Abstract
We investigate the correlation between a possible deviation in the discovered Higgs boson h(125) couplings from the Standard Model prediction and the mass scale (M 2nd) of the next-to-lightest Higgs boson in models with non-minimal Higgs sectors. In particular, we comprehensively study a class of next-to-minimal Higgs sectors which satisfy the electroweak ρ parameter to be one at tree level. We derive an upper limit on M 2nd by imposing bounds from perturbative unitarity, vacuum stability, triviality and electroweak precision data as functions of the deviation in the hV V (V = W, Z) couplings. Furthermore, we discuss the complementarity between these bounds and the current LHC data, e.g., by considering direct searches for additional Higgs bosons and indirect constraints arising from the measured h(125) signal strengths.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
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].
G.C. Branco et al., Theory and phenomenology of two-Higgs-doublet models, Phys. Rept. 516 (2012) 1 [arXiv:1106.0034] [INSPIRE].
H. Georgi and M. Machacek, Doubly charged Higgs bosons, Nucl. Phys. B 262 (1985) 463 [INSPIRE].
M.S. Chanowitz and M. Golden, Higgs boson triplets with M W = M Z cos θ W , Phys. Lett. B 165 (1985) 105 [INSPIRE].
M. Gonderinger, Y. Li, H. Patel and M.J. Ramsey-Musolf, Vacuum stability, perturbativity and scalar singlet dark matter, JHEP 01 (2010) 053 [arXiv:0910.3167] [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].
R.N. Mohapatra and G. Senjanović, Neutrino masses and mixings in gauge models with spontaneous parity violation, Phys. Rev. D 23 (1981) 165 [INSPIRE].
M. Magg and C. Wetterich, Neutrino mass problem and gauge hierarchy, Phys. Lett. B 94 (1980) 61 [INSPIRE].
ATLAS collaboration, Physics at a high-luminosity LHC with ATLAS, arXiv:1307.7292 [INSPIRE].
CMS collaboration, Projected performance of an upgraded CMS detector at the LHC and HL-LHC: contribution to the Snowmass process, arXiv:1307.7135 [INSPIRE].
K. Fujii et al., Physics case for the International Linear Collider, arXiv:1506.05992 [INSPIRE].
B.W. Lee, C. Quigg and H.B. Thacker, Weak interactions at very high-energies: the role of the Higgs boson mass, Phys. Rev. D 16 (1977) 1519 [INSPIRE].
I.F. Ginzburg and I.P. Ivanov, Tree-level unitarity constraints in the most general 2HDM, Phys. Rev. D 72 (2005) 115010 [hep-ph/0508020] [INSPIRE].
S. Kanemura and K. Yagyu, Unitarity bound in the most general two Higgs doublet model, Phys. Lett. B 751 (2015) 289 [arXiv:1509.06060] [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].
A.G. Akeroyd, A. Arhrib and E.-M. Naimi, Note on tree level unitarity in the general two Higgs doublet model, Phys. Lett. B 490 (2000) 119 [hep-ph/0006035] [INSPIRE].
C.-Y. Chen, S. Dawson and I.M. Lewis, Exploring resonant di-Higgs boson production in the Higgs singlet model, Phys. Rev. D 91 (2015) 035015 [arXiv:1410.5488] [INSPIRE].
S. Kanemura, M. Kikuchi and K. Yagyu, One-loop corrections to the Higgs self-couplings in the singlet extension, Nucl. Phys. B 917 (2017) 154 [arXiv:1608.01582] [INSPIRE].
S.L. Glashow and S. Weinberg, Natural conservation laws for neutral currents, Phys. Rev. D 15 (1977) 1958 [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].
P.S. Bhupal Dev and A. Pilaftsis, Maximally symmetric two Higgs doublet model with natural standard model alignment, JHEP 12 (2014) 024 [Erratum ibid. 11 (2015) 147] [arXiv:1408.3405] [INSPIRE].
V.D. Barger, J.L. Hewett and R.J.N. Phillips, New constraints on the charged Higgs sector in two-Higgs-doublet models, Phys. Rev. D 41 (1990) 3421 [INSPIRE].
Y. Grossman, Phenomenology of models with more than two Higgs doublets, Nucl. Phys. B 426 (1994) 355 [hep-ph/9401311] [INSPIRE].
M. Aoki, S. Kanemura, K. Tsumura and K. Yagyu, Models of Yukawa interaction in the two Higgs doublet model and their collider phenomenology, Phys. Rev. D 80 (2009) 015017 [arXiv:0902.4665] [INSPIRE].
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].
M.E. Peskin and T. Takeuchi, A new constraint on a strongly interacting Higgs sector, Phys. Rev. Lett. 65 (1990) 964 [INSPIRE].
M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381 [INSPIRE].
M. Baak et al., The electroweak fit of the standard model after the discovery of a new boson at the LHC, Eur. Phys. J. C 72 (2012) 2205 [arXiv:1209.2716] [INSPIRE].
F. Mahmoudi and O. St al, Flavor constraints on the two-Higgs-doublet model with general Yukawa couplings, Phys. Rev. D 81 (2010) 035016 [arXiv:0907.1791] [INSPIRE].
T. Enomoto and R. Watanabe, Flavor constraints on the two Higgs doublet models of Z 2 symmetric and aligned types, JHEP 05 (2016) 002 [arXiv:1511.05066] [INSPIRE].
S. Kanemura, K. Tsumura, K. Yagyu and H. Yokoya, Fingerprinting nonminimal Higgs sectors, Phys. Rev. D 90 (2014) 075001 [arXiv:1406.3294] [INSPIRE].
S. Kanemura, H. Yokoya and Y.-J. Zheng, Complementarity in direct searches for additional Higgs bosons at the LHC and the International Linear Collider, Nucl. Phys. B 886 (2014) 524 [arXiv:1404.5835] [INSPIRE].
ATLAS collaboration, Search for charged Higgs bosons in the H ± → tb decay channel in pp collisions at \( \sqrt{s}=13 \) TeV using the ATLAS detector, ATLAS-CONF-2016-089 (2016).
ATLAS collaboration, A search for \( t\overline{t} \) resonances using lepton-plus-jets events in proton-proton collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 08 (2015) 148 [arXiv:1505.07018] [INSPIRE].
ATLAS collaboration, Searches for Higgs boson pair production in the hh → bbτ τ, γγW W ∗ , γγbb, bbbb channels with the ATLAS detector, Phys. Rev. D 92 (2015) 092004 [arXiv:1509.04670] [INSPIRE].
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].
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].
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].
S. Moretti, R. Santos and P. Sharma, Optimising charged Higgs boson searches at the Large Hadron Collider across \( b\overline{b}{W}^{\pm } \) final states, Phys. Lett. B 760 (2016) 697 [arXiv:1604.04965] [INSPIRE].
CMS collaboration, Search for charged Higgs bosons produced in vector boson fusion processes and decaying into a pair of W and Z bosons using proton-proton collisions at \( \sqrt{s}=13 \) TeV, arXiv:1705.02942 [INSPIRE].
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].
S. Dawson et al., Higgs Working Group report of the Snowmass 2013 community planning study, arXiv:1310.8361 [INSPIRE].
G. Cynolter, E. Lendvai and G. Pocsik, Note on unitarity constraints in a model for a singlet scalar dark matter candidate, Acta Phys. Polon. B 36 (2005) 827 [hep-ph/0410102] [INSPIRE].
S. Kanemura, M. Kikuchi and K. Yagyu, Radiative corrections to the Higgs boson couplings in the model with an additional real singlet scalar field, Nucl. Phys. B 907 (2016) 286 [arXiv:1511.06211] [INSPIRE].
M. Aoki and S. Kanemura, Unitarity bounds in the Higgs model including triplet fields with custodial symmetry, Phys. Rev. D 77 (2008) 095009 [Erratum ibid. D 89 (2014) 059902] [arXiv:0712.4053] [INSPIRE].
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].
L. Basso, O. Fischer and J.J. van der Bij, A renormalization group analysis of the Hill model and its HEIDI extension, Phys. Lett. B 730 (2014) 326 [arXiv:1309.6086] [INSPIRE].
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].
C.-W. Chiang, A.-L. Kuo and K. Yagyu, Radiative corrections to Higgs couplings with weak gauge bosons in custodial multi-Higgs models, arXiv:1707.04176 [INSPIRE].
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1707.05273
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Blasi, S., De Curtis, S. & Yagyu, K. Extracting the mass scale of a second Higgs boson from a deviation in h(125) couplings. J. High Energ. Phys. 2017, 91 (2017). https://doi.org/10.1007/JHEP09(2017)091
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2017)091