Abstract
Based on the Multiple Point Principle, the Higgs boson mass has been predicted to be 135 ± 9 GeV — more than two decades ago. We study the Multiple Point Principle and its prospects with respect to the Two-Higgs-Doublet model (THDM). Applying the bilinear formalism we show that concise conditions can be given with a classification of different kinds of realizations of this principle. We recover cases discussed in the literature but identify also different realizations of the Multiple Point Principle.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
D.L. Bennett and H.B. Nielsen, Predictions for nonAbelian fine structure constants from multicriticality, Int. J. Mod. Phys. A 9 (1994) 5155 [hep-ph/9311321] [INSPIRE].
D.L. Bennett, Multiple point criticality, nonlocality, and fine tuning in fundamental physics: Predictions for gauge coupling constants gives α−1 = 136.8 ± 9, Ph.D. Thesis, Niels Bohr Institute, University of Copenhagen, Copenhagen Denmark (1996) [hep-ph/9607341] [INSPIRE].
D.L. Bennett and H.B. Nielsen, Gauge couplings calculated from multiple point criticality yield α−1 = 136.8 ± 9: at last the elusive case of U(1), Int. J. Mod. Phys. A 14 (1999) 3313 [hep-ph/9607278] [INSPIRE].
D. Bennett and H. Nielsen, The multiple point principle: Realized vacuum in nature is maximally degenerate, Bled Workshops Phys. 4 (2003) 235.
C.D. Froggatt and H.B. Nielsen, Standard model criticality prediction: Top mass 173 ± 5 GeV and Higgs mass 135 ± 9 GeV, Phys. Lett. B 368 (1996) 96 [hep-ph/9511371] [INSPIRE].
G. Degrassi et al., Higgs mass and vacuum stability in the Standard Model at NNLO, JHEP 08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Phys. Rev. D 98 (2018) 030001 [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 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].
T.D. Lee, A Theory of Spontaneous T Violation, Phys. Rev. D 8 (1973) 1226 [INSPIRE].
W. Bernreuther and O. Nachtmann, Flavor dynamics with general scalar fields, Eur. Phys. J. C 9 (1999) 319 [hep-ph/9812259] [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.F. Gunion, H.E. Haber, G.L. Kane and S. Dawson, The Higgs Hunter’s Guide, Front. Phys. 80 (2000) 1 [INSPIRE].
C.D. Froggatt, L.V. Laperashvili, R.B. Nevzorov, H.B. Nielsen and M. Sher, The Two Higgs doublet model and the multiple point principle, Bled Workshops Phys. 5 (2004) 28 [hep-ph/0412333] [INSPIRE].
J. McDowall and D.J. Miller, High Scale Boundary Conditions in Models with Two Higgs Doublets, Phys. Rev. D 100 (2019) 015018 [arXiv:1810.04518] [INSPIRE].
F. Nagel, New aspects of gauge-boson couplings and the Higgs sector, Ph.D. Thesis, Heidelberg University, Heidelberg Germany (2004).
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].
C.C. Nishi, CP violation conditions in N-Higgs-doublet potentials, Phys. Rev. D 74 (2006) 036003 [Erratum ibid. 76 (2007) 119901] [hep-ph/0605153] [INSPIRE].
E. Ma and M. Maniatis, Symbiotic Symmetries of the Two-Higgs-Doublet Model, Phys. Lett. B 683 (2010) 33 [arXiv:0909.2855] [INSPIRE].
C.D. Froggatt, R. Nevzorov, H.B. Nielsen and D. Thompson, On the origin of approximate custodial symmetry in the Two-Higgs Doublet Model, Int. J. Mod. Phys. A 24 (2009) 5587 [arXiv:0806.3190] [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.D. Froggatt, L. Laperashvili, R. Nevzorov, H.B. Nielsen and M. Sher, Implementation of the multiple point principle in the two-Higgs doublet model of type-II, Phys. Rev. D 73 (2006) 095005 [hep-ph/0602054] [INSPIRE].
F. Lyonnet, I. Schienbein, F. Staub and A. Wingerter, PyR@TE: Renormalization Group Equations for General Gauge Theories, Comput. Phys. Commun. 185 (2014) 1130 [arXiv:1309.7030] [INSPIRE].
F. Lyonnet and I. Schienbein, PyR@TE 2: A Python tool for computing RGEs at two-loop, Comput. Phys. Commun. 213 (2017) 181 [arXiv:1608.07274] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2001.10541
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Maniatis, M., Sartore, L. & Schienbein, I. Multiple point principle in the general Two-Higgs-Doublet model. J. High Energ. Phys. 2020, 158 (2020). https://doi.org/10.1007/JHEP08(2020)158
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2020)158