Abstract
We introduce and systematically study an expansive class of “orbifold Higgs” theories in which the weak scale is protected by accidental symmetries arising from the orbifold reduction of continuous symmetries. The protection mechanism eliminates quadratic sensitivity of the Higgs mass to higher scales at one loop (or more) and does not involve any new states charged under the Standard Model. The structures of the Higgs and top sectors are universal and determined exclusively by group theoretical considerations. The twin Higgs model fits within our framework as the simplest example of an orbifold Higgs. Our models admit UV completions as geometric orbifolds in higher dimensions, and fit naturally within frameworks of low scale gauge coupling unification.
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].
Z. Chacko, H.-S. Goh and R. Harnik, The Twin Higgs: Natural electroweak breaking from mirror symmetry, Phys. Rev. Lett. 96 (2006) 231802 [hep-ph/0506256] [INSPIRE].
Z. Chacko, Y. Nomura, M. Papucci and G. Perez, Natural little hierarchy from a partially goldstone twin Higgs, JHEP 01 (2006) 126 [hep-ph/0510273] [INSPIRE].
D. Poland and J. Thaler, The Dark Top, JHEP 11 (2008) 083 [arXiv:0808.1290] [INSPIRE].
H. Cai, H.-C. Cheng and J. Terning, A Quirky Little Higgs Model, JHEP 05 (2009) 045 [arXiv:0812.0843] [INSPIRE].
P. Batra and Z. Chacko, A Composite Twin Higgs Model, Phys. Rev. D 79 (2009) 095012 [arXiv:0811.0394] [INSPIRE].
G. Burdman, Z. Chacko, H.-S. Goh and R. Harnik, Folded supersymmetry and the LEP paradox, JHEP 02 (2007) 009 [hep-ph/0609152] [INSPIRE].
M. Bershadsky and A. Johansen, Large-N limit of orbifold field theories, Nucl. Phys. B 536 (1998) 141 [hep-th/9803249] [INSPIRE].
S. Kachru and E. Silverstein, 4 − D conformal theories and strings on orbifolds, Phys. Rev. Lett. 80 (1998) 4855 [hep-th/9802183] [INSPIRE].
M. Schmaltz, Duality of nonsupersymmetric large-N gauge theories, Phys. Rev. D 59 (1999) 105018 [hep-th/9805218] [INSPIRE].
N. Craig, S. Knapen and P. Longhi, Neutral Naturalness from Orbifold Higgs Models, Phys. Rev. Lett. 114 (2015) 061803 [arXiv:1410.6808] [INSPIRE].
P. Kovtun, M. Ünsal and L.G. Yaffe, Necessary and sufficient conditions for non-perturbative equivalences of large-N c orbifold gauge theories, JHEP 07 (2005) 008 [hep-th/0411177] [INSPIRE].
E.C.G. Stueckelberg, Interaction energy in electrodynamics and in the field theory of nuclear forces, Helv. Phys. Acta 11 (1938) 225 [INSPIRE].
R. Foot and R.R. Volkas, Natural electroweak symmetry breaking in generalised mirror matter models, Phys. Lett. B 645 (2007) 75 [hep-ph/0610013] [INSPIRE].
I. Antoniadis, A Possible new dimension at a few TeV, Phys. Lett. B 246 (1990) 377 [INSPIRE].
E. Ponton, TASI 2011: Four Lectures on TeV Scale Extra Dimensions, arXiv:1207.3827 [INSPIRE].
C. Csáki, J. Hubisz and P. Meade, TASI lectures on electroweak symmetry breaking from extra dimensions, hep-ph/0510275 [INSPIRE].
J. Scherk and J.H. Schwarz, Spontaneous Breaking of Supersymmetry Through Dimensional Reduction, Phys. Lett. B 82 (1979) 60 [INSPIRE].
Y. Kawamura, Split multiplets, coupling unification and extra dimension, Prog. Theor. Phys. 105 (2001) 691 [hep-ph/0012352] [INSPIRE].
Y. Kawamura, Triplet doublet splitting, proton stability and extra dimension, Prog. Theor. Phys. 105 (2001) 999 [hep-ph/0012125] [INSPIRE].
L.J. Hall and Y. Nomura, Gauge unification in higher dimensions, Phys. Rev. D 64 (2001) 055003 [hep-ph/0103125] [INSPIRE].
G. Altarelli and F. Feruglio, SU(5) grand unification in extra dimensions and proton decay, Phys. Lett. B 511 (2001) 257 [hep-ph/0102301] [INSPIRE].
A. Hebecker and J. March-Russell, A Minimal S 1 /(Z(2) × Z′(2)) orbifold GUT, Nucl. Phys. B 613 (2001) 3 [hep-ph/0106166] [INSPIRE].
A. Hebecker and J. March-Russell, The structure of GUT breaking by orbifolding, Nucl. Phys. B 625 (2002) 128 [hep-ph/0107039] [INSPIRE].
S. Chang, L.J. Hall and N. Weiner, A Supersymmetric twin Higgs, Phys. Rev. D 75 (2007) 035009 [hep-ph/0604076] [INSPIRE].
N. Craig and K. Howe, Doubling down on naturalness with a supersymmetric twin Higgs, JHEP 03 (2014) 140 [arXiv:1312.1341] [INSPIRE].
M. Geller and O. Telem, A Holographic Twin Higgs Model, arXiv:1411.2974 [INSPIRE].
L.E. Ibáñez, R. Rabadán and A.M. Uranga, Anomalous U(1)’s in type-I and type IIB D = 4, N =1 string vacua, Nucl. Phys. B 542 (1999) 112 [hep-th/9808139] [INSPIRE].
E. Poppitz, On the one loop Fayet-Iliopoulos term in chiral four-dimensional type-I orbifolds, Nucl. Phys. B 542 (1999) 31 [hep-th/9810010] [INSPIRE].
L.E. Ibáñez, F. Marchesano and R. Rabadán, Getting just the standard model at intersecting branes, JHEP 11 (2001) 002 [hep-th/0105155] [INSPIRE].
D.M. Ghilencea, L.E. Ibáñez, N. Irges and F. Quevedo, TeV scale Z-prime bosons from D-branes, JHEP 08 (2002) 016 [hep-ph/0205083] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions, Phys. Rev. Lett. 86 (2001) 4757 [hep-th/0104005] [INSPIRE].
N. Craig and H.K. Lou, Scherk-Schwarz Supersymmetry Breaking in 4D, JHEP 12 (2014) 184 [arXiv:1406.4880] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, Anomalies on orbifolds, Phys. Lett. B 516 (2001) 395 [hep-th/0103135] [INSPIRE].
K.R. Dienes, C.F. Kolda and J. March-Russell, Kinetic mixing and the supersymmetric gauge hierarchy, Nucl. Phys. B 492 (1997) 104 [hep-ph/9610479] [INSPIRE].
K.R. Dienes, E. Dudas and T. Gherghetta, Grand unification at intermediate mass scales through extra dimensions, Nucl. Phys. B 537 (1999) 47 [hep-ph/9806292] [INSPIRE].
K.R. Dienes, E. Dudas and T. Gherghetta, Extra space-time dimensions and unification, Phys. Lett. B 436 (1998) 55 [hep-ph/9803466] [INSPIRE].
SNO collaboration, S.N. Ahmed et al., Constraints on nucleon decay via ’invisible’ modes from the Sudbury Neutrino Observatory, Phys. Rev. Lett. 92 (2004) 102004 [hep-ex/0310030] [INSPIRE].
J.C. Pati and A. Salam, Lepton Number as the Fourth Color, Phys. Rev. D 10 (1974) 275 [Erratum ibid. D 11 (1975) 703-703] [INSPIRE].
A.V. Kuznetsov, N.V. Mikheev and A.V. Serghienko, The third type of fermion mixing and indirect limits on the Pati-Salam leptoquark mass, arXiv:1210.3697 [INSPIRE].
S. Glashow, Trinification of all elementary particle forces, Providence Grand Unif., Print-84-0577 (1984).
N. Craig, C. Englert and M. McCullough, New Probe of Naturalness, Phys. Rev. Lett. 111 (2013) 121803 [arXiv:1305.5251] [INSPIRE].
G. Burdman, Z. Chacko, R. Harnik, L. de Lima and C.B. Verhaaren, Colorless Top Partners, a 125 GeV Higgs, and the Limits on Naturalness, arXiv:1411.3310 [INSPIRE].
V. Silveira and A. Zee, Scalar phantoms, Phys. Lett. B 161 (1985) 136 [INSPIRE].
M.J. Strassler and K.M. Zurek, Echoes of a hidden valley at hadron colliders, Phys. Lett. B 651 (2007) 374 [hep-ph/0604261] [INSPIRE].
J.E. Juknevich, Pure-glue hidden valleys through the Higgs portal, JHEP 08 (2010) 121 [arXiv:0911.5616] [INSPIRE].
N. Craig, A. Katz, M. Strassler and R. Sundrum, to appear.
D.E. Kaplan, M.A. Luty and K.M. Zurek, Asymmetric Dark Matter, Phys. Rev. D 79 (2009) 115016 [arXiv:0901.4117] [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: 1411.7393
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
Craig, N., Knapen, S. & Longhi, P. The Orbifold Higgs. J. High Energ. Phys. 2015, 106 (2015). https://doi.org/10.1007/JHEP03(2015)106
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2015)106