Abstract
We present a new class of composite Higgs models where an adjustable treelevel Higgs quartic coupling allows for a significant reduction in the tuning of the Higgs potential. Our 5D warped space implementation is the first example of a holographic composite Higgs model with a tree-level quartic. It is inspired by a 6D model where the quartic originates from the Tr[A5, A6]2 term of the gauge field strength, the same model that led to the original little Higgs construction of Arkani-Hamed, Cohen, and Georgi. Beyond the reduction of the tuning and the standard composite Higgs signatures, the model predicts a doubling of the KK states with relatively small splittings as well as a Higgs sector with two doublets in the decoupling limit.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
D.B. Kaplan and H. Georgi, SU(2) × U(1) breaking by vacuum misalignment, Phys. Lett. B 136B (1984) 183.
H. Georgi and D.B. Kaplan, Composite Higgs and custodial SU(2), Phys. Lett. B 145B (1984) 216.
M.J. Dugan, H. Georgi and D.B. Kaplan, Anatomy of a composite Higgs model, Nucl. Phys. B 254 (1985) 299 [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 and A.E. Nelson, The littlest Higgs, JHEP 07 (2002) 034 [hep-ph/0206021] [INSPIRE].
R. Contino, Y. Nomura and A. Pomarol, Higgs as a holographic pseudo-Goldstone 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].
G.F. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The strongly-interacting light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164] [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].
R. Contino, The higgs as a composite Nambu-Goldstone boson, arXiv:1005.4269 [INSPIRE].
B. Bellazzini, C. Csáki and J. Serra, Composite Higgses, Eur. Phys. J. C 74 (2014) 2766 [arXiv:1401.2457] [INSPIRE].
G. Panico and A. Wulzer, The composite Nambu-Goldstone higgs, Lect. Notes Phys. 913 (2016) pp.1 [arXiv:1506.01961] [INSPIRE].
C. Csáki, A. Falkowski and A. Weiler, The flavor of the composite pseudo-Goldstone Higgs, JHEP 09 (2008) 008 [arXiv:0804.1954] [INSPIRE].
C. Csáki, T. Ma and J. Shu, The maximally symmetric composite Higgs, Phys. Rev. Lett. 119 (2017) 131803 [arXiv:1702.00405] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions, Phys. Rev. Lett. 86 (2001) 4757 [hep-th/0104005] [INSPIRE].
T. Gregoire and J.G. Wacker, Mooses, topology and Higgs, JHEP 08 (2002) 019 [hep-ph/0206023] [INSPIRE].
G. Panico, M. Redi, A. Tesi and A. Wulzer, On the tuning and the mass of the composite Higgs, JHEP 03 (2013) 051 [arXiv:1210.7114] [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, H.-S. Goh and R. Harnik, A twin Higgs model from left-right symmetry, JHEP 01 (2006) 108 [hep-ph/0512088] [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].
N. Craig, S. Knapen and P. Longhi, Neutral naturalness from orbifold Higgs models, Phys. Rev. Lett. 114 (2015) 061803 [arXiv:1410.6808] [INSPIRE].
M. Geller and O. Telem, Holographic twin Higgs model, Phys. Rev. Lett. 114 (2015) 191801 [arXiv:1411.2974] [INSPIRE].
C. Csáki, M. Geller, O. Telem and A. Weiler, The flavor of the composite twin Higgs, JHEP 09 (2016) 146 [arXiv:1512.03427] [INSPIRE].
M. Low, A. Tesi and L.-T. Wang, Twin Higgs mechanism and a composite Higgs boson, Phys. Rev. D 91 (2015) 095012 [arXiv:1501.07890] [INSPIRE].
R. Barbieri, D. Greco, R. Rattazzi and A. Wulzer, The composite twin Higgs scenario, JHEP 08 (2015) 161 [arXiv:1501.07803] [INSPIRE].
N. Craig, A. Katz, M. Strassler and R. Sundrum, Naturalness in the dark at the LHC, JHEP 07 (2015) 105 [arXiv:1501.05310] [INSPIRE].
J. Serra and R. Torre, Neutral naturalness from the brother-Higgs model, Phys. Rev. D 97 (2018) 035017 [arXiv:1709.05399] [INSPIRE].
C. Csáki, T. Ma and J. Shu, Trigonometric parity for the composite Higgs, arXiv:1709.08636 [INSPIRE].
R. Harnik, K. Howe and J. Kearney, Tadpole-induced electroweak symmetry breaking and PNGB Higgs models, JHEP 03 (2017) 111 [arXiv:1603.03772] [INSPIRE].
A. Katz et al., SUSY meets her twin, JHEP 01 (2017) 142 [arXiv:1611.08615] [INSPIRE].
J. Thaler and I. Yavin, The littlest Higgs in Anti-de Sitter space, JHEP 08 (2005) 022 [hep-ph/0501036] [INSPIRE].
C. Csáki et al., A weakly coupled ultraviolet completion of the littlest Higgs with T-parity, Phys. Rev. D 79 (2009) 035014 [arXiv:0804.0622] [INSPIRE].
J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
N. Arkani-Hamed, M. Porrati and L. Randall, Holography and phenomenology, JHEP 08 (2001) 017 [hep-th/0012148] [INSPIRE].
R. Rattazzi and A. Zaffaroni, Comments on the holographic picture of the Randall-Sundrum model, JHEP 04 (2001) 021 [hep-th/0012248] [INSPIRE].
R. Rattazzi and A. Zaffaroni, Comments on the holographic picture of the Randall-Sundrum model, JHEP 04 (2001) 021 [hep-th/0012248] [INSPIRE].
A. Falkowski, About the holographic pseudo-Goldstone boson, Phys. Rev. D 75 (2007) 025017 [hep-ph/0610336] [INSPIRE].
J. Mrazek et al., The other natural two Higgs doublet model, Nucl. Phys. B 853 (2011) 1 [arXiv:1105.5403] [INSPIRE].
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] [INSPIRE].
J. Bernon et al., Scrutinizing the alignment limit in two-Higgs-doublet models: m h = 125 GeV, Phys. Rev. D 92 (2015) 075004 [arXiv:1507.00933] [INSPIRE].
ATLAS collaboration, Search for pair production of heavy vector-like quarks decaying to high-p T W bosons and b quarks in the lepton-plus-jets final state in pp collisions a t \( \sqrt{s}=13 \) TeV with the ATLAS detector, JHEP 10 (2017) 141 [arXiv:1707.03347] [INSPIRE].
CMS collaboration, Search for pair production of vector-like quarks in the \( bW\overline{b}W \) channel from proton-proton collisions at \( \sqrt{s}=13 \) TeV, Phys. Lett. B 779 (2018) 82 [arXiv:1710.01539] [INSPIRE].
G. Cacciapaglia et al., A GIM mechanism from extra dimensions, JHEP 04 (2008) 006 [arXiv:0709.1714] [INSPIRE].
C. Csáki, A. Falkowski and A. Weiler, A simple flavor protection for RS, Phys. Rev. D 80 (2009) 016001 [arXiv:0806.3757] [INSPIRE].
M. Redi and A. Weiler, Flavor and CP invariant composite Higgs models, JHEP 11 (2011) 108 [arXiv:1106.6357] [INSPIRE].
R. Barbieri, D. Buttazzo, F. Sala and D.M. Straub, Flavour physics from an approximate U (2)3 symmetry, JHEP 07 (2012) 181 [arXiv:1203.4218] [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: 1710.08921
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, 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 licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Csáki, C., Geller, M. & Telem, O. Tree-level quartic for a holographic composite Higgs. J. High Energ. Phys. 2018, 134 (2018). https://doi.org/10.1007/JHEP05(2018)134
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2018)134