Abstract
Having discovered a candidate for the final piece of the Standard Model, the Higgs boson, the question remains why its vacuum expectation value and its mass are so much smaller than the Planck scale (or any other high scale of new physics). One elegant solution was provided by Coleman and Weinberg, where all mass scales are generated from dimensionless coupling constants via dimensional transmutation. However, the original Coleman-Weinberg scenario predicts a Higgs mass which is too light; it is parametrically suppressed compared to the mass of the vectors bosons, and hence is much lighter than the observed value. In this paper we argue that a mass scale, generated via the Coleman-Weinberg mechanism in a hidden sector and then transmitted to the Standard Model through a Higgs portal, can naturally explain the smallness of the electroweak scale compared to the UV cutoff scale, and at the same time be consistent with the observed value. We analyse the phenomenology of such a model in the context of present and future colliders and low energy measurements.
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
F. Englert and R. Brout, Broken symmetry and the mass of gauge vector mesons, Phys. Rev. Lett. 13 (1964) 321 [INSPIRE].
P.W. Higgs, Broken symmetries, massless particles and gauge fields, Phys. Lett. 12 (1964) 132 [INSPIRE].
P.W. Higgs, Broken symmetries and the masses of gauge bosons, Phys. Rev. Lett. 13 (1964) 508 [INSPIRE].
G. Guralnik, C. Hagen and T. Kibble, Global conservation laws and massless particles, Phys. Rev. Lett. 13 (1964) 585 [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].
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].
S.R. Coleman and E.J. Weinberg, Radiative corrections as the origin of spontaneous symmetry breaking, Phys. Rev. D 7 (1973) 1888 [INSPIRE].
R. Hempfling, The next-to-minimal Coleman-Weinberg model, Phys. Lett. B 379 (1996) 153 [hep-ph/9604278] [INSPIRE].
W.-F. Chang, J.N. Ng and J.M. Wu, Shadow Higgs from a scale-invariant hidden U(1)(s) model, Phys. Rev. D 75 (2007) 115016 [hep-ph/0701254] [INSPIRE].
K.A. Meissner and H. Nicolai, Conformal symmetry and the standard model, Phys. Lett. B 648 (2007) 312 [hep-th/0612165] [INSPIRE].
K.A. Meissner and H. Nicolai, Effective action, conformal anomaly and the issue of quadratic divergences, Phys. Lett. B 660 (2008) 260 [arXiv:0710.2840] [INSPIRE].
R. Foot, A. Kobakhidze and R.R. Volkas, Electroweak Higgs as a pseudo-goldstone boson of broken scale invariance, Phys. Lett. B 655 (2007) 156 [arXiv:0704.1165] [INSPIRE].
R. Foot, A. Kobakhidze, K. McDonald and R. Volkas, Neutrino mass in radiatively-broken scale-invariant models, Phys. Rev. D 76 (2007) 075014 [arXiv:0706.1829] [INSPIRE].
R. Foot, A. Kobakhidze, K.L. McDonald and R.R. Volkas, A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory, Phys. Rev. D 77 (2008) 035006 [arXiv:0709.2750] [INSPIRE].
S. Iso, N. Okada and Y. Orikasa, Classically conformal B-L extended standard model, Phys. Lett. B 676 (2009) 81 [arXiv:0902.4050] [INSPIRE].
M. Holthausen, M. Lindner and M.A. Schmidt, Radiative symmetry breaking of the minimal left-right symmetric model, Phys. Rev. D 82 (2010) 055002 [arXiv:0911.0710] [INSPIRE].
R. Foot, A. Kobakhidze and R.R. Volkas, Stable mass hierarchies and dark matter from hidden sectors in the scale-invariant standard model, Phys. Rev. D 82 (2010) 035005 [arXiv:1006.0131] [INSPIRE].
L. Alexander-Nunneley and A. Pilaftsis, The minimal scale invariant extension of the standard model, JHEP 09 (2010) 021 [arXiv:1006.5916] [INSPIRE].
S. Iso and Y. Orikasa, TeV Scale B-L model with a flat Higgs potential at the Planck scale — In view of the hierarchy problem, PTEP 2013 (2013) 023B08 [arXiv:1210.2848] [INSPIRE].
W.A. Bardeen, On naturalness in the standard model, FERMILAB-CONF-95-391 (1995).
T. Binoth and J.J. van der Bij, Influence of strongly coupled, hidden scalars on Higgs signals, Z. Phys. C 75 (1997) 17 [hep-ph/9608245] [INSPIRE].
R. Schabinger and J.D. Wells, A minimal spontaneously broken hidden sector and its impact on Higgs boson physics at the large hadron collider, Phys. Rev. D 72 (2005) 093007 [hep-ph/0509209] [INSPIRE].
B. Patt and F. Wilczek, Higgs-field portal into hidden sectors, hep-ph/0605188 [INSPIRE].
S. Weinberg, Ultraviolet divergences in quantum theories of gravitation, in General relativity: an Einstein centenary survey, S.W. Hawking and W. Israel eds., Cambridge University Press, Cambridge U.K. (1979).
L. Okun, Limits of electrodynamics: paraphotons?, Sov. Phys. JETP 56 (1982) 502 [Zh. Eksp. Teor. Fiz. 83 (1982) 892] [INSPIRE].
B. Holdom, Two U(1)’s and ϵ charge shifts, Phys. Lett. B 166 (1986) 196 [INSPIRE].
M.T. Frandsen, F. Kahlhoefer, A. Preston, S. Sarkar and K. Schmidt-Hoberg, LHC and Tevatron bounds on the dark matter direct detection cross-section for vector mediators, JHEP 07 (2012) 123 [arXiv:1204.3839] [INSPIRE].
CMS collaboration, Search for narrow resonances in dilepton mass spectra in pp collisions at \( \sqrt{s}=7 \) TeV, Phys. Lett. B 714 (2012) 158 [arXiv:1206.1849] [INSPIRE].
J. Jaeckel, M. Jankowiak and M. Spannowsky, LHC probes the hidden sector, arXiv:1212.3620 [INSPIRE].
S. Bock et al., Measuring hidden Higgs and strongly-interacting Higgs scenarios, Phys. Lett. B 694 (2010) 44 [arXiv:1007.2645] [INSPIRE].
C. Englert, T. Plehn, D. Zerwas and P.M. Zerwas, Exploring the Higgs portal, Phys. Lett. B 703 (2011) 298 [arXiv:1106.3097] [INSPIRE].
C. Englert, T. Plehn, M. Rauch, D. Zerwas and P.M. Zerwas, LHC: standard Higgs and hidden Higgs, Phys. Lett. B 707 (2012) 512 [arXiv:1112.3007] [INSPIRE].
J.H. Collins and J.D. Wells, Hidden-sector Higgs bosons at high-energy electron-positron colliders, arXiv:1210.0205 [INSPIRE].
J.R. Espinosa, M. Muhlleitner, C. Grojean and M. Trott, Probing for invisible Higgs decays with global fits, JHEP 09 (2012) 126 [arXiv:1205.6790] [INSPIRE].
E. Weihs and J. Zurita, Dark Higgs models at the 7 TeV LHC, JHEP 02 (2012) 041 [arXiv:1110.5909] [INSPIRE].
D. Bertolini and M. McCullough, The social Higgs, JHEP 12 (2012) 118 [arXiv:1207.4209] [INSPIRE].
B. Batell, D. McKeen and M. Pospelov, Singlet neighbors of the Higgs boson, JHEP 10 (2012) 104 [arXiv:1207.6252] [INSPIRE].
C. Burgess et al., Continuous global symmetries and hyperweak interactions in string compactifications, JHEP 07 (2008) 073 [arXiv:0805.4037] [INSPIRE].
M. Ahlers, J. Jaeckel, J. Redondo and A. Ringwald, Probing hidden sector photons through the Higgs window, Phys. Rev. D 78 (2008) 075005 [arXiv:0807.4143] [INSPIRE].
M.J. Dolan, C. Englert and M. Spannowsky, New physics in LHC Higgs boson pair production, Phys. Rev. D 87 (2013) 055002 [arXiv:1210.8166] [INSPIRE].
A. Djouadi, J. Kalinowski and M. Spira, HDECAY: a program for Higgs boson decays in the standard model and its supersymmetric extension, Comput. Phys. Commun. 108 (1998) 56 [hep-ph/9704448] [INSPIRE].
A. Bredenstein, A. Denner, S. Dittmaier and M. Weber, Precise predictions for the Higgs-boson decay H → W W/ZZ → 4 leptons, Phys. Rev. D 74 (2006) 013004 [hep-ph/0604011] [INSPIRE].
G. Ciapetti, Hidden valley Higgs decays in the ATLAS detector, ATL-COM-PHYS-2008-155 (2008).
A. Nisati, S. Petrarca and G. Salvini, On the possible detection of massive stable exotic particles at the LHC, ATL-MUON-97-205 (1997).
S. Ambrosanio et al., Measuring the SUSY breaking scale at the LHC in the slepton NLSP scenario of GMSB models, ATL-PHYS-2002-006 (2000).
S. Tarem et al., Can ATLAS avoid missing the long lived stau?, ATL-PHYS-PUB-2005-022 (2005).
J. Ellis, A.R. Raklev and O.K. Oye, Measuring massive metastable charged particles with ATLAS RPC timing information., ATL-PHYS-PUB-2007-016 (2006).
S. Tarem, S. Bressler, H. Nomoto and A. Di Mattia, Trigger and reconstruction for a heavy long lived charged particles with the ATLAS detector, ATL-PHYS-PUB-2008-001 (2008).
ATLAS collaboration, An update of combined measurements of the new Higgs-like boson with high mass resolution channels, ATLAS-CONF-2012-170 (2012).
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-12-045 (2012).
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].
A. Azatov, R. Contino and J. Galloway, Model-independent bounds on a light Higgs, JHEP 04 (2012) 127 [arXiv:1202.3415] [INSPIRE].
D. Carmi, A. Falkowski, E. Kuflik, T. Volansky and J. Zupan, Higgs after the discovery: a status report, JHEP 10 (2012) 196 [arXiv:1207.1718] [INSPIRE].
P.P. Giardino, K. Kannike, M. Raidal and A. Strumia, Is the resonance at 125 GeV the Higgs boson?, Phys. Lett. B 718 (2012) 469 [arXiv:1207.1347] [INSPIRE].
J. Ellis and T. You, Global analysis of the Higgs candidate with mass ~ 125 GeV, JHEP 09 (2012) 123 [arXiv:1207.1693] [INSPIRE].
J. Espinosa, C. Grojean, M. Muhlleitner and M. Trott, First glimpses at Higgs’ face, JHEP 12 (2012) 045 [arXiv:1207.1717] [INSPIRE].
T. Plehn and M. Rauch, Higgs couplings after the discovery, Europhys. Lett. 100 (2012) 11002 [arXiv:1207.6108] [INSPIRE].
T. Corbett, O. Eboli, J. Gonzalez-Fraile and M. Gonzalez-Garcia, Robust determination of the Higgs couplings: power to the data, Phys. Rev. D 87 (2013) 015022 [arXiv:1211.4580] [INSPIRE].
E. Masso and V. Sanz, Limits on anomalous couplings of the Higgs to electroweak gauge bosons from LEP and LHC, Phys. Rev. D 87 (2013) 033001 [arXiv:1211.1320] [INSPIRE].
B.A. Dobrescu and J.D. Lykken, Coupling spans of the Higgs-like boson, JHEP 02 (2013) 073 [arXiv:1210.3342] [INSPIRE].
M. Klute, R. Lafaye, T. Plehn, M. Rauch and D. Zerwas, Measuring Higgs couplings at a linear collider, Europhys. Lett. 101 (2013) 51001 [arXiv:1301.1322] [INSPIRE].
C.F. Duerig, Determination of the Higgs decay width at ILC, Master thesis, University Bonn, Bonn, Germany (2012), http://lhc-ilc.physik.uni-bonn.de/thesis/Masterarbeitduerig.pdf.
B.A. Dobrescu, G.D. Kribs and A. Martin, Higgs Underproduction at the LHC, Phys. Rev. D 85 (2012) 074031 [arXiv:1112.2208] [INSPIRE].
G.D. Kribs and A. Martin, Enhanced di-Higgs production through light colored scalars, Phys. Rev. D 86 (2012) 095023 [arXiv:1207.4496] [INSPIRE].
M. Bowen, Y. Cui and J.D. Wells, Narrow trans-TeV Higgs bosons and H → hh decays: two LHC search paths for a hidden sector Higgs boson, JHEP 03 (2007) 036 [hep-ph/0701035] [INSPIRE].
T. Plehn, M. Spira and P. Zerwas, Pair production of neutral Higgs particles in gluon-gluon collisions, Nucl. Phys. B 479 (1996) 46 [Erratum ibid. B 531 (1998) 655] [hep-ph/9603205] [INSPIRE].
M. Spira, Hpair, http://people.web.psi.ch/spira/proglist.html.
G.G. Raffelt and D.S. Dearborn, Bounds on hadronic axions from stellar evolution, Phys. Rev. D 36 (1987) 2211 [INSPIRE].
G.G. Raffelt and D.S. Dearborn, Bounds on weakly interacting particles from observational lifetimes of helium burning stars, Phys. Rev. D 37 (1988) 549 [INSPIRE].
G.G. Raffelt and G.D. Starkman, Stellar energy transfer by keV mass scalars, Phys. Rev. D 40 (1989) 942 [INSPIRE].
G.G. Raffelt, Stars as laboratories for fundamental physics: the astrophysics of neutrinos, axions, and other weakly interacting particles, Chicago University Press, Chicago, U.S.A. (1996).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Englert, C., Jaeckel, J., Khoze, V.V. et al. Emergence of the electroweak scale through the Higgs portal. J. High Energ. Phys. 2013, 60 (2013). https://doi.org/10.1007/JHEP04(2013)060
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2013)060