Abstract
Anomalously light fermionic partners of the top quark often appear in explicit constructions, such as the 5d holographic models, where the Higgs is a light composite pseudo Nambu-Goldstone boson and its potential is generated radiatively by top quark loops. We show that this is due to a structural correlation among the mass of the partners and the one of the Higgs boson. Because of this correlation, the presence of light partners could be essential to obtain a realistic Higgs mass.
We quantitatively confirm this generic prediction, which applies to a broad class of composite Higgs models, by studying the simplest calculable framework with a composite Higgs, the Discrete Composite Higgs Model. In this setup we show analytically that the requirement of a light enough Higgs strongly constraints the fermionic spectrum and makes the light partners appear.
The light top partners thus provide the most promising manifestation of the composite Higgs scenario at the LHC. Conversely, the lack of observation of these states can put strong restrictions on the parameter space of the model. A simple analysis of the 7-TeV LHC searches presently available already gives some non-trivial constraint. The strongest bound comes from the exclusion of the 5/3-charged partner. Even if no dedicated LHC search exists for this particle, a bound of 611 GeV is derived by adapting the CMS search of bottom-like states in same-sign dileptons.
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References
ATLAS collaboration, Combined search for the standard model Higgs boson using up to 4.9 fb −1 of pp collision data at \( \sqrt{s}=7 \) TeV with the ATLAS detector at the LHC, Phys. Lett. B 710 (2012) 49 [arXiv:1202.1408] [INSPIRE].
CMS collaboration, Combined results of searches for the standard model Higgs boson in pp collisions at \( \sqrt{s}=7 \) TeV, Phys. Lett. B 710 (2012) 26 [arXiv:1202.1488] [INSPIRE].
S. Dimopoulos and J. Preskill, Massless composites with massive constituents, Nucl. Phys. B 199 (1982)206 [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].
H. Georgi, D.B. Kaplan and P. Galison, Calculation of the composite Higgs mass, Phys. Lett. B 143 (1984) 152 [INSPIRE].
T. Banks, Constraints on SU(2) × U(1) breaking by vacuum misalignment, Nucl. Phys. B 243 (1984) 125 [INSPIRE].
H. Georgi and D.B. Kaplan, Composite Higgs and custodial SU(2), Phys. Lett. B 145 (1984) 216 [INSPIRE].
M.J. Dugan, H. Georgi and D.B. Kaplan, Anatomy of a composite Higgs model, Nucl. Phys. B 254 (1985) 299 [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, 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, T. Kramer, M. Son and R. Sundrum, Warped/composite phenomenology simplified, JHEP 05 (2007) 074 [hep-ph/0612180] [INSPIRE].
G. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The strongly-interacting light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164] [INSPIRE].
G. Panico and A. Wulzer, The discrete composite Higgs model, JHEP 09 (2011) 135 [arXiv:1106.2719] [INSPIRE].
R. Barbieri, B. Bellazzini, V.S. Rychkov and A. Varagnolo, The Higgs boson from an extended symmetry, Phys. Rev. D 76 (2007) 115008 [arXiv:0706.0432] [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].
Y. Hosotani and M. Mabe, Higgs boson mass and electroweak-gravity hierarchy from dynamical gauge-Higgs unification in the warped spacetime, Phys. Lett. B 615 (2005) 257 [hep-ph/0503020] [INSPIRE].
Y. Hosotani, S. Noda, Y. Sakamura and S. Shimasaki, Gauge-Higgs unification and quark-lepton phenomenology in the warped spacetime, Phys. Rev. D 73 (2006) 096006 [hep-ph/0601241] [INSPIRE].
M.S. Carena, E. Ponton, J. Santiago and C.E. Wagner, Light Kaluza Klein states in Randall-Sundrum models with custodial SU(2), Nucl. Phys. B 759 (2006) 202 [hep-ph/0607106] [INSPIRE].
M.S. Carena, E. Ponton, J. Santiago and C. Wagner, Electroweak constraints on warped models with custodial symmetry, Phys. Rev. D 76 (2007) 035006 [hep-ph/0701055] [INSPIRE].
A.D. Medina, N.R. Shah and C.E.M. Wagner, Gauge-Higgs unification and radiative electroweak symmetry breaking in warped extra dimensions, Phys. Rev. D 76 (2007) 095010 [arXiv:0706.1281] [INSPIRE].
L.J. Hall, Y. Nomura and D. Tucker-Smith, Gauge Higgs unification in higher dimensions, Nucl. Phys. B 639 (2002) 307 [hep-ph/0107331] [INSPIRE].
M. Kubo, C. Lim and H. Yamashita, The Hosotani mechanism in bulk gauge theories with an orbifold extra space S 1/Z 2, Mod. Phys. Lett. A 17 (2002) 2249 [hep-ph/0111327] [INSPIRE].
G. Burdman and Y. Nomura, Unification of Higgs and gauge fields in five-dimensions, Nucl. Phys. B 656 (2003) 3 [hep-ph/0210257] [INSPIRE].
N. Haba, M. Harada, Y. Hosotani and Y. Kawamura, Dynamical rearrangement of gauge symmetry on the orbifold S 1/Z 2, Nucl. Phys. B 657 (2003) 169 [Erratum ibid. B 669 (2003) 381-382] [hep-ph/0212035] [INSPIRE].
I. Gogoladze, Y. Mimura and S. Nandi, Gauge Higgs unification on the left right model, Phys. Lett. B 560 (2003) 204 [hep-ph/0301014] [INSPIRE].
I. Gogoladze, Y. Mimura and S. Nandi, Model building with gauge-Yukawa unification, Phys. Rev. D 69 (2004) 075006 [hep-ph/0311127] [INSPIRE].
C.A. Scrucca, M. Serone and L. Silvestrini, Electroweak symmetry breaking and fermion masses from extra dimensions, Nucl. Phys. B 669 (2003) 128 [hep-ph/0304220] [INSPIRE].
G. Cacciapaglia, C. Csáki and S.C. Park, Fully radiative electroweak symmetry breaking, JHEP 03 (2006) 099 [hep-ph/0510366] [INSPIRE].
G. Panico, M. Serone and A. Wulzer, A model of electroweak symmetry breaking from a fifth dimension, Nucl. Phys. B 739 (2006) 186 [hep-ph/0510373] [INSPIRE].
M. Sakamoto and K. Takenaga, Large gauge hierarchy in gauge-Higgs unification, Phys. Rev. D 75 (2007) 045015 [hep-th/0609067] [INSPIRE].
C. Lim and N. Maru, Towards a realistic grand gauge-Higgs unification, Phys. Lett. B 653 (2007) 320 [arXiv:0706.1397] [INSPIRE].
G. Panico, M. Safari and M. Serone, Simple and realistic composite Higgs models in flat extra dimensions, JHEP 02 (2011) 103 [arXiv:1012.2875] [INSPIRE].
G. Panico, M. Serone and A. Wulzer, Electroweak symmetry breaking and precision tests with a fifth dimension, Nucl. Phys. B 762 (2007) 189 [hep-ph/0605292] [INSPIRE].
G. Panico, E. Ponton, J. Santiago and M. Serone, Dark Matter and electroweak symmetry breaking in models with warped extra dimensions, Phys. Rev. D 77 (2008) 115012 [arXiv:0801.1645] [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 and G. Servant, Discovering the top partners at the LHC using same-sign dilepton final states, JHEP 06 (2008) 026 [arXiv:0801.1679] [INSPIRE].
J. Aguilar-Saavedra, Identifying top partners at LHC, JHEP 11 (2009) 030 [arXiv:0907.3155] [INSPIRE].
J. Mrazek and A. Wulzer, A strong sector at the LHC: top partners in same-sign dileptons, Phys. Rev. D 81 (2010) 075006 [arXiv:0909.3977] [INSPIRE].
G. Dissertori, E. Furlan, F. Moortgat and P. Nef, Discovery potential of top-partners in a realistic composite Higgs model with early LHC data, JHEP 09 (2010) 019 [arXiv:1005.4414] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions, Phys. Rev. Lett. 86 (2001) 4757 [hep-th/0104005] [INSPIRE].
C.T. Hill, S. Pokorski and J. Wang, Gauge invariant effective Lagrangian for Kaluza-Klein modes, Phys. Rev. D 64 (2001) 105005 [hep-th/0104035] [INSPIRE].
S. De Curtis, M. Redi and A. Tesi, The 4D composite Higgs, JHEP 04 (2012) 042 [arXiv:1110.1613] [INSPIRE].
H.-C. Cheng, J. Thaler and L.-T. Wang, Little M-theory, JHEP 09 (2006) 003 [hep-ph/0607205] [INSPIRE].
R. Foadi, J.T. Laverty, C.R. Schmidt and J.-H. Yu, Radiative electroweak symmetry breaking in a little Higgs model, JHEP 06 (2010) 026 [arXiv:1001.0584] [INSPIRE].
M. Baumgart, The advantages of four dimensions for composite Higgs models, arXiv:0706.1380 [INSPIRE].
CMS collaboration, Search for heavy bottom-like quarks in 4.9 inverse femtobarns of pp collisions at \( \sqrt{s}=7 \) TeV, JHEP 05 (2012) 123 [arXiv:1204.1088] [INSPIRE].
J. Alwall, M. Herquet, F. Maltoni, O. Mattelaer and T. Stelzer, MadGraph 5: going beyond, JHEP 06 (2011) 128 [arXiv:1106.0522] [INSPIRE].
J. Galloway, J.A. Evans, M.A. Luty and R.A. Tacchi, Minimal conformal technicolor and precision electroweak tests, JHEP 10 (2010) 086 [arXiv:1001.1361] [INSPIRE].
S.R. Coleman, J. Wess and B. Zumino, Structure of phenomenological lagrangians. 1, Phys. Rev. 177 (1969) 2239 [INSPIRE].
C.G. Callan Jr., S.R. Coleman, J. Wess and B. Zumino, Structure of phenomenological lagrangians. 2, Phys. Rev. 177 (1969) 2247 [INSPIRE].
J. Mrazek et al., The other natural two Higgs doublet model, Nucl. Phys. B 853 (2011) 1 [arXiv:1105.5403] [INSPIRE].
G. Panico and A. Wulzer, Effective action and holography in 5D gauge theories, JHEP 05 (2007) 060 [hep-th/0703287] [INSPIRE].
J. Espinosa, C. Grojean and M. Muhlleitner, Composite Higgs search at the LHC, JHEP 05 (2010) 065 [arXiv:1003.3251] [INSPIRE].
J. Espinosa, C. Grojean and M. Muhlleitner, Composite Higgs under LHC experimental scrutiny, EPJ Web Conf. 28 (2012) 08004 [arXiv:1202.1286] [INSPIRE].
A. Azatov, R. Contino and J. Galloway, Model-independent bounds on a light Higgs, JHEP 04 (2012) 127 [arXiv:1202.3415] [INSPIRE].
CDF collaboration, T. Aaltonen et al., Search for new bottomlike quark pair decays \( Q\overline{Q}\to \left( {t{W^{\pm }}} \right)\left( {\overline{t}{W^{\pm }}} \right) \) in same-charge dilepton events, Phys. Rev. Lett. 104 (2010) 091801 [arXiv:0912.1057] [INSPIRE].
ATLAS collaboration, Search for same-sign top-quark production and fourth-generation down-type quarks in pp collisions at \( \sqrt{s}=7 \) TeV with the ATLAS detector, JHEP 04 (2012) 069 [arXiv:1202.5520] [INSPIRE].
ATLAS collaboration, Search for down-type fourth generation quarks with the ATLAS detector in events with one lepton and hadronically decaying W bosons, Phys. Rev. Lett. 109 (2012) 032001 [arXiv:1202.6540] [INSPIRE].
CMS collaboration, Search for a vector-like quark with charge 2/3 in t + Z events from pp collisions at \( \sqrt{s}=7 \) TeV, Phys. Rev. Lett. 107 (2011) 271802 [arXiv:1109.4985] [INSPIRE].
CMS collaboration, Search for t ′ pair production in lepton+jets channel, CMS-PAS-EXO-11-099 (2011).
CMS collaboration, Search for a heavy top-like quark in the dilepton final state in pp collisions at 7 TeV, CMS-PAS-EXO-11-050 (2011).
ATLAS collaboration, Search for pair production of a heavy up-type quark decaying to a W boson and a b quark in the lepton+jets channel with the ATLAS detector, Phys. Rev. Lett. 108 (2012) 261802 [arXiv:1202.3076] [INSPIRE].
D. Marzocca and M. Serone, The impact of a light Higgs on general composite Higgs models, work in progress.
M. Redi and A. Tesi, Implications of a light Higgs in composite models, work in progress.
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Matsedonskyi, O., Panico, G. & Wulzer, A. Light top partners for a light composite Higgs. J. High Energ. Phys. 2013, 164 (2013). https://doi.org/10.1007/JHEP01(2013)164
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DOI: https://doi.org/10.1007/JHEP01(2013)164