Google Scholar 

  32. Particle Data Group collaboration, Review of Particle Physics, PTEP 2022 (2022) 083C01 [INSPIRE].

  33. CDF collaboration, High-precision measurement of the W boson mass with the CDF II detector, Science 376 (2022) 170 [INSPIRE].

  34. T.-K. Chen, C.-W. Chiang and K. Yagyu, Explanation of the W mass shift at CDF II in the extended Georgi-Machacek model, Phys. Rev. D 106 (2022) 055035 [arXiv:2204.12898] [INSPIRE].

    Article  ADS  Google Scholar 

  35. T.-K. Chen, C.-W. Chiang and I. Low, Simple model of dark matter and CP violation, Phys. Rev. D 105 (2022) 075025 [arXiv:2202.02954] [INSPIRE].

    Article  ADS  Google Scholar 

  36. 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.

  37. J. Schechter and J.W.F. Valle, Neutrino Masses in SU(2) × U(1) Theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].

  38. M. Magg and C. Wetterich, Neutrino Mass Problem and Gauge Hierarchy, Phys. Lett. B 94 (1980) 61 [INSPIRE].

  39. R.N. Mohapatra and G. Senjanovic, Neutrino masses and mixings in gauge models with spontaneous parity violation, Phys. Rev. D 23 (1981) 165 [INSPIRE].

  40. K. Hartling, K. Kumar and H.E. Logan, The decoupling limit in the Georgi-Machacek model, Phys. Rev. D 90 (2014) 015007 [arXiv:1404.2640] [INSPIRE].

    Article  ADS  Google Scholar 

  41. M. Aoki and S. Kanemura, Unitarity bounds in the Higgs model including triplet fields with custodial symmetry, Phys. Rev. D 77 (2008) 095009 [arXiv:0712.4053] [Erratum ibid. 89 (2014) 059902] [INSPIRE].

  42. J.M. Cornwall, D.N. Levin and G. Tiktopoulos, Derivation of gauge invariance from high-energy unitarity bounds on the S matrix, Phys. Rev. D 10 (1974) 1145 [Erratum ibid. 11 (1975) 972].

  43. T.S. Roussy et al., A new bound on the electron’s electric dipole moment, arXiv:2212.11841 [INSPIRE].

  44. T. Abe, J. Hisano, T. Kitahara and K. Tobioka, Gauge invariant Barr-Zee type contributions to fermionic EDMs in the two-Higgs doublet models, JHEP 01 (2014) 106 [arXiv:1311.4704] [Erratum ibid. 04 (2016) 161] [INSPIRE].

  45. W. Altmannshofer, S. Gori, N. Hamer and H.H. Patel, Electron EDM in the complex two-Higgs doublet model, Phys. Rev. D 102 (2020) 115042 [arXiv:2009.01258] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  46. C. Abel et al., Measurement of the Permanent Electric Dipole Moment of the Neutron, Phys. Rev. Lett. 124 (2020) 081803 [arXiv:2001.11966] [INSPIRE].

    Article  ADS  Google Scholar 

  47. J. Haller, A. Hoecker, R. Kogler, K. Mönig, T. Peiffer and J. Stelzer, Update of the global electroweak fit and constraints on two-Higgs-doublet models, Eur. Phys. J. C 78 (2018) 675 [arXiv:1803.01853] [INSPIRE].

    Article  ADS  Google Scholar 

  48. C.-W. Chiang, G. Cottin and O. Eberhardt, Global fits in the Georgi-Machacek model, Phys. Rev. D 99 (2019) 015001 [arXiv:1807.10660] [INSPIRE].

    Article  ADS  Google Scholar 

  49. J. De Blas et al., HEPfit: a code for the combination of indirect and direct constraints on high energy physics models, Eur. Phys. J. C 80 (2020) 456 [arXiv:1910.14012] [INSPIRE].

    Article  ADS  Google Scholar 

  50. S. Kanemura, M. Kubota and K. Yagyu, Aligned CP-violating Higgs sector canceling the electric dipole moment, JHEP 08 (2020) 026 [arXiv:2004.03943] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  51. K. Fuyuto, W.-S. Hou and E. Senaha, Cancellation mechanism for the electron electric dipole moment connected with the baryon asymmetry of the Universe, Phys. Rev. D 101 (2020) 011901 [arXiv:1910.12404] [INSPIRE].

    Article  ADS  Google Scholar 

  52. ACME collaboration, Improved limit on the electric dipole moment of the electron, Nature 562 (2018) 355 [INSPIRE].

  53. A. Arhrib et al., The Higgs Potential in the Type II Seesaw Model, Phys. Rev. D 84 (2011) 095005 [arXiv:1105.1925] [INSPIRE].

    Article  ADS  Google Scholar 

  54. ATLAS collaboration, Observation and measurement of Higgs boson decays to WW∗ with the ATLAS detector, Phys. Rev. D 92 (2015) 012006 [arXiv:1412.2641] [INSPIRE].

  55. CMS collaboration, Measurement of Higgs Boson Production and Properties in the WW Decay Channel with Leptonic Final States, JHEP 01 (2014) 096 [arXiv:1312.1129] [INSPIRE].

  56. ATLAS collaboration, Evidence for the Higgs-boson Yukawa coupling to tau leptons with the ATLAS detector, JHEP 04 (2015) 117 [arXiv:1501.04943] [INSPIRE].

  57. CMS collaboration, Evidence for the 125 GeV Higgs boson decaying to a pair of τ leptons, JHEP 05 (2014) 104 [arXiv:1401.5041] [INSPIRE].

  58. ATLAS collaboration, Measurements of Higgs boson production and couplings in the four-lepton channel in pp collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector, Phys. Rev. D 91 (2015) 012006 [arXiv:1408.5191] [INSPIRE].

  59. CMS collaboration, Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV, Eur. Phys. J. C 75 (2015) 212 [arXiv:1412.8662] [INSPIRE].

  60. ATLAS collaboration, Measurement of Higgs boson production in the diphoton decay channel in pp collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector, Phys. Rev. D 90 (2014) 112015 [arXiv:1408.7084] [INSPIRE].

  61. CMS collaboration, Observation of the Diphoton Decay of the Higgs Boson and Measurement of Its Properties, Eur. Phys. J. C 74 (2014) 3076 [arXiv:1407.0558] [INSPIRE].

  62. ATLAS collaboration, Measurements of the Higgs boson production and decay rates and coupling strengths using pp collision data at \( \sqrt{s} \) = 7 and 8 TeV in the ATLAS experiment, Eur. Phys. J. C 76 (2016) 6 [arXiv:1507.04548] [INSPIRE].

  63. CMS collaboration, Search for a Higgs Boson Decaying into a Z and a Photon in pp Collisions at \( \sqrt{s} \) = 7 and 8 TeV, Phys. Lett. B 726 (2013) 587 [arXiv:1307.5515] [INSPIRE].

  64. CMS collaboration, Search for the Higgs boson decaying to two muons in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett. 122 (2019) 021801 [arXiv:1807.06325] [INSPIRE].

  65. ATLAS collaboration, Measurements of WH and ZH production in the \( H\to b\overline{b} \) decay channel in pp collisions at 13 TeV with the ATLAS detector, Eur. Phys. J. C 81 (2021) 178 [arXiv:2007.02873] [INSPIRE].

  66. CMS collaboration, Measurements of properties of the Higgs boson decaying to a W boson pair in pp collisions at \( \sqrt{s} \) = 13 TeV, Phys. Lett. B 791 (2019) 96 [arXiv:1806.05246] [INSPIRE].

  67. ATLAS collaboration, A combination of measurements of Higgs boson production and decay using up to 139 fb−1 of proton–proton collision data at \( \sqrt{s} \) = 13 TeV collected with the ATLAS experiment, ATLAS-CONF-2020-027 (2020) [INSPIRE].

  68. CMS collaboration, Observation of the Higgs boson decay to a pair of τ leptons with the CMS detector, Phys. Lett. B 779 (2018) 283 [arXiv:1708.00373] [INSPIRE].

  69. CMS collaboration, Measurements of properties of the Higgs boson decaying into the four-lepton final state in pp collisions at \( \sqrt{s} \) = 13 TeV, JHEP 11 (2017) 047 [arXiv:1706.09936] [INSPIRE].

  70. CMS collaboration, Measurements of properties of the Higgs boson in the four-lepton final state at \( \sqrt{s} \) = 13 TeV, CMS-PAS-HIG-18-001 (2018) [INSPIRE].

  71. CMS collaboration, Measurements of Higgs boson properties in the diphoton decay channel in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 11 (2018) 185 [arXiv:1804.02716] [INSPIRE].

  72. ATLAS collaboration, Searches for the Zγ decay mode of the Higgs boson and for new high-mass resonances in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 10 (2017) 112 [arXiv:1708.00212] [INSPIRE].

  73. CMS collaboration, Search for the decay of a Higgs boson in the ℓℓγ channel in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 11 (2018) 152 [arXiv:1806.05996] [INSPIRE].

  74. ATLAS collaboration, A search for the Zγ decay mode of the Higgs boson in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Lett. B 809 (2020) 135754 [arXiv:2005.05382] [INSPIRE].

  75. CMS collaboration, Search for the Higgs boson decay to Zγ in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, CMS-PAS-HIG-19-014 (2021) [INSPIRE].

  76. ATLAS collaboration, A search for the rare decay of the Standard Model Higgs boson to dimuons in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS Detector, ATLAS-CONF-2018-026 (2018) [INSPIRE].

  77. CMS collaboration, VBF H to bb using the 2015 data sample, CMS-PAS-HIG-16-003 (2016) [INSPIRE].

  78. ATLAS collaboration, Observation of vector-boson-fusion production of Higgs bosons in the H → WW∗ → eνμν decay channel in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, ATLAS-CONF-2020-045 (2020) [INSPIRE].

  79. ATLAS collaboration, Search for the \( b\overline{b} \) decay of the Standard Model Higgs boson in associated (W/Z)H production with the ATLAS detector, JHEP 01 (2015) 069 [arXiv:1409.6212] [INSPIRE].

  80. CMS collaboration, Search for the Standard Model Higgs Boson Produced in Association with a W or a Z Boson and Decaying to Bottom Quarks, Phys. Rev. D 89 (2014) 012003 [arXiv:1310.3687] [INSPIRE].

  81. ATLAS collaboration, Study of (W/Z)H production and Higgs boson couplings using H → WW∗ decays with the ATLAS detector, JHEP 08 (2015) 137 [arXiv:1506.06641] [INSPIRE].

  82. CMS collaboration, Evidence for the Higgs boson decay to a bottom quark-antiquark pair, Phys. Lett. B 780 (2018) 501 [arXiv:1709.07497] [INSPIRE].

  83. ATLAS collaboration, Measurement of gluon fusion and vector boson fusion Higgs boson production cross-sections in the H → WW∗ → eνμν decay channel in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, ATLAS-CONF-2018-004 (2018) [INSPIRE].

  84. CMS collaboration, Search for the associated production of the Higgs boson and a vector boson in proton-proton collisions at \( \sqrt{s} \) = 13 TeV via Higgs boson decays to τ leptons, JHEP 06 (2019) 093 [arXiv:1809.03590] [INSPIRE].

  85. ATLAS collaboration, Search for the Standard Model Higgs boson produced in association with top quarks and decaying into \( b\overline{b} \) in pp collisions at \( \sqrt{s} \) = 8 TeV with the ATLAS detector, Eur. Phys. J. C 75 (2015) 349 [arXiv:1503.05066] [INSPIRE].

  86. CMS collaboration, Search for the associated production of the Higgs boson with a top-quark pair, JHEP 09 (2014) 087 [arXiv:1408.1682] [Erratum ibid. 10 (2014) 106] [INSPIRE].

  87. CMS collaboration, Search for ttH production in the all-jet final state in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 06 (2018) 101 [arXiv:1803.06986] [INSPIRE].

  88. CMS collaboration, Observation of ttH production, Phys. Rev. Lett. 120 (2018) 231801 [arXiv:1804.02610] [INSPIRE].

  89. ATLAS collaboration, Evidence for the associated production of the Higgs boson and a top quark pair with the ATLAS detector, Phys. Rev. D 97 (2018) 072003 [arXiv:1712.08891] [INSPIRE].

  90. CMS collaboration, Evidence for associated production of a Higgs boson with a top quark pair in final states with electrons, muons, and hadronically decaying τ leptons at \( \sqrt{s} \) = 13 TeV, JHEP 08 (2018) 066 [arXiv:1803.05485] [INSPIRE].

  91. CDF collaboration, Combination fo Searches for the Higgs Boson Using the Full CDF Data Set, Phys. Rev. D 88 (2013) 052013 [arXiv:1301.6668] [INSPIRE].

  92. D0 collaboration, Combined search for the Higgs boson with the D0 experiment, Phys. Rev. D 88 (2013) 052011 [arXiv:1303.0823] [INSPIRE].

  93. ATLAS collaboration, Search for new phenomena in events with same-charge leptons and b-jets in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 12 (2018) 039 [arXiv:1807.11883] [INSPIRE].

  94. ATLAS collaboration, Search for new phenomena in \( t\overline{t} \) final states with additional heavy-flavour jets in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, ATLAS-CONF-2016-104 (2016) [INSPIRE].

  95. CMS collaboration, Search for neutral MSSM Higgs bosons decaying into a pair of bottom quarks, JHEP 11 (2015) 071 [arXiv:1506.08329] [INSPIRE].

  96. CMS collaboration, Search for narrow resonances in the b-tagged dijet mass spectrum in proton-proton collisions at \( \sqrt{s} \) = 8 TeV, Phys. Rev. Lett. 120 (2018) 201801 [arXiv:1802.06149] [INSPIRE].

  97. CMS collaboration, Search for a narrow heavy decaying to bottom quark pairs in the 13 TeV data sample, CMS-PAS-HIG-16-025 (2016) [INSPIRE].

  98. ATLAS collaboration, Search for heavy neutral Higgs bosons produced in association with b-quarks and decaying into b-quarks at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Rev. D 102 (2020) 032004 [arXiv:1907.02749] [INSPIRE].

  99. CMS collaboration, Search for beyond the standard model Higgs bosons decaying into a bb pair in pp collisions at \( \sqrt{s} \) = 13 TeV, JHEP 08 (2018) 113 [arXiv:1805.12191] [INSPIRE].

  100. ATLAS collaboration, Search for neutral Higgs bosons of the minimal supersymmetric standard model in pp collisions at \( \sqrt{s} \) = 8 TeV with the ATLAS detector, JHEP 11 (2014) 056 [arXiv:1409.6064] [INSPIRE].

  101. CMS collaboration, Search for additional neutral Higgs bosons decaying to a pair of τ leptons in pp collisions at \( \sqrt{s} \) = 7 and 8 TeV, CMS-PAS-HIG-14-029 (2015).

  102. ATLAS collaboration, Search for additional heavy neutral Higgs and gauge bosons in the ditau final state produced in 36 fb−1 of pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 01 (2018) 055 [arXiv:1709.07242] [INSPIRE].

  103. ATLAS collaboration, Search for heavy Higgs bosons decaying into two tau leptons with the ATLAS detector using pp collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett. 125 (2020) 051801 [arXiv:2002.12223] [INSPIRE].

  104. CMS collaboration, Search for additional neutral MSSM Higgs bosons in the ττ final state in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 09 (2018) 007 [arXiv:1803.06553] [INSPIRE].

  105. CMS collaboration, Search for a low-mass τ +τ− resonance in association with a bottom quark in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 05 (2019) 210 [arXiv:1903.10228] [INSPIRE].

  106. ATLAS collaboration, Search for scalar resonances decaying into μ+μ− in events with and without b-tagged jets produced in proton-proton collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 07 (2019) 117 [arXiv:1901.08144] [INSPIRE].

  107. CMS collaboration, Search for MSSM Higgs bosons decaying to μ+μ− in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Lett. B 798 (2019) 134992 [arXiv:1907.03152] [INSPIRE].

  108. ATLAS collaboration, Search for Scalar Diphoton Resonances in the Mass Range 65 600 GeV with the ATLAS Detector in pp Collision Data at \( \sqrt{s} \) = 8 T eV , Phys. Rev. Lett. 113 (2014) 171801 [arXiv:1407.6583] [INSPIRE].

  109. ATLAS collaboration, Search for new phenomena in high-mass diphoton final states using 37 fb−1 of proton-proton collisions collected at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Lett. B 775 (2017) 105 [arXiv:1707.04147] [INSPIRE].

  110. CMS collaboration, Search for high-mass diphoton resonances in proton-proton collisions at 13 TeV and combination with 8 TeV search, Phys. Lett. B 767 (2017) 147 [arXiv:1609.02507] [INSPIRE].

  111. ATLAS collaboration, Search for new resonances in Wγ and Zγ final states in pp collisions at \( \sqrt{s} \) = 8 TeV with the ATLAS detector, Phys. Lett. B 738 (2014) 428 [arXiv:1407.8150] [INSPIRE].

  112. CMS collaboration, Search for scalar resonances in the 200–1200 GeV mass range decaying into a Z and a photon in pp collisions at \( \sqrt{s} \) = 8 TeV, CMS-PAS-HIG-16-014 (2016) [INSPIRE].

  113. ATLAS collaboration, Searches for the Zγ decay mode of the Higgs boson and for new high-mass resonances in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 10 (2017) 112 [arXiv:1708.00212] [INSPIRE].

  114. ATLAS collaboration, Search for heavy resonances decaying to a photon and a hadronically decaying Z/W/H boson in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Rev. D 98 (2018) 032015 [arXiv:1805.01908] [INSPIRE].

  115. CMS collaboration, Search for Zγ resonances using leptonic and hadronic final states in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 09 (2018) 148 [arXiv:1712.03143] [INSPIRE].

  116. ATLAS collaboration, Search for an additional, heavy Higgs boson in the H → ZZ decay channel at \( \sqrt{s} \) = 8 TeV in pp collision data with the ATLAS detector, Eur. Phys. J. C 76 (2016) 45 [arXiv:1507.05930] [INSPIRE].

  117. ATLAS collaboration, Search for heavy ZZ resonances in the ℓ+ℓ−ℓ+ℓ− and \( {\ell}^{+}{\ell}^{-}\nu \overline{\nu} \) final states using proton-proton collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Eur. Phys. J. C 78 (2018) 293 [arXiv:1712.06386] [INSPIRE].

  118. ATLAS collaboration, Search for heavy resonances decaying into a pair of Z bosons in the ℓ+ℓ−ℓ′+ℓ′− and \( {\ell}^{+}{\ell}^{-}\nu \overline{\nu} \) final states using 139 fb−1 of proton-proton collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Eur. Phys. J. C 81 (2021) 332 [arXiv:2009.14791] [INSPIRE].

  119. ATLAS collaboration, Searches for heavy ZZ and ZW resonances in the ℓℓqq and ννqq final states in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 03 (2018) 009 [arXiv:1708.09638] [INSPIRE].

  120. CMS collaboration, Search for a new scalar resonance decaying to a pair of Z bosons in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 06 (2018) 127 [arXiv:1804.01939] [Erratum ibid. 03 (2019) 128] [INSPIRE].

  121. CMS collaboration, Search for a heavy resonance decaying into a Z boson and a vector boson in the \( \nu \overline{\nu}q\overline{q} \) final state, JHEP 07 (2018) 075 [arXiv:1803.03838] [INSPIRE].

  122. ATLAS collaboration, Search for a high-mass Higgs boson decaying to a W boson pair in pp collisions at \( \sqrt{s} \) = 8 TeV with the ATLAS detector, JHEP 01 (2016) 032 [arXiv:1509.00389] [INSPIRE].

  123. ATLAS collaboration, Search for heavy resonances decaying into WW in the eνμν final state in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Eur. Phys. J. C 78 (2018) 24 [arXiv:1710.01123] [INSPIRE].

  124. CMS collaboration, Search for high mass Higgs to WW with fully leptonic decays using 2015 data, CMS-PAS-HIG-16-023 (2016) [INSPIRE].

  125. ATLAS collaboration, Search for WW/WZ resonance production in ℓνqq final states in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 03 (2018) 042 [arXiv:1710.07235] [INSPIRE].

  126. CMS collaboration, Search for a heavy Higgs boson decaying to a pair of W bosons in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 03 (2020) 034 [arXiv:1912.01594] [INSPIRE].

  127. CMS collaboration, Search for a Higgs boson in the mass range from 145 to 1000 GeV decaying to a pair of W or Z bosons, JHEP 10 (2015) 144 [arXiv:1504.00936] [INSPIRE].

  128. ATLAS collaboration, Searches for Higgs boson pair production in the hh → bbττ, γγWW∗, γγbb, bbbb channels with the ATLAS detector, Phys. Rev. D 92 (2015) 092004 [arXiv:1509.04670] [INSPIRE].

  129. CMS collaboration, Search for resonant pair production of Higgs bosons decaying to two bottom quark–antiquark pairs in proton–proton collisions at 8 TeV, Phys. Lett. B 749 (2015) 560 [arXiv:1503.04114] [INSPIRE].

  130. CMS collaboration, Search for two Higgs bosons in final states containing two photons and two bottom quarks in proton-proton collisions at 8 TeV, Phys. Rev. D 94 (2016) 052012 [arXiv:1603.06896] [INSPIRE].

  131. CMS collaboration, Searches for a heavy scalar boson H decaying to a pair of 125 GeV Higgs bosons hh or for a heavy pseudoscalar boson A decaying to Zh, in the final states with h → ττ, Phys. Lett. B 755 (2016) 217 [arXiv:1510.01181] [INSPIRE].

  132. CMS collaboration, Search for Higgs boson pair production in the bbττ final state in proton-proton collisions at \( \sqrt{s} \) = 8 TeV, Phys. Rev. D 96 (2017) 072004 [arXiv:1707.00350] [INSPIRE].

  133. ATLAS collaboration, Search for pair production of Higgs bosons in the \( b\overline{b}b\overline{b} \) final state using proton-proton collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 01 (2019) 030 [arXiv:1804.06174] [INSPIRE].

  134. CMS collaboration, Search for resonant pair production of Higgs bosons decaying to bottom quark-antiquark pairs in proton-proton collisions at 13 TeV, JHEP 08 (2018) 152 [arXiv:1806.03548] [INSPIRE].

  135. ATLAS collaboration, Search for Higgs boson pair production in the \( \gamma \gamma b\overline{b} \) final state with 13 TeV pp collision data collected by the ATLAS experiment, JHEP 11 (2018) 040 [arXiv:1807.04873] [INSPIRE].

  136. CMS collaboration, Search for Higgs boson pair production in the \( \gamma \gamma \textrm{b}\overline{\textrm{b}} \) final state in pp collisions at \( \sqrt{s} \) = 13 TeV, Phys. Lett. B 788 (2019) 7 [arXiv:1806.00408] [INSPIRE].

  137. ATLAS collaboration, Search for resonant and non-resonant Higgs boson pair production in the \( b\overline{b}{\tau}^{+}{\tau}^{-} \) decay channel in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Rev. Lett. 121 (2018) 191801 [arXiv:1808.00336] [Erratum ibid. 122 (2019) 089901] [INSPIRE].

  138. CMS collaboration, Search for Higgs boson pair production in events with two bottom quarks and two tau leptons in proton–proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Lett. B 778 (2018) 101 [arXiv:1707.02909] [INSPIRE].

  139. CMS collaboration, Search for heavy resonances decaying into two Higgs bosons or into a Higgs boson and a W or Z boson in proton-proton collisions at 13 TeV, JHEP 01 (2019) 051 [arXiv:1808.01365] [INSPIRE].

  140. CMS collaboration, Search for resonant and nonresonant Higgs boson pair production in the \( \textrm{b}\overline{\textrm{b}}\ell \nu \ell \nu \) final state in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 01 (2018) 054 [arXiv:1708.04188] [INSPIRE].

  141. ATLAS collaboration, Search for Higgs boson pair production in the γγWW∗ channel using pp collision data recorded at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Eur. Phys. J. C 78 (2018) 1007 [arXiv:1807.08567] [INSPIRE].

  142. CMS collaboration, Combination of searches for Higgs boson pair production in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett. 122 (2019) 121803 [arXiv:1811.09689] [INSPIRE].

  143. ATLAS collaboration, Search for a CP-odd Higgs boson decaying to Zh in pp collisions at \( \sqrt{s} \) = 8 TeV with the ATLAS detector, Phys. Lett. B 744 (2015) 163 [arXiv:1502.04478] [INSPIRE].

  144. CMS collaboration, Search for a pseudoscalar boson decaying into a Z boson and the 125 GeV Higgs boson in \( {\ell}^{+}{\ell}^{-}\textrm{b}\overline{\textrm{b}} \) final states, Phys. Lett. B 748 (2015) 221 [arXiv:1504.04710] [INSPIRE].

  145. ATLAS collaboration, Search for heavy resonances decaying into a W or Z boson and a Higgs boson in final states with leptons and b-jets in 36 fb−1 of \( \sqrt{s} \) = 13 TeV pp collisions with the ATLAS detector, JHEP 03 (2018) 174 [arXiv:1712.06518] [Erratum ibid. 11 (2018) 051] [INSPIRE].

  146. CMS collaboration, Search for a heavy pseudoscalar boson decaying to a Z boson and a Higgs boson at \( \sqrt{s} \) = 13 TeV, CMS-PAS-HIG-18-005 (2018) [INSPIRE].

  147. CMS collaboration, Search for heavy resonances decaying into a vector boson and a Higgs boson in final states with charged leptons, neutrinos and b quarks at \( \sqrt{s} \) = 13 TeV, JHEP 11 (2018) 172 [arXiv:1807.02826] [INSPIRE].

  148. CMS collaboration, Search for a heavy pseudoscalar Higgs boson decaying into a 125 GeV Higgs boson and a Z boson in final states with two tau and two light leptons at \( \sqrt{s} \) = 13 TeV, JHEP 03 (2020) 065 [arXiv:1910.11634] [INSPIRE].

  149. CMS collaboration, Search for neutral resonances decaying into a Z boson and a pair of b jets or τ leptons, Phys. Lett. B 759 (2016) 369 [arXiv:1603.02991] [INSPIRE].

  150. ATLAS collaboration, Search for a heavy Higgs boson decaying into a Z boson and another heavy Higgs boson in the ℓℓbb final state in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Lett. B 783 (2018) 392 [arXiv:1804.01126] [INSPIRE].

  151. ATLAS collaboration, Search for charged Higgs bosons decaying via H± → τ±ν in fully hadronic final states using pp collision data at \( \sqrt{s} \) = 8 TeV with the ATLAS detector, JHEP 03 (2015) 088 [arXiv:1412.6663] [INSPIRE].

  152. CMS collaboration, Search for a charged Higgs boson in pp collisions at \( \sqrt{s} \) = 8 TeV, JHEP 11 (2015) 018 [arXiv:1508.07774] [INSPIRE].

  153. ATLAS collaboration, Search for charged Higgs bosons decaying via H± → τ±ντ in the τ +jets and τ +lepton final states with 36 fb−1 of pp collision data recorded at \( \sqrt{s} \) = 13 TeV with the ATLAS experiment, JHEP 09 (2018) 139 [arXiv:1807.07915] [INSPIRE].

  154. CMS collaboration, Search for charged Higgs bosons with the H± → τ±ντ decay channel in the fully hadronic final state at \( \sqrt{s} \) = 13 TeV, CMS-PAS-HIG-16-031 (2016) [INSPIRE].

  155. CMS collaboration, Search for charged Higgs bosons in the H± → τ±ντ decay channel in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 07 (2019) 142 [arXiv:1903.04560] [INSPIRE].

  156. ATLAS collaboration, Search for charged Higgs bosons in the H± → tb decay channel in pp collisions at \( \sqrt{s} \) = 8 TeV using the ATLAS detector, JHEP 03 (2016) 127 [arXiv:1512.03704] [INSPIRE].

  157. ATLAS collaboration, Search for charged Higgs bosons decaying into top and bottom quarks at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 11 (2018) 085 [arXiv:1808.03599] [INSPIRE].

  158. CMS collaboration, Search for charged Higgs bosons decaying into a top and a bottom quark in the all-jet final state of pp collisions at \( \sqrt{s} \) = 13 TeV, JHEP 07 (2020) 126 [arXiv:2001.07763] [INSPIRE].

  159. ATLAS collaboration, Search for doubly and singly charged Higgs bosons decaying into vector bosons in multi-lepton final states with the ATLAS detector using proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 06 (2021) 146 [arXiv:2101.11961] [INSPIRE].

  160. ATLAS collaboration, Search for a Charged Higgs Boson Produced in the Vector-Boson Fusion Mode with Decay H± → W±Z using pp Collisions at \( \sqrt{s} \) = 8 TeV with the ATLAS Experiment, Phys. Rev. Lett. 114 (2015) 231801 [arXiv:1503.04233] [INSPIRE].

  161. ATLAS collaboration, Search for resonant WZ production in the fully leptonic final state in proton-proton collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Lett. B 787 (2018) 68 [arXiv:1806.01532] [INSPIRE].

  162. CMS collaboration, Search for Charged Higgs Bosons Produced via Vector Boson Fusion and Decaying into a Pair of W and Z Bosons Using pp Collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett. 119 (2017) 141802 [arXiv:1705.02942] [INSPIRE].

  163. CMS collaboration, Measurement of electroweak WZ production and search for new physics in pp collisions at \( \sqrt{s} \) = 13 TeV, CMS-PAS-SMP-18-001 (2018) [INSPIRE].

  164. CMS collaboration, Search for charged Higgs bosons produced in vector boson fusion processes and decaying into vector boson pairs in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Eur. Phys. J. C 81 (2021) 723 [arXiv:2104.04762] [INSPIRE].

  165. ATLAS collaboration, Search for doubly charged scalar bosons decaying into same-sign W boson pairs with the ATLAS detector, Eur. Phys. J. C 79 (2019) 58 [arXiv:1808.01899] [INSPIRE].

  166. CMS collaboration, Study of vector boson scattering and search for new physics in events with two same-sign leptons and two jets, Phys. Rev. Lett. 114 (2015) 051801 [arXiv:1410.6315] [INSPIRE].

  167. CMS collaboration, Observation of electroweak production of same-sign W boson pairs in the two jet and two same-sign lepton final state in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett. 120 (2018) 081801 [arXiv:1709.05822] [INSPIRE].

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Acknowledgments

The works of TKC and CWC were supported in part by the National Science and Technology Council of Taiwan under Grant Nos. NSTC-108-2112-M-002-005-MY3 and 111-2112-M-002-018-MY3. The work of KY was supported in part by the Grant-in-Aid for Early-Career Scientists, No. 19K14714.

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Authors and Affiliations

  1. Department of Physics and Center for Theoretical Physics, National Taiwan University, Taipei, Taiwan, 10617, R.O.C.

    Ting-Kuo Chen & Cheng-Wei Chiang

  2. Department of Physics, University of Wisconsin-Madison, Madison, WI, 53706, USA

    Ting-Kuo Chen

  3. Physics Division, National Center for Theoretical Sciences, Taipei, Taiwan, 10617, R.O.C.

    Cheng-Wei Chiang

  4. Department of Physics, Osaka University, Toyonaka, Osaka, 560-0043, Japan

    Kei Yagyu

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  1. Ting-Kuo Chen
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Chen, TK., Chiang, CW. & Yagyu, K. CP violation in a model with Higgs triplets. J. High Energ. Phys. 2023, 69 (2023). https://doi.org/10.1007/JHEP06(2023)069

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  • Received: 21 March 2023

  • Revised: 09 May 2023

  • Accepted: 29 May 2023

  • Published: 13 June 2023

  • DOI: https://doi.org/10.1007/JHEP06(2023)069

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Keywords

  • CP Violation
  • Multi-Higgs Models
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