Abstract
Within composite Higgs models based on the top seesaw mechanism, we show that the Higgs field can arise as the pseudo Nambu-Goldstone boson of the broken U(3) L chiral symmetry associated with a vector-like quark and the t-b doublet. As a result, the lightest CP-even neutral state of the composite scalar sector is lighter than the top quark, and can be identified as the newly discovered Higgs boson. Constraints on weak-isospin violation push the chiral symmetry breaking scale above a few TeV, implying that other composite scalars are probably too heavy to be probed at the LHC, but may be within reach at a future hadron collider with center-of-mass energy of about 100 TeV.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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].
D.B. Kaplan and H. Georgi, SU(2) × U(1) Breaking by Vacuum Misalignment, Phys. Lett. B 136 (1984) 183 [INSPIRE].
D.B. Kaplan, H. Georgi and S. Dimopoulos, Composite Higgs Scalars, Phys. Lett. B 136 (1984) 187 [INSPIRE].
T. Banks, Constraints on SU(2) × U(1) breaking by vacuum misalignment, Nucl. Phys. B 243 (1984) 125 [INSPIRE].
H. Georgi, D.B. Kaplan and P. Galison, Calculation of the Composite Higgs Mass, Phys. Lett. B 143 (1984) 152 [INSPIRE].
M.J. Dugan, H. Georgi and D.B. Kaplan, Anatomy of a Composite Higgs Model, Nucl. Phys. B 254 (1985) 299 [INSPIRE].
V. Koulovassilopoulos and R.S. Chivukula, The Phenomenology of a nonstandard Higgs boson in W(L) W(L) scattering, Phys. Rev. D 50 (1994) 3218 [hep-ph/9312317] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, Electroweak symmetry breaking from dimensional deconstruction, Phys. Lett. B 513 (2001) 232 [hep-ph/0105239] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen, E. Katz, A.E. Nelson, T. Gregoire et al., The Minimal moose for a little Higgs, JHEP 08 (2002) 021 [hep-ph/0206020] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen, E. Katz and A.E. Nelson, The Littlest Higgs, JHEP 07 (2002) 034 [hep-ph/0206021] [INSPIRE].
M. Schmaltz and D. Tucker-Smith, Little Higgs review, Ann. Rev. Nucl. Part. Sci. 55 (2005) 229 [hep-ph/0502182] [INSPIRE].
R. Contino, Y. Nomura and A. Pomarol, Higgs as a holographic pseudoGoldstone boson, Nucl. Phys. B 671 (2003) 148 [hep-ph/0306259] [INSPIRE].
K. Agashe, R. Contino and A. Pomarol, The Minimal composite Higgs model, Nucl. Phys. B 719 (2005) 165 [hep-ph/0412089] [INSPIRE].
D.B. Kaplan, Flavor at SSC energies: A New mechanism for dynamically generated fermion masses, Nucl. Phys. B 365 (1991) 259 [INSPIRE].
R. Contino, L. Da Rold and A. Pomarol, Light custodians in natural composite Higgs models, Phys. Rev. D 75 (2007) 055014 [hep-ph/0612048] [INSPIRE].
O. Matsedonskyi, G. Panico and A. Wulzer, Light Top Partners for a Light Composite Higgs, JHEP 01 (2013) 164 [arXiv:1204.6333] [INSPIRE].
M. Redi and A. Tesi, Implications of a Light Higgs in Composite Models, JHEP 10 (2012) 166 [arXiv:1205.0232] [INSPIRE].
D. Marzocca, M. Serone and J. Shu, General Composite Higgs Models, JHEP 08 (2012) 013 [arXiv:1205.0770] [INSPIRE].
G.F. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The Strongly-Interacting Light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164] [INSPIRE].
S. De Curtis, M. Redi and A. Tesi, The 4D Composite Higgs, JHEP 04 (2012) 042 [arXiv:1110.1613] [INSPIRE].
I. Brivio, T. Corbett, O.J.P. Éboli, M.B. Gavela, J. Gonzalez-Fraile et al., Disentangling a dynamical Higgs, JHEP 03 (2014) 024 [arXiv:1311.1823] [INSPIRE].
Y. Nambu, Bootstrap symmetry breaking in electroweak unification, EFI-89-08.
V.A. Miransky, M. Tanabashi and K. Yamawaki, Dynamical Electroweak Symmetry Breaking with Large Anomalous Dimension and t Quark Condensate, Phys. Lett. B 221 (1989) 177 [INSPIRE].
V.A. Miransky, M. Tanabashi and K. Yamawaki, Is the t Quark Responsible for the Mass of W and Z Bosons?, Mod. Phys. Lett. A 4 (1989) 1043 [INSPIRE].
W.J. Marciano, Heavy top quark mass predictions, Phys. Rev. Lett. 62 (1989) 2793 [INSPIRE].
W.A. Bardeen, C.T. Hill and M. Lindner, Minimal Dynamical Symmetry Breaking of the Standard Model, Phys. Rev. D 41 (1990) 1647 [INSPIRE].
B.A. Dobrescu and C.T. Hill, Electroweak symmetry breaking via top condensation seesaw, Phys. Rev. Lett. 81 (1998) 2634 [hep-ph/9712319] [INSPIRE].
R.S. Chivukula, B.A. Dobrescu, H. Georgi and C.T. Hill, Top quark seesaw theory of electroweak symmetry breaking, Phys. Rev. D 59 (1999) 075003 [hep-ph/9809470] [INSPIRE].
B.A. Dobrescu, Minimal composite Higgs model with light bosons, Phys. Rev. D 63 (2001) 015004 [hep-ph/9908391] [INSPIRE].
H.-J. He, C.T. Hill and T.M.P. Tait, Top quark seesaw, vacuum structure and electroweak precision constraints, Phys. Rev. D 65 (2002) 055006 [hep-ph/0108041] [INSPIRE].
C. Balázs, T. Li, F. Wang and J.M. Yang, Top and Bottom Seesaw from Supersymmetric Strong Dynamics, JHEP 01 (2013) 186 [arXiv:1208.3767] [INSPIRE].
H.S. Fukano and K. Tuominen, 126 GeV Higgs boson in the top-seesaw model, JHEP 09 (2013) 021 [arXiv:1306.0205] [INSPIRE].
C.T. Hill, Topcolor: Top quark condensation in a gauge extension of the standard model, Phys. Lett. B 266 (1991) 419 [INSPIRE].
C.T. Hill and E.H. Simmons, Strong dynamics and electroweak symmetry breaking, Phys. Rept. 381 (2003) 235 [Erratum ibid. 390 (2004) 553-554] [hep-ph/0203079] [INSPIRE].
S.P. Martin, A Tumbling top quark condensate model, Phys. Rev. D 46 (1992) 2197 [hep-ph/9204204] [INSPIRE].
N. Arkani-Hamed, H.-C. Cheng, B.A. Dobrescu and L.J. Hall, Selfbreaking of the standard model gauge symmetry, Phys. Rev. D 62 (2000) 096006 [hep-ph/0006238] [INSPIRE].
Y. Nambu and G. Jona-Lasinio, Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1., Phys. Rev. 122 (1961) 345 [INSPIRE].
T. Das, G.S. Guralnik, V.S. Mathur, F.E. Low and J.E. Young, Electromagnetic mass difference of pions, Phys. Rev. Lett. 18 (1967) 759 [INSPIRE].
S. Weinberg, Precise relations between the spectra of vector and axial vector mesons, Phys. Rev. Lett. 18 (1967) 507 [INSPIRE].
U. Langenfeld, S. Moch and P. Uwer, Measuring the running top-quark mass, Phys. Rev. D 80 (2009) 054009 [arXiv:0906.5273] [INSPIRE].
V. Elias and M.D. Scadron, Scalar Boson Masses in Dynamically Broken Gauge Theories, Phys. Rev. Lett. 53 (1984) 1129 [INSPIRE].
A.C. Longhitano, Heavy Higgs Bosons in the Weinberg-Salam Model, Phys. Rev. D 22 (1980) 1166 [INSPIRE].
M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381 [INSPIRE].
M. Suzuki, Formation of Composite Higgs Bosons From Quark - Anti-quarks at Lower Energy Scales, Mod. Phys. Lett. A 5 (1990) 1205 [INSPIRE].
R.S. Chivukula and H. Georgi, Large-N and vacuum alignment in topcolor models, Phys. Rev. D 58 (1998) 075004 [hep-ph/9805478] [INSPIRE].
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] [INSPIRE].
N.D. Christensen and C. Duhr, FeynRules - Feynman rules made easy, Comput. Phys. Commun. 180 (2009) 1614 [arXiv:0806.4194] [INSPIRE].
A. Alloul, N.D. Christensen, C. Degrande, C. Duhr and B. Fuks, FeynRules 2.0 - A complete toolbox for tree-level phenomenology, Comput. Phys. Commun. 185 (2014) 2250 [arXiv:1310.1921] [INSPIRE].
J. Alwall, M. Herquet, F. Maltoni, O. Mattelaer and T. Stelzer, MadGraph 5 : Going Beyond, JHEP 06 (2011) 128 [arXiv:1106.0522] [INSPIRE].
ATLAS collaboration, Studies of Sensitivity to New Dilepton and Ditop Resonances with an Upgraded ATLAS Detector at a High-Luminosity LHC, ATL-PHYS-PUB-2013-003 (2013).
E. Brownson, N. Craig, U. Heintz, G. Kukartsev, M. Narain et al., Heavy Higgs Scalars at Future Hadron Colliders (A Snowmass Whitepaper), arXiv:1308.6334 [INSPIRE].
T. Han, H.E. Logan, B. McElrath and L.-T. Wang, Phenomenology of the little Higgs model, Phys. Rev. D 67 (2003) 095004 [hep-ph/0301040] [INSPIRE].
C.M. Bhat, P.C. Bhat, W. Chou, E. Gianfelice-Wendt, J. Lykken et al., Proton-proton and electron-positron collider in a 100 KM ring at Fermilab, arXiv:1306.2369 [INSPIRE].
W. Barletta, M. Battaglia, M. Klute, M. Mangano, S. Prestemon et al., Working Group Report: Hadron Colliders, arXiv:1310.0290 [INSPIRE].
T.P. Cheng and M. Sher, Mass Matrix Ansatz and Flavor Nonconservation in Models with Multiple Higgs Doublets, Phys. Rev. D 35 (1987) 3484 [INSPIRE].
A. Antaramian, L.J. Hall and A. Rasin, Flavor changing interactions mediated by scalars at the weak scale, Phys. Rev. Lett. 69 (1992) 1871 [hep-ph/9206205] [INSPIRE].
D. Atwood, L. Reina and A. Soni, Phenomenology of two Higgs doublet models with flavor changing neutral currents, Phys. Rev. D 55 (1997) 3156 [hep-ph/9609279] [INSPIRE].
G.C. Branco, P.M. Ferreira, L. Lavoura, M.N. Rebelo, M. Sher et al., Theory and phenomenology of two-Higgs-doublet models, Phys. Rept. 516 (2012) 1 [arXiv:1106.0034] [INSPIRE].
B. Pendleton and G.G. Ross, Mass and Mixing Angle Predictions from Infrared Fixed Points, Phys. Lett. B 98 (1981) 291 [INSPIRE].
C.T. Hill, Quark and Lepton Masses from Renormalization Group Fixed Points, Phys. Rev. D 24 (1981) 691 [INSPIRE].
C.T. Hill, C.N. Leung and S. Rao, Renormalization Group Fixed Points and the Higgs Boson Spectrum, Nucl. Phys. B 262 (1985) 517 [INSPIRE].
M.S. Carena, T.E. Clark, C.E.M. Wagner, W.A. Bardeen and K. Sasaki, Dynamical symmetry breaking and the top quark mass in the minimal supersymmetric standard model, Nucl. Phys. B 369 (1992) 33 [INSPIRE].
W.A. Bardeen, M.S. Carena, S. Pokorski and C.E.M. Wagner, Infrared Fixed Point Solution for the Top Quark Mass and Unification of Couplings in the MSSM, Phys. Lett. B 320 (1994) 110 [hep-ph/9309293] [INSPIRE].
T.P. Cheng, E. Eichten and L.-F. Li, Higgs Phenomena in Asymptotically Free Gauge Theories, Phys. Rev. D 9 (1974) 2259 [INSPIRE].
M. Bando, T. Kugo, N. Maekawa, N. Sasakura, Y. Watabiki et al., Compositeness Condition in Renormalization Group Equation, Phys. Lett. B 246 (1990) 466 [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: 1311.5928
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
Cheng, HC., Dobrescu, B.A. & Gu, J. Higgs mass from compositeness at a multi-TeV scale. J. High Energ. Phys. 2014, 0 (2014). https://doi.org/10.1007/JHEP08(2014)095
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2014)095