Abstract
Composite Higgs models can trivially satisfy precision-electroweak and flavour constraints by simply having a large spontaneous symmetry breaking scale, f ≳ 10 TeV. This produces a ‘split’ spectrum, where the strong sector resonances have masses greater than 10 TeV and are separated from the pseudo Nambu-Goldstone bosons, which remain near the electroweak scale. Even though a tuning of order 10−4 is required to obtain the observed Higgs boson mass, the big hierarchy problem remains mostly solved. Intriguingly, models with a fully-composite right-handed top quark also exhibit improved gauge coupling unification. By restricting ourselves to models which preserve these features we find that the symmetry breaking scale cannot be arbitrarily raised, leading to an upper bound f ≲ 100-1000 TeV. This implies that the resonances may be accessible at future colliders, or indirectly via rare-decay experiments. Dark matter is identified with a pseudo Nambu-Goldstone boson, and we show that the smallest coset space containing a stable, scalar singlet and an unbroken SU(5) symmetry is SU(7)/SU(6) × U(1). The colour-triplet pseudo Nambu-Goldstone boson also contained in this coset space is metastable due to a residual symmetry. It can decay via a displaced vertex when produced at colliders, leading to a distinctive signal of unnaturalness.
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References
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].
M.J. Dugan, H. Georgi and D.B. Kaplan, Anatomy of a composite Higgs model, Nucl. Phys. B 254 (1985) 299 [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].
K. Agashe, A. Delgado, M.J. May and R. Sundrum, RS1, custodial isospin and precision tests, JHEP 08 (2003) 050 [hep-ph/0308036] [INSPIRE].
R. Rattazzi and A. Zaffaroni, Comments on the holographic picture of the Randall-Sundrum model, JHEP 04 (2001) 021 [hep-th/0012248] [INSPIRE].
G. Cacciapaglia et al., A GIM mechanism from extra dimensions, JHEP 04 (2008) 006 [arXiv:0709.1714] [INSPIRE].
J. Santiago, Minimal flavor protection: a new flavor paradigm in warped models, JHEP 12 (2008) 046 [arXiv:0806.1230] [INSPIRE].
J.D. Wells, Implications of supersymmetry breaking with a little hierarchy between gauginos and scalars, hep-ph/0306127 [INSPIRE].
N. Arkani-Hamed and S. Dimopoulos, Supersymmetric unification without low energy supersymmetry and signatures for fine-tuning at the LHC, JHEP 06 (2005) 073 [hep-th/0405159] [INSPIRE].
A. Arvanitaki, N. Craig, S. Dimopoulos and G. Villadoro, Mini-split, JHEP 02 (2013) 126 [arXiv:1210.0555] [INSPIRE].
N. Arkani-Hamed, A. Gupta, D.E. Kaplan, N. Weiner and T. Zorawski, Simply unnatural supersymmetry, arXiv:1212.6971 [INSPIRE].
D.B. Kaplan, Flavor at SSC energies: a new mechanism for dynamically generated fermion masses, Nucl. Phys. B 365 (1991) 259 [INSPIRE].
T. Gherghetta and A. Pomarol, Bulk fields and supersymmetry in a slice of AdS, Nucl. Phys. B 586 (2000) 141 [hep-ph/0003129] [INSPIRE].
K. Agashe, R. Contino and R. Sundrum, Top compositeness and precision unification, Phys. Rev. Lett. 95 (2005) 171804 [hep-ph/0502222] [INSPIRE].
K. Agashe and G. Servant, Warped unification, proton stability and dark matter, Phys. Rev. Lett. 93 (2004) 231805 [hep-ph/0403143] [INSPIRE].
K. Agashe and G. Servant, Baryon number in warped GUTs: model building and (dark matter related) phenomenology, JCAP 02 (2005) 002 [hep-ph/0411254] [INSPIRE].
M. Frigerio, A. Pomarol, F. Riva and A. Urbano, Composite scalar dark matter, JHEP 07 (2012) 015 [arXiv:1204.2808] [INSPIRE].
M. Frigerio, J. Serra and A. Varagnolo, Composite GUTs: models and expectations at the LHC, JHEP 06 (2011) 029 [arXiv:1103.2997] [INSPIRE].
L. Vecchi, WIMPs and un-naturalness, arXiv:1312.5695 [INSPIRE].
J. Mrazek et al., The other natural two Higgs doublet model, Nucl. Phys. B 853 (2011) 1 [arXiv:1105.5403] [INSPIRE].
R. Contino, The Higgs as a composite Nambu-Goldstone boson, arXiv:1005.4269 [INSPIRE].
E. Bertuzzo, T.S. Ray, H. de Sandes and C.A. Savoy, On composite two Higgs doublet models, JHEP 05 (2013) 153 [arXiv:1206.2623] [INSPIRE].
B. Bellazzini, C. Csáki and J. Serra, Composite Higgses, Eur. Phys. J. C 74 (2014) 2766 [arXiv:1401.2457] [INSPIRE].
K. Agashe, A.E. Blechman and F. Petriello, Probing the Randall-Sundrum geometric origin of flavor with lepton flavor violation, Phys. Rev. D 74 (2006) 053011 [hep-ph/0606021] [INSPIRE].
B. Keren-Zur et al., On partial compositeness and the CP asymmetry in charm decays, Nucl. Phys. B 867 (2013) 394 [arXiv:1205.5803] [INSPIRE].
K.-W. Choi and I.-W. Kim, One loop gauge couplings in AdS 5, Phys. Rev. D 67 (2003) 045005 [hep-th/0208071] [INSPIRE].
T. Gherghetta, Partly supersymmetric grand unification, Phys. Rev. D 71 (2005) 065001 [hep-ph/0411090] [INSPIRE].
J. Barnard, T. Gherghetta and T.S. Ray, UV descriptions of composite Higgs models without elementary scalars, JHEP 02 (2014) 002 [arXiv:1311.6562] [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].
J.M. Cline, K. Kainulainen, P. Scott and C. Weniger, Update on scalar singlet dark matter, Phys. Rev. D 88 (2013) 055025 [arXiv:1306.4710] [INSPIRE].
XENON100 collaboration, E. Aprile et al., Dark matter results from 225 live days of XENON100 data, Phys. Rev. Lett. 109 (2012) 181301 [arXiv:1207.5988] [INSPIRE].
ATLAS collaboration, Searches for heavy long-lived sleptons and R-hadrons with the ATLAS detector in pp collisions at \( \sqrt{s} \) = 7 TeV, Phys. Lett. B 720 (2013) 277 [arXiv:1211.1597] [INSPIRE].
CMS collaboration, Searches for long-lived charged particles in pp collisions at \( \sqrt{s} \) = 7 and 8 TeV, JHEP 07 (2013) 122 [arXiv:1305.0491] [INSPIRE].
ATLAS collaboration, Search for strong production of supersymmetric particles in final states with missing transverse momentum and at least three b-jets at \( \sqrt{s} \) = 8 TeV proton-proton collisions with the ATLAS detector, JHEP 10 (2014) 024 [arXiv:1407.0600] [INSPIRE].
R. Feger and T.W. Kephart, LieART — a Mathematica application for Lie algebras and representation theory, arXiv:1206.6379 [INSPIRE].
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Barnard, J., Gherghetta, T., Ray, T.S. et al. The unnatural composite Higgs. J. High Energ. Phys. 2015, 67 (2015). https://doi.org/10.1007/JHEP01(2015)067
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DOI: https://doi.org/10.1007/JHEP01(2015)067