Abstract
Simple Composite Higgs models predict new vector-like fermions not too far from the electroweak scale, yet LHC limits are now sensitive to the TeV scale. Motivated by this tension, we explore the holographic dual of the minimal model, MCHM5, to try and alleviate this tension without increasing the fine-tuning in the Higgs potential. Interestingly, we find that lowering the UV cutoff in the 5D picture allows for heavier top partners and less fine-tuning. In the 4D dual this corresponds to increasing the number of “colours” N , thus increasing the decay constant of the Goldstone Higgs. This is essentially a ‘Little Randall-Sundrum Model’, which are known to reduce some flavour and electroweak constraints. Furthermore, in anticipation of the ongoing efforts at the LHC to put bounds on the top Yukawa, we demonstrate that deviations from the SM can be suppressed or enhanced with respect to what is expected from mere symmetry arguments in 4D. We conclude that the 5D holographic realisation of the MCHM5 with a small UV cutoff is not in tension with the current experimental data.
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].
S. De Curtis, M. Redi and A. Tesi, The 4D Composite Higgs, JHEP 04 (2012) 042 [arXiv:1110.1613] [INSPIRE].
O. Matsedonskyi, G. Panico and A. Wulzer, Light top partners for a light Composite Higgs, JHEP 01 (2013) 164 [arXiv:1204.6333] [INSPIRE].
D. Marzocca, M. Serone and J. Shu, General Composite Higgs models, JHEP 08 (2012) 013 [arXiv:1205.0770] [INSPIRE].
A. Pomarol and F. Riva, The Composite Higgs and light resonance connection, JHEP 08 (2012) 135 [arXiv:1205.6434] [INSPIRE].
G.F. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The strongly-interacting light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164] [INSPIRE].
C. Anastasiou, E. Furlan and J. Santiago, Realistic Composite Higgs models, Phys. Rev. D 79 (2009) 075003 [arXiv:0901.2117] [INSPIRE].
G. Panico and A. Wulzer, The discrete Composite Higgs model, JHEP 09 (2011) 135 [arXiv:1106.2719] [INSPIRE].
A. Azatov and J. Galloway, Light custodians and Higgs physics in composite models, Phys. Rev. D 85 (2012) 055013 [arXiv:1110.5646] [INSPIRE].
R. Lewis, C. Pica and F. Sannino, Light asymmetric dark matter on the lattice: SU(2) technicolor with two fundamental flavors, Phys. Rev. D 85 (2012) 014504 [arXiv:1109.3513] [INSPIRE].
A. Hietanen, R. Lewis, C. Pica and F. Sannino, Composite Goldstone dark matter: experimental predictions from the lattice, JHEP 12 (2014) 130 [arXiv:1308.4130] [INSPIRE].
A. Hietanen, R. Lewis, C. Pica and F. Sannino, Fundamental Composite Higgs dynamics on the lattice: SU(2) with two flavors, JHEP 07 (2014) 116 [arXiv:1404.2794] [INSPIRE].
D.T. Son and M.A. Stephanov, QCD and dimensional deconstruction, Phys. Rev. D 69 (2004) 065020 [hep-ph/0304182] [INSPIRE].
J. Erlich, E. Katz, D.T. Son and M.A. Stephanov, QCD and a holographic model of hadrons, Phys. Rev. Lett. 95 (2005) 261602 [hep-ph/0501128] [INSPIRE].
L. Da Rold and A. Pomarol, Chiral symmetry breaking from five dimensional spaces, Nucl. Phys. B 721 (2005) 79 [hep-ph/0501218] [INSPIRE].
J. Hirn and V. Sanz, Interpolating between low and high energy QCD via a 5D Yang-Mills model, JHEP 12 (2005) 030 [hep-ph/0507049] [INSPIRE].
J. Hirn, N. Rius and V. Sanz, Geometric approach to condensates in holographic QCD, Phys. Rev. D 73 (2006) 085005 [hep-ph/0512240] [INSPIRE].
C. Csáki, C. Grojean, L. Pilo and J. Terning, Towards a realistic model of Higgsless electroweak symmetry breaking, Phys. Rev. Lett. 92 (2004) 101802 [hep-ph/0308038] [INSPIRE].
G. Cacciapaglia, C. Csáki, C. Grojean and J. Terning, Oblique corrections from Higgsless models in warped space, Phys. Rev. D 70 (2004) 075014 [hep-ph/0401160] [INSPIRE].
J. Hirn and V. Sanz, A negative S parameter from holographic technicolor, Phys. Rev. Lett. 97 (2006) 121803 [hep-ph/0606086] [INSPIRE].
J. Hirn and V. Sanz, The fifth dimension as an analogue computer for strong interactions at the LHC, JHEP 03 (2007) 100 [hep-ph/0612239] [INSPIRE].
K. Agashe, R. Contino and A. Pomarol, The minimal Composite Higgs model, Nucl. Phys. B 719 (2005) 165 [hep-ph/0412089] [INSPIRE].
R. Contino, The Higgs as a Composite Nambu-Goldstone boson, arXiv:1005.4269 [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].
L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
N. Arkani-Hamed and M. Schmaltz, Hierarchies without symmetries from extra dimensions, Phys. Rev. D 61 (2000) 033005 [hep-ph/9903417] [INSPIRE].
S.J. Huber and Q. Shafi, Fermion masses, mixings and proton decay in a Randall-Sundrum model, Phys. Lett. B 498 (2001) 256 [hep-ph/0010195] [INSPIRE].
S.J. Huber and Q. Shafi, Higgs mechanism and bulk gauge boson masses in the Randall-Sundrum model, Phys. Rev. D 63 (2001) 045010 [hep-ph/0005286] [INSPIRE].
B.M. Dillon and S.J. Huber, Non-custodial warped extra dimensions at the LHC?, JHEP 06 (2015) 066 [arXiv:1410.7345] [INSPIRE].
J.A. Cabrer, G. von Gersdorff and M. Quirós, Suppressing electroweak precision observables in 5D warped models, JHEP 05 (2011) 083 [arXiv:1103.1388] [INSPIRE].
P.R. Archer and S.J. Huber, Electroweak constraints on warped geometry in five dimensions and beyond, JHEP 10 (2010) 032 [arXiv:1004.1159] [INSPIRE].
A. Carmona and F. Goertz, A naturally light Higgs without light top partners, JHEP 05 (2015) 002 [arXiv:1410.8555] [INSPIRE].
K. Agashe, A. Delgado, M.J. May and R. Sundrum, RS1, custodial isospin and precision tests, JHEP 08 (2003) 050 [hep-ph/0308036] [INSPIRE].
M. Carena, E. Ponton, J. Santiago and C.E.M. Wagner, Electroweak constraints on warped models with custodial symmetry, Phys. Rev. D 76 (2007) 035006 [hep-ph/0701055] [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].
P.R. Archer, Fine tuning in the holographic minimal Composite Higgs model, arXiv:1403.8048 [INSPIRE].
K. Agashe and R. Contino, The minimal Composite Higgs model and electroweak precision tests, Nucl. Phys. B 742 (2006) 59 [hep-ph/0510164] [INSPIRE].
G. Panico and A. Wulzer, The Composite Nambu-Goldstone Higgs, Lect. Notes Phys. 913 (2016) 1 [arXiv:1506.01961] [INSPIRE].
G. von Gersdorff, E. Pontón and R. Rosenfeld, The dynamical Composite Higgs, JHEP 06 (2015) 119 [arXiv:1502.07340] [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].
H.-C. Cheng, B.A. Dobrescu and J. Gu, Higgs mass from compositeness at a multi-TeV scale, JHEP 08 (2014) 095 [arXiv:1311.5928] [INSPIRE].
J. Barnard, T. Gherghetta, T.S. Ray and A. Spray, The unnatural Composite Higgs, JHEP 01 (2015) 067 [arXiv:1409.7391] [INSPIRE].
H.-C. Cheng and J. Gu, Top seesaw with a custodial symmetry and the 126 GeV Higgs, JHEP 10 (2014) 002 [arXiv:1406.6689] [INSPIRE].
G. Ferretti, UV completions of partial compositeness: the case for a SU(4) gauge group, JHEP 06 (2014) 142 [arXiv:1404.7137] [INSPIRE].
S. De Curtis, M. Redi and E. Vigiani, Non minimal terms in Composite Higgs models and in QCD, JHEP 06 (2014) 071 [arXiv:1403.3116] [INSPIRE].
A. Carmona and M. Chala, Composite dark sectors, JHEP 06 (2015) 105 [arXiv:1504.00332] [INSPIRE].
CMS collaboration, Search for vector-like charge 2/3T quarks in proton-proton collisions at \( \sqrt{s}=8 \) TeV, Phys. Rev. D 93 (2016) 012003 [arXiv:1509.04177] [INSPIRE].
ATLAS collaboration, Search for production of vector-like quark pairs and of four top quarks in the lepton-plus-jets final state in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 08 (2015) 105 [arXiv:1505.04306] [INSPIRE].
A. De Simone, O. Matsedonskyi, R. Rattazzi and A. Wulzer, A first top partner hunter’s guide, JHEP 04 (2013) 004 [arXiv:1211.5663] [INSPIRE].
M. Backovic, T. Flacke, J.H. Kim and S.J. Lee, Search strategies for TeV scale fermionic top partners with charge 2/3, JHEP 04 (2016) 014 [arXiv:1507.06568] [INSPIRE].
A. Buckley et al., Global fit of top quark effective theory to data, Phys. Rev. D 92 (2015) 091501 [arXiv:1506.08845] [INSPIRE].
J. Serra, Beyond the minimal top partner decay, JHEP 09 (2015) 176 [arXiv:1506.05110] [INSPIRE].
S. Dawson and E. Furlan, Yukawa corrections to Higgs production in top partner models, Phys. Rev. D 89 (2014) 015012 [arXiv:1310.7593] [INSPIRE].
C. Grojean, O. Matsedonskyi and G. Panico, Light top partners and precision physics, JHEP 10 (2013) 160 [arXiv:1306.4655] [INSPIRE].
M. Backović, T. Flacke, J.H. Kim and S.J. Lee, Boosted event topologies from TeV scale light quark composite partners, JHEP 04 (2015) 082 [arXiv:1410.8131] [INSPIRE].
E. Drueke, J. Nutter, R. Schwienhorst, N. Vignaroli, D.G.E. Walker and J.-H. Yu, Single top production as a probe of heavy resonances, Phys. Rev. D 91 (2015) 054020 [arXiv:1409.7607] [INSPIRE].
J. Reuter and M. Tonini, Top partner discovery in the T → tZ channel at the LHC, JHEP 01 (2015) 088 [arXiv:1409.6962] [INSPIRE].
O. Matsedonskyi, G. Panico and A. Wulzer, On the interpretation of top partners searches, JHEP 12 (2014) 097 [arXiv:1409.0100] [INSPIRE].
B. Gripaios, T. Müller, M.A. Parker and D. Sutherland, Search strategies for top partners in Composite Higgs models, JHEP 08 (2014) 171 [arXiv:1406.5957] [INSPIRE].
C.-Y. Chen, S. Dawson and I.M. Lewis, Top partners and Higgs boson production, Phys. Rev. D 90 (2014) 035016 [arXiv:1406.3349] [INSPIRE].
A. Banfi, A. Martin and V. Sanz, Probing top-partners in Higgs+jets, JHEP 08 (2014) 053 [arXiv:1308.4771] [INSPIRE].
M. Carena, L. Da Rold and E. Pontón, Minimal Composite Higgs models at the LHC, JHEP 06 (2014) 159 [arXiv:1402.2987] [INSPIRE].
C. Niehoff, P. Stangl and D.M. Straub, Direct and indirect signals of natural Composite Higgs models, JHEP 01 (2016) 119 [arXiv:1508.00569] [INSPIRE].
J. Barnard and M. White, Collider constraints on tuning in Composite Higgs models, JHEP 10 (2015) 072 [arXiv:1507.02332] [INSPIRE].
G. Cacciapaglia, H. Cai, A. Deandrea, T. Flacke, S.J. Lee and A. Parolini, Composite scalars at the LHC: the Higgs, the sextet and the octet, JHEP 11 (2015) 201 [arXiv:1507.02283] [INSPIRE].
A. Thamm, R. Torre and A. Wulzer, Future tests of Higgs compositeness: direct vs indirect, JHEP 07 (2015) 100 [arXiv:1502.01701] [INSPIRE].
S. Kanemura, K. Kaneta, N. Machida and T. Shindou, New resonance scale and fingerprint identification in minimal Composite Higgs models, Phys. Rev. D 91 (2015) 115016 [arXiv:1410.8413] [INSPIRE].
N. Vignaroli, New W ′ signals at the LHC, Phys. Rev. D 89 (2014) 095027 [arXiv:1404.5558] [INSPIRE].
M. Redi, V. Sanz, M. de Vries and A. Weiler, Strong signatures of right-handed compositeness, JHEP 08 (2013) 008 [arXiv:1305.3818] [INSPIRE].
K. Agashe, A. Azatov, T. Han, Y. Li, Z.-G. Si and L. Zhu, LHC signals for coset electroweak gauge bosons in warped/Composite PGB Higgs models, Phys. Rev. D 81 (2010) 096002 [arXiv:0911.0059] [INSPIRE].
A. Carmona, M. Chala and J. Santiago, New Higgs production mechanism in Composite Higgs models, JHEP 07 (2012) 049 [arXiv:1205.2378] [INSPIRE].
M. Redi and A. Tesi, Implications of a light Higgs in composite models, JHEP 10 (2012) 166 [arXiv:1205.0232] [INSPIRE].
R. Contino, D. Marzocca, D. Pappadopulo and R. Rattazzi, On the effect of resonances in Composite Higgs phenomenology, JHEP 10 (2011) 081 [arXiv:1109.1570] [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].
D. Pappadopulo, A. Thamm and R. Torre, A minimally tuned Composite Higgs model from an extra dimension, JHEP 07 (2013) 058 [arXiv:1303.3062] [INSPIRE].
V. Sanz and J. Setford, Composite Higgses with seesaw EWSB, JHEP 12 (2015) 154 [arXiv:1508.06133] [INSPIRE].
M. Bauer, S. Casagrande, L. Grunder, U. Haisch and M. Neubert, Little Randall-Sundrum models: ϵ K strikes again, Phys. Rev. D 79 (2009) 076001 [arXiv:0811.3678] [INSPIRE].
H. Davoudiasl, G. Perez and A. Soni, The little Randall-Sundrum model at the Large Hadron Collider, Phys. Lett. B 665 (2008) 67 [arXiv:0802.0203] [INSPIRE].
ATLAS collaboration, Search for resonances decaying to photon pairs in 3.2 fb−1 of pp collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, ATLAS-CONF-2015-081, CERN, Geneva Switzerland (2015).
CMS collaboration, Search for new physics in high mass diphoton events in proton-proton collisions at \( \sqrt{s}=13 \) TeV, CMS-PAS-EXO-15-004, CERN, Geneva Switzerland (2015).
H. Davoudiasl and C. Zhang, 750 GeV messenger of dark conformal symmetry breaking, Phys. Rev. D 93 (2016) 055006 [arXiv:1512.07672] [INSPIRE].
B.M. Dillon and V. Sanz, A little KK graviton at 750 GeV, arXiv:1603.09550 [INSPIRE].
A. Falkowski and J.F. Kamenik, Diphoton portal to warped gravity, Phys. Rev. D 94 (2016) 015008 [arXiv:1603.06980] [INSPIRE].
B.M. Dillon, D.P. George and K.L. McDonald, Regarding the radion in Randall-Sundrum models with brane curvature, arXiv:1605.03087 [INSPIRE].
J. Hirn and V. Sanz, (Not) summing over Kaluza-Kleins, Phys. Rev. D 76 (2007) 044022 [hep-ph/0702005] [INSPIRE].
L. Randall, V. Sanz and M.D. Schwartz, Entropy area relations in field theory, JHEP 06 (2002) 008 [hep-th/0204038] [INSPIRE].
J. Hirn, A. Martin and V. Sanz, Benchmarks for new strong interactions at the LHC, JHEP 05 (2008) 084 [arXiv:0712.3783] [INSPIRE].
ATLAS collaboration, Measurements of the Higgs boson production and decay rates and coupling strengths using pp collision data at \( \sqrt{s}=7 \) and 8 TeV in the ATLAS experiment, Eur. Phys. J. C 76 (2016) 6 [arXiv:1507.04548] [INSPIRE].
ATLAS collaboration, Constraints on new phenomena via Higgs boson couplings and invisible decays with the ATLAS detector, JHEP 11 (2015) 206 [arXiv:1509.00672] [INSPIRE].
A. Azatov and A. Paul, Probing Higgs couplings with high p T Higgs production, JHEP 01 (2014) 014 [arXiv:1309.5273] [INSPIRE].
C. Grojean, E. Salvioni, M. Schlaffer and A. Weiler, Very boosted Higgs in gluon fusion, JHEP 05 (2014) 022 [arXiv:1312.3317] [INSPIRE].
A. Banfi, B.M. Dillon and V. Sanz, in preparation.
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: 1510.08482v2
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
Croon, D., Dillon, B.M., Huber, S.J. et al. Exploring holographic Composite Higgs models. J. High Energ. Phys. 2016, 72 (2016). https://doi.org/10.1007/JHEP07(2016)072
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2016)072