[en] In the two Higgs doublet model, there is the possibility that the vacuum where the universe resides in is metastable. We present the tree-level bounds on the scalar potential parameters which have to be obeyed to prevent that situation. Analytical expressions for those bounds are shown for the most used potential, that with a softly broken Z 2 symmetry. The impact of those bounds on the model’s phenomenology is discussed in detail, as well as the importance of the current LHC results in determining whether the vacuum we live in is or is not stable. We demonstrate how the vacuum stability bounds can be obtained for the most generic CP-conserving potential, and provide a simple method to implement them.
Disciplines :
Physics
Author, co-author :
Barroso, Augusto; University of Lisbon > CFTC
Ferreira, Pedro; University of Lisbon > CFTC
Ivanov, Igor ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Physique des astroparticules
Santos, Rui; University of Lisbon > CFTC
Language :
English
Title :
Metastability bounds on the two Higgs doublet model
Publication date :
June 2013
Journal title :
Journal of High Energy Physics
ISSN :
1126-6708
eISSN :
1029-8479
Publisher :
Institute of Physics Publishing (IOP), Bristol, United Kingdom
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Bibliography
T. Lee, A Theory of Spontaneous T Violation, Phys. Rev. D 8 (1973) 1226.
G. Branco, P. Ferreira, L. Lavoura, M. Rebelo, M. Sher et al., Theory and phenomenology of two-Higgs-doublet models, Phys. Rept. 516 (2012) 1 [ arXiv:1106.0034 ].
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 ].
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 ].
C.-Y. Chen and S. Dawson, Exploring Two Higgs Doublet Models Through Higgs Production, arXiv:1301.0309.
G. Bélanger, B. Dumont, U. Ellwanger, J. Gunion and S. Kraml, Higgs Couplings at the End of 2012, JHEP 02 (2013) 053 [ arXiv:1212.5244 ].
S. Chang, S.K. Kang, J.-P. Lee, K.Y. Lee, S.C. Park et al., Comprehensive study of two Higgs doublet model in light of the new boson with mass around 125 GeV, JHEP 05 (2013) 075 [ arXiv:1210.3439 ].
P. Ferreira, R. Santos, M. Sher and J.P. Silva, Implications of the LHC two-photon signal for two-Higgs-doublet models, Phys. Rev. D 85 (2012) 077703 [ arXiv:1112.3277 ].
N.G. Deshpande and E. Ma, Pattern of Symmetry Breaking with Two Higgs Doublets, Phys. Rev. D 18 (1978) 2574.
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 ].
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 ].
B.W. Lee, C. Quigg and H. Thacker, The Strength of Weak Interactions at Very High-Energies and the Higgs Boson Mass, Phys. Rev. Lett. 38 (1977) 883.
B.W. Lee, C. Quigg and H. Thacker, Weak Interactions at Very High-Energies: The Role of the Higgs Boson Mass, Phys. Rev. D 16 (1977) 1519.
M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381.
H.E. Haber, Introductory Low-Energy Supersymmetry, in Recent directions in particle theory: from superstrings and black holes to the standard model, in proceedings of the Theoretical Advanced Study Institute (TASI 92), Boulder, CO, 1-26 June 1992, J. Harvey and J. Polchinski eds., World Scientific Publishing, Singapore (1993) pg. 589.
C. Froggatt, R. Moorhouse and I. Knowles, Leading radiative corrections in two scalar doublet models, Phys. Rev. D 45 (1992) 2471.
W. Grimus, L. Lavoura, O. Ogreid and P. Osland, The Oblique parameters in multi-Higgs-doublet models, Nucl. Phys. B 801 (2008) 81 [ arXiv:0802.4353 ].
H.E. Haber and D. O'Neil, Basis-independent methods for the two-Higgs-doublet model III: The CP-conserving limit, custodial symmetry and the oblique parameters S, T, U, Phys. Rev. D 83 (2011) 055017 [ arXiv:1011.6188 ].
ALEPH, CDF, D0, DELPHI, L3, OPAL, SLD collaboration, LEP, Tevatron Electroweak Working Group, SLD Electroweak and Heavy Flavour Groups, Precision Electroweak Measurements and Constraints on the Standard Model, arXiv:1012.2367.
M. Baak, M. Goebel, J. Haller, A. Hoecker, D. Ludwig et al., Updated Status of the Global Electroweak Fit and Constraints on New Physics, Eur. Phys. J. C 72 (2012) 2003 [ arXiv:1107.0975 ].
M. Baak, M. Goebel, J. Haller, A. Hoecker, D. Kennedy 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 ].
A. Barroso, P. Ferreira, I. Ivanov, R. Santos and J.P. Silva, Evading death by vacuum, arXiv:1211.6119.
R. Peccei and H.R. Quinn, CP Conservation in the Presence of Instantons, Phys. Rev. Lett. 38 (1977) 1440.
P. 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 ].
A. Barroso, P. Ferreira and R. Santos, Charge and CP symmetry breaking in two Higgs doublet models, Phys. Lett. B 632 (2006) 684 [ hep-ph/0507224 ].
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 ].
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 ].
A. Barroso, P. Ferreira and R. Santos, Neutral minima in two-Higgs doublet models, Phys. Lett. B 652 (2007) 181 [ hep-ph/0702098 ].
I.F.Ginzburg, K.A.Kanishev M. Krawczyk and D.Sokolovska, Complete set of observables in 2HDM, talk presented by K.A.Kanishev at Scalars2011, Warsaw, Poland.
J. Frere, D. Jones and S. Raby, Fermion Masses and Induction of the Weak Scale by Supergravity, Nucl. Phys. B 222 (1983) 11.
I. Ivanov, Thermal evolution of the ground state of the most general 2HDM, Acta Phys. Polon. B 40 (2009) 2789 [ arXiv:0812.4984 ].
I. Ginzburg, I. Ivanov and K. Kanishev, The Evolution of vacuum states and phase transitions in 2HDM during cooling of Universe, Phys. Rev. D 81 (2010) 085031 [ arXiv:0911.2383 ].
I. Ginzburg, K. Kanishev, M. Krawczyk and D. Sokolowska, Evolution of Universe to the present inert phase, Phys. Rev. D 82 (2010) 123533 [ arXiv:1009.4593 ].
I.P. Ivanov, General two-order-parameter Ginzburg-Landau model with quadratic and quartic interactions, Phys. Rev. E 79 (2009) 021116.
S.L. Glashow and S. Weinberg, Natural Conservation Laws for Neutral Currents, Phys. Rev. D 15 (1977) 1958.
E. Paschos, Diagonal Neutral Currents, Phys. Rev. D 15 (1977) 1966.
J.F. Gunion and H.E. Haber, The CP conserving two Higgs doublet model: The Approach to the decoupling limit, Phys. Rev. D 67 (2003) 075019 [ hep-ph/0207010 ].
S. Kanemura, Y. Okada, E. Senaha and C.-P. Yuan, Higgs coupling constants as a probe of new physics, Phys. Rev. D 70 (2004) 115002 [ hep-ph/0408364 ].
I.F. Ginzburg, M. Krawczyk and P. Osland, Two Higgs doublet models with CP-violation, hep-ph/0211371.
A. Arhrib, E. Christova, H. Eberl and E. Ginina, CP violation in charged Higgs production and decays in the Complex Two Higgs Doublet Model, JHEP 04 (2011) 089 [ arXiv:1011.6560 ].
A. Barroso, P. Ferreira, R. Santos and J.P. Silva, Probing the scalar-pseudoscalar mixing in the 125 GeV Higgs particle with current data, Phys. Rev. D 86 (2012) 015022 [ arXiv:1205.4247 ].
F. Nagel, New aspects of gauge-boson couplings and the Higgs sector, Ph.D. Thesis, University Heidelberg (2004) [ http://www.ub.uni-heidelberg.de/ archiv/4803 ].
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 ]. (Pubitemid 44879273)
T. Hermann, M. Misiak and M. Steinhauser, B̄ → X s γ in the Two Higgs Doublet Model up to Next-to-Next-to-Leading Order in QCD, JHEP 11 (2012) 036 [ arXiv:1208.2788 ].
F. Mahmoudi, talk given at Prospects For Charged Higgs Discovery At Colliders (CHARGED 2012), 8-11 October, Uppsala, Sweden.
ATLAS collaboration, Search for the Standard Model Higgs boson in H → τ + τ - decays in proton-proton collisions with the ATLAS detector, ATLAS-CONF-2012-160 (2012).
A. Arbey, M. Battaglia and F. Mahmoudi, Supersymmetric Heavy Higgs Bosons at the LHC, arXiv:1303.7450.
ATLAS collaboration, Measurements of the properties of the Higgs-like boson in the two photon decay channel with the ATLAS detector using 25 fb -1 of proton-proton collision data, ATLAS-CONF-2013-012 (2013).
ATLAS collaboration, Measurements of the properties of the Higgs-like boson in the four lepton decay channel with the ATLAS detector using 25 fb -1 of proton-proton collision data, ATLAS-CONF-2013-013 (2013).
ATLAS collaboration, Measurements of the properties of the Higgs-like boson in the WW (*) → ℓνℓν decay channel with the ATLAS detector using 25 fb -1 of proton-proton collision data, ATLAS-CONF-2013-030 (2013).
ATLAS collaboration, Combined coupling measurements of the Higgs-like boson with the ATLAS detector using up to 25 fb -1 of proton-proton collision data, ATLAS-CONF-2013-034 (2013).
CMS collaboration, Updated measurements of the Higgs boson at 125 GeV in the two photon decay channel, CMS-PAS-HIG-13-001 (2013).
CMS collaboration, Properties of the Higgs-like boson in the decay H to ZZ to 4l in pp collisions at sqrt s =7 and 8 TeV, CMS-PAS-HIG-13-002 (2013).
CMS collaboration, Evidence for a particle decaying to W+W- in the fully leptonic final state in a standard model Higgs boson search in pp collisions at the LHC, CMS-PAS-HIG-13-003 (2013).
CMS collaboration, Combination of standard model Higgs boson searches and measurements of the properties of the new boson with a mass near 125 GeV, CMS-PAS-HIG-13-005 (2013).
A. Arbey, M. Battaglia, A. Djouadi and F. Mahmoudi, An update on the constraints on the phenomenological MSSM from the new LHC Higgs results, Phys. Lett. B 720 (2013) 153 [ arXiv:1211.4004 ].
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 ].
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 ].
C.C. Nishi, The Structure of potentials with N Higgs doublets, Phys. Rev. D 76 (2007) 055013 [ arXiv:0706.2685 ].
C. Nishi, Physical parameters and basis transformations in the Two-Higgs-Doublet model, Phys. Rev. D 77 (2008) 055009 [ arXiv:0712.4260 ].
S.R. Coleman, The Fate of the False Vacuum. 1. Semiclassical Theory, Phys. Rev. D 15 (1977) 2929 [Erratum ibid. D 16 (1977) 1248].
V.A. Rubakov, Classical theory of gauge fields, University Press, Princeton, U.S.A. (2002).
S. Coleman, Aspects of Symmetry, Cambrigde University Press, U.S.A. (1985).
F.C. Adams, General solutions for tunneling of scalar fields with quartic potentials, Phys. Rev. D 48 (1993) 2800 [ hep-ph/9302321 ].
H.E. Haber and R. Hempfling, The Renormalization group improved Higgs sector of the minimal supersymmetric model, Phys. Rev. D 48 (1993) 4280 [ hep-ph/9307201 ].
P. 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 ].
P. 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 ].
Similar publications
Sorry the service is unavailable at the moment. Please try again later.
This website uses cookies to improve user experience. Read more
Save & Close
Accept all
Decline all
Show detailsHide details
Cookie declaration
About cookies
Strictly necessary
Performance
Strictly necessary cookies allow core website functionality such as user login and account management. The website cannot be used properly without strictly necessary cookies.
This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.
Performance cookies are used to see how visitors use the website, eg. analytics cookies. Those cookies cannot be used to directly identify a certain visitor.
Used to store the attribution information, the referrer initially used to visit the website
Cookies are small text files that are placed on your computer by websites that you visit. Websites use cookies to help users navigate efficiently and perform certain functions. Cookies that are required for the website to operate properly are allowed to be set without your permission. All other cookies need to be approved before they can be set in the browser.
You can change your consent to cookie usage at any time on our Privacy Policy page.
