Abstract
We investigate a recently proposed UV-complete composite Higgs scenario in the light of the first LHC runs. The model is based on a SU(4) gauge group with global flavour symmetry breaking SU(5) → SO(5), giving rise to pseudo Nambu-Goldstone bosons in addition to the Higgs doublet. This includes a real and a complex electroweak triplet with exotic electric charges. Including these, as well as constraints on other exotic states, we show that LHC measurements are not yet sensitive enough to significantly constrain the model’s low energy constants. The Higgs potential is described by two parameters which are on the one hand constrained by the LHC measurement of the Higgs mass and Higgs decay channels and on the other hand can be computed from correlation functions in the UV-complete theory. Hence to exclude the model at least one constant needs to be determined and to validate the Higgs potential both constants need to be reproduced by the UV-theory. Due to its UV-formulation, a certain number of low energy constants can be computed from first principle numerical simulations of the theory formulated on a lattice, which can help in establishing the validity of this model. We assess the potential impact of lattice calculations for phenomenological studies, as a preliminary step towards Monte Carlo simulations.
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References
R. Contino, Y. Nomura and A. Pomarol, Higgs as a holographic pseudoGoldstone 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].
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].
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].
J.R. Espinosa, C. Grojean and M. Muhlleitner, Composite Higgs search at the LHC, JHEP 05 (2010) 065 [arXiv:1003.3251] [INSPIRE].
A. Azatov and J. Galloway, Electroweak symmetry breaking and the Higgs boson: confronting theories at colliders, Int. J. Mod. Phys. A 28 (2013) 1330004 [arXiv:1212.1380] [INSPIRE].
A. Azatov, R. Contino and J. Galloway, Model-independent bounds on a light Higgs, JHEP 04 (2012) 127 [Erratum ibid. 04 (2013) 140] [arXiv:1202.3415] [INSPIRE].
J.R. Espinosa, C. Grojean, M. Muhlleitner and M. Trott, First glimpses at Higgs’ face, JHEP 12 (2012) 045 [arXiv:1207.1717] [INSPIRE].
D. Elander, A.F. Faedo, C. Hoyos, D. Mateos and M. Piai, Multiscale confining dynamics from holographic RG flows, JHEP 05 (2014) 003 [arXiv:1312.7160] [INSPIRE].
G. Ferretti, UV completions of partial compositeness: the case for a SU(4) gauge group, JHEP 06 (2014) 142 [arXiv:1404.7137] [INSPIRE].
G. Ferretti and D. Karateev, Fermionic UV completions of composite Higgs models, JHEP 03 (2014) 077 [arXiv:1312.5330] [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].
L. Vecchi, A dangerous irrelevant UV-completion of the composite Higgs, JHEP 02 (2017) 094 [arXiv:1506.00623] [INSPIRE].
T.A. DeGrand et al., Towards partial compositeness on the lattice: baryons with fermions in multiple representations, PoS(LATTICE 2016)219 [arXiv:1610.06465] [INSPIRE].
T.A. DeGrand et al., Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory, Phys. Rev. D 94 (2016) 054501 [arXiv:1606.02695] [INSPIRE].
L. Del Debbio, C. Englert and R. Zwicky, Phenomenology of a composite Higgs model, PoS(LATTICE 2016)223 [arXiv:1702.05417] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen, E. Katz and A.E. Nelson, The littlest Higgs, JHEP 07 (2002) 034 [hep-ph/0206021] [INSPIRE].
H. Terazawa, K. Akama and Y. Chikashige, Unified model of the Nambu-Jona-Lasinio type for all elementary particle forces, Phys. Rev. D 15 (1977) 480 [INSPIRE].
H. Terazawa, Subquark model of leptons and quarks, Phys. Rev. D 22 (1980) 184 [INSPIRE].
S. Raby, S. Dimopoulos and L. Susskind, Tumbling gauge theories, Nucl. Phys. B 169 (1980) 373 [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, T. Kramer, M. Son and R. Sundrum, Warped/composite phenomenology simplified, JHEP 05 (2007) 074 [hep-ph/0612180] [INSPIRE].
K. Agashe, R. Contino, L. Da Rold and A. Pomarol, A custodial symmetry for \( Zb\overline{b} \), Phys. Lett. B 641 (2006) 62 [hep-ph/0605341] [INSPIRE].
G. Ferretti, Gauge theories of partial compositeness: scenarios for Run-II of the LHC, JHEP 06 (2016) 107 [arXiv:1604.06467] [INSPIRE].
A. Belyaev et al., Di-boson signatures as standard candles for partial compositeness, JHEP 01 (2017) 094 [arXiv:1610.06591] [INSPIRE].
H. Georgi and M. Machacek, Doubly charged Higgs bosons, Nucl. Phys. B 262 (1985) 463 [INSPIRE].
M.S. Chanowitz and M. Golden, Higgs boson triplets with M W = M Z cos θω, Phys. Lett. 165B (1985) 105 [INSPIRE].
J.F. Gunion, R. Vega and J. Wudka, Higgs triplets in the standard model, Phys. Rev. D 42 (1990) 1673 [INSPIRE].
C. Englert, E. Re and M. Spannowsky, Triplet Higgs boson collider phenomenology after the LHC, Phys. Rev. D 87 (2013) 095014 [arXiv:1302.6505] [INSPIRE].
G. Bambhaniya et al., Search for doubly charged Higgs bosons through vector boson fusion at the LHC and beyond, Phys. Rev. D 92 (2015) 015016 [arXiv:1504.03999] [INSPIRE].
H.E. Logan and V. Rentala, All the generalized Georgi-Machacek models, Phys. Rev. D 92 (2015) 075011 [arXiv:1502.01275] [INSPIRE].
C. Degrande et al., Automatic predictions in the Georgi-Machacek model at next-to-leading order accuracy, Phys. Rev. D 93 (2016) 035004 [arXiv:1512.01243] [INSPIRE].
K. Hartling, K. Kumar and H.E. Logan, Indirect constraints on the Georgi-Machacek model and implications for Higgs boson couplings, Phys. Rev. D 91 (2015) 015013 [arXiv:1410.5538] [INSPIRE].
M. Golterman and Y. Shamir, Effective potential in ultraviolet completions for composite Higgs models, arXiv:1707.06033 [INSPIRE].
J.F. Gunion, R. Vega and J. Wudka, Naturalness problems for rho = 1 and other large one loop effects for a standard model Higgs sector containing triplet fields, Phys. Rev. D 43 (1991) 2322 [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].
M. Golterman and Y. Shamir, Top quark induced effective potential in a composite Higgs model, Phys. Rev. D 91 (2015) 094506 [arXiv:1502.00390] [INSPIRE].
G. Ferrera, M. Grazzini and F. Tramontano, Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO, Phys. Rev. Lett. 107 (2011) 152003 [arXiv:1107.1164] [INSPIRE].
R. Foadi, M.T. Frandsen and F. Sannino, 125 GeV Higgs boson from a not so light technicolor scalar, Phys. Rev. D 87 (2013) 095001 [arXiv:1211.1083] [INSPIRE].
E. Witten, Some inequalities among hadron masses, Phys. Rev. Lett. 51 (1983) 2351 [INSPIRE].
T.A. DeGrand et al., Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory, Phys. Rev. D 94 (2016) 054501 [arXiv:1606.02695] [INSPIRE].
S. Weinberg, Precise relations between the spectra of vector and axial vector mesons, Phys. Rev. Lett. 18 (1967) 507 [INSPIRE].
L. Del Debbio, C. Englert and R. Zwicky, in preparation.
H. Pagels and S. Stokar, The pion decay constant, electromagnetic form-factor and quark electromagnetic selfenergy in QCD, Phys. Rev. D 20 (1979) 2947 [INSPIRE].
H.D. Politzer, Effective quark masses in the chiral limit, Nucl. Phys. B 117 (1976) 397 [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].
P. Lodone, Vector-like quarks in a ‘composite’ Higgs model, JHEP 12 (2008) 029 [arXiv:0806.1472] [INSPIRE].
M. Gillioz, A light composite Higgs boson facing electroweak precision tests, Phys. Rev. D 80 (2009) 055003 [arXiv:0806.3450] [INSPIRE].
C. Anastasiou, E. Furlan and J. Santiago, Realistic composite Higgs models, Phys. Rev. D 79 (2009) 075003 [arXiv:0901.2117] [INSPIRE].
M. Gillioz, R. Grober, C. Grojean, M. Muhlleitner and E. Salvioni, Higgs low-energy theorem (and its corrections) in composite models, JHEP 10 (2012) 004 [arXiv:1206.7120] [INSPIRE].
ATLAS collaboration, Search for a heavy top-quark partner in final states with two leptons with the ATLAS detector at the LHC, JHEP 11 (2012) 094 [arXiv:1209.4186] [INSPIRE].
CMS collaboration, Search for electroweak production of a vector-like quark decaying to a top quark and a Higgs boson using boosted topologies in fully hadronic final states, JHEP 04 (2017)136 [arXiv:1612.05336] [INSPIRE].
O. Matsedonskyi, G. Panico and A. Wulzer, Top partners searches and composite Higgs models, JHEP 04 (2016) 003 [arXiv:1512.04356] [INSPIRE].
ATLAS and CMS collaborations, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at \( \sqrt{s}=7 \) and 8 TeV, JHEP 08 (2016) 045 [arXiv:1606.02266] [INSPIRE].
C. Kilic, T. Okui and R. Sundrum, Vectorlike confinement at the LHC, JHEP 02 (2010) 018 [arXiv:0906.0577] [INSPIRE].
C. Kilic and T. Okui, The LHC phenomenology of vectorlike confinement, JHEP 04 (2010) 128 [arXiv:1001.4526] [INSPIRE].
S. Schumann, A. Renaud and D. Zerwas, Hadronically decaying color-adjoint scalars at the LHC, JHEP 09 (2011) 074 [arXiv:1108.2957] [INSPIRE].
F. Hayot and O. Napoly, Detecting a heavy colored object at the FNAL Tevatron, Z. Phys. C 7 (1981) 229 [INSPIRE].
J.R. Ellis, M.K. Gaillard, D.V. Nanopoulos and P. Sikivie, Can one tell technicolor from a hole in the ground?, Nucl. Phys. B 182 (1981) 529 [INSPIRE].
A. Belyaev, R. Rosenfeld and A.R. Zerwekh, Tevatron potential for technicolor search with prompt photons, Phys. Lett. B 462 (1999) 150 [hep-ph/9905468] [INSPIRE].
Y. Bai and A. Martin, Topological pions, Phys. Lett. B 693 (2010) 292 [arXiv:1003.3006] [INSPIRE].
T. Plehn and T.M.P. Tait, Seeking sgluons, J. Phys. G 36 (2009) 075001 [arXiv:0810.3919] [INSPIRE].
S.Y. Choi et al., Color-octet scalars of N = 2 supersymmetry at the LHC, Phys. Lett. B 672 (2009) 246 [arXiv:0812.3586] [INSPIRE].
ATLAS collaboration, Search for pair-produced massive coloured scalars in four-jet final states with the ATLAS detector in proton-proton collisions at \( \sqrt{s}=7 \) TeV, Eur. Phys. J. C 73 (2013) 2263 [arXiv:1210.4826] [INSPIRE].
CMS collaboration, Search for pair-produced resonances decaying to jet pairs in proton-proton collisions at \( \sqrt{s}=8 \) TeV, Phys. Lett. B 747 (2015) 98 [arXiv:1412.7706] [INSPIRE].
ATLAS collaboration, A search for top squarks with R-parity-violating decays to all-hadronic final states with the ATLAS detector in \( \sqrt{s}=8 \) TeV proton-proton collisions, JHEP 06 (2016) 067 [arXiv:1601.07453] [INSPIRE].
CMS collaboration, Search for narrow resonances decaying to dijets in proton-proton collisions at \( \sqrt{s}=13 \) TeV, Phys. Rev. Lett. 116 (2016) 071801 [arXiv:1512.01224] [INSPIRE].
N. Bizot, M. Frigerio, M. Knecht and J.-L. Kneur, Nonperturbative analysis of the spectrum of meson resonances in an ultraviolet-complete composite-Higgs model, Phys. Rev. D 95 (2017) 075006 [arXiv:1610.09293] [INSPIRE].
A.G. Akeroyd and S. Moretti, Enhancement of H → γγ from doubly charged scalars in the Higgs triplet model, Phys. Rev. D 86 (2012) 035015 [arXiv:1206.0535] [INSPIRE].
R. Hamberg, W.L. van Neerven and T. Matsuura, A complete calculation of the order α 2 s correction to the Drell-Yan K factor, Nucl. Phys. B 359 (1991) 343 [Erratum ibid. B 644 (2002) 403] [INSPIRE].
N.D. Christensen and C. Duhr, FeynRules — Feynman rules made easy, Comput. Phys. Commun. 180 (2009) 1614 [arXiv:0806.4194] [INSPIRE].
A. Alloul et al., FeynRules 2.0 — A complete toolbox for tree-level phenomenology, Comput. Phys. Commun. 185 (2014) 2250 [arXiv:1310.1921] [INSPIRE].
A. Alloul, N.D. Christensen, C. Degrande, C. Duhr and B. Fuks, New developments in FeynRules, J. Phys. Conf. Ser. 523 (2014) 01 [arXiv:1309.7806] [INSPIRE].
C. Degrande et al., UFO — The Universal FeynRules Output, Comput. Phys. Commun. 183 (2012) 1201 [arXiv:1108.2040] [INSPIRE].
J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP 07 (2014) 079 [arXiv:1405.0301] [INSPIRE].
ATLAS collaboration, Search for anomalous production of prompt same-sign lepton pairs and pair-produced doubly charged Higgs bosons with \( \sqrt{s}=8 \) TeV pp collisions using the ATLAS detector, JHEP 03 (2015) 041 [arXiv:1412.0237] [INSPIRE].
CMS collaboration, A search for a doubly-charged Higgs boson in pp collisions at \( \sqrt{s}=7 \) TeV, Eur. Phys. J. C 72 (2012) 2189 [arXiv:1207.2666] [INSPIRE].
C. Englert, P. Schichtel and M. Spannowsky, Same-sign W pair production in composite Higgs models, Phys. Rev. D 95 (2017) 055002 [arXiv:1610.07354] [INSPIRE].
ATLAS collaboration, Search for charged Higgs bosons in the H ± → tb decay channel in pp collisions at \( \sqrt{s}=8 \) TeV using the ATLAS detector, JHEP 03 (2016) 127 [arXiv:1512.03704] [INSPIRE].
CMS collaboration, Search for a charged Higgs boson in pp collisions at \( \sqrt{s}=8 \) TeV, JHEP 11 (2015) 018 [arXiv:1508.07774] [INSPIRE].
R. Harlander, M. Krämer and M. Schumacher, Bottom-quark associated Higgs-boson production: reconciling the four- and five-flavour scheme approach, arXiv:1112.3478 [INSPIRE].
ATLAS collaboration, Search for new resonances decaying to a Z boson and a photon in 13.3 fb −1 of pp collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, ATLAS-CONF-2016-044 (2016).
CMS collaboration, Search for diphoton resonances in the mass range from 150 to 850 GeV in pp collisions at \( \sqrt{s}=8 \) TeV, Phys. Lett. B 750 (2015) 494 [arXiv:1506.02301] [INSPIRE].
CMS collaboration, Search for high-mass diphoton resonances in proton-proton collisions at 13 TeV and combination with 8 TeV search, Phys. Lett. B 767 (2017) 147 [arXiv:1609.02507] [INSPIRE].
K. Arnold et al., VBFNLO: a parton level Monte Carlo for processes with electroweak bosons, Comput. Phys. Commun. 180 (2009) 1661 [arXiv:0811.4559] [INSPIRE].
T. Hahn and M. Pérez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions, Comput. Phys. Commun. 118 (1999) 153 [hep-ph/9807565] [INSPIRE].
T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun. 140 (2001) 418 [hep-ph/0012260] [INSPIRE].
S. Dawson, Radiative corrections to Higgs boson production, Nucl. Phys. B 359 (1991) 283 [INSPIRE].
R.P. Kauffman and W. Schaffer, QCD corrections to production of Higgs pseudoscalars, Phys. Rev. D 49 (1994) 551 [hep-ph/9305279] [INSPIRE].
D. Graudenz, M. Spira and P.M. Zerwas, QCD corrections to Higgs boson production at proton proton colliders, Phys. Rev. Lett. 70 (1993) 1372 [INSPIRE].
M. Spira, HIGLU: a program for the calculation of the total Higgs production cross-section at hadron colliders via gluon fusion including QCD corrections, hep-ph/9510347 [INSPIRE].
M. Spira, A. Djouadi, D. Graudenz and P.M. Zerwas, Higgs boson production at the LHC, Nucl. Phys. B 453 (1995) 17 [hep-ph/9504378] [INSPIRE].
ATLAS collaboration, Search for Scalar Diphoton Resonances in the Mass Range 65-600 GeV with the ATLAS detector in pp collision data at \( \sqrt{s}=8 \) TeV, Phys. Rev. Lett. 113 (2014) 171801 [arXiv:1407.6583] [INSPIRE].
CMS collaboration, Search for a Higgs boson decaying into a Z and a photon in pp collisions at \( \sqrt{s}=7 \) and 8 TeV, Phys. Lett. B 726 (2013) 587 [arXiv:1307.5515] [INSPIRE].
ATLAS collaboration, Search for Higgs boson decays to a photon and a Z boson in pp collisions at \( \sqrt{s}=7 \) and 8 TeV with the ATLAS detector, Phys. Lett. B 732 (2014) 8 [arXiv:1402.3051] [INSPIRE].
CMS Collaboration, Search for high-mass resonances in Zγ → e + e − γ/μ + μ − γ final states in proton-proton collisions at \( \sqrt{s}=13 \) TeV, CMS-PAS-EXO-16-034 (2016).
CMS collaboration, Search for a Higgs boson in the mass range from 145 to 1000 GeV decaying to a pair of W or Z bosons, JHEP 10 (2015) 144 [arXiv:1504.00936] [INSPIRE].
ATLAS collaboration, Searches for heavy ZZ and ZW resonances in the llqq and vvqq final states in pp collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, ATLAS-CONF-2016-082 (2016).
ATLAS collaboration, Search for heavy Higgs bosons A/H decaying to a top-quark pair in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, ATLAS-CONF-2016-073 (2016).
S. Bock et al., Measuring hidden Higgs and strongly-interacting Higgs scenarios, Phys. Lett. B 694 (2011) 44 [arXiv:1007.2645] [INSPIRE].
M. Klute, R. Lafaye, T. Plehn, M. Rauch and D. Zerwas, Measuring Higgs couplings at a linear collider, Europhys. Lett. 101 (2013) 51001 [arXiv:1301.1322] [INSPIRE].
C. Englert et al., Precision measurements of Higgs couplings: implications for new physics scales, J. Phys. G 41 (2014) 113001 [arXiv:1403.7191] [INSPIRE].
B.A. Kniehl and M. Spira, Low-energy theorems in Higgs physics, Z. Phys. C 69 (1995) 77 [hep-ph/9505225] [INSPIRE].
G.F. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The strongly-interacting light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164] [INSPIRE].
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Del Debbio, L., Englert, C. & Zwicky, R. A UV complete compositeness scenario: LHC constraints meet the lattice. J. High Energ. Phys. 2017, 142 (2017). https://doi.org/10.1007/JHEP08(2017)142
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DOI: https://doi.org/10.1007/JHEP08(2017)142