Abstract
We introduce a general parametrisation for theories where the Higgs is a Goldstone boson that encompasses all existing models. Our construction deviates from extra-dimensional or deconstructed theories through the inclusion of “non-local” interactions in theory space. These terms are necessary to reproduce the most general 4D effective lagrangian compatible with the symmetries. After showing the relation of our formalism to the Callan-Coleman-Wess-Zumino effective lagrangian we apply our framework to SO(5)/SO(4) composite Higgs models studying the implications for the Higgs potential, coupling of resonances and S-parameter. We also outline the relevance of non-minimal terms in effective descriptions of QCD, studying the electro-magnetic splitting of pions and the correlation between L 9 and L 10 in the chiral lagrangian.
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References
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].
K. Agashe, R. Contino and A. Pomarol, The minimal composite Higgs model, Nucl. Phys. B 719 (2005) 165 [hep-ph/0412089] [INSPIRE].
M.J. Dugan, H. Georgi and D.B. Kaplan, Anatomy of a Composite Higgs Model, Nucl. Phys. B 254 (1985) 299 [INSPIRE].
S. De Curtis, M. Redi and A. Tesi, The 4D Composite Higgs, JHEP 04 (2012) 042 [arXiv:1110.1613] [INSPIRE].
G. Panico and A. Wulzer, The Discrete Composite Higgs Model, JHEP 09 (2011) 135 [arXiv:1106.2719] [INSPIRE].
O. Matsedonskyi, G. Panico and A. Wulzer, Light Top Partners for a Light Composite Higgs, JHEP 01 (2013) 164 [arXiv:1204.6333] [INSPIRE].
M. Redi and A. Tesi, Implications of a Light Higgs in Composite Models, JHEP 10 (2012) 166 [arXiv:1205.0232] [INSPIRE].
M. Serone, On the Cut-off Estimate in Lifshitz Five Dimensional Field Theories, Phys. Rev. D 86 (2012) 046002 [arXiv:1205.6207] [INSPIRE].
M. Piai, A. Pierce and J.G. Wacker, Composite vector mesons from QCD to the little Higgs, hep-ph/0405242 [INSPIRE].
Y. Kahn and J. Thaler, Locality in Theory Space, JHEP 07 (2012) 007 [arXiv:1202.5491] [INSPIRE].
M. Bando, T. Kugo, S. Uehara, K. Yamawaki and T. Yanagida, Is ρ Meson a Dynamical Gauge Boson of Hidden Local Symmetry?, Phys. Rev. Lett. 54 (1985) 1215 [INSPIRE].
A. Azatov, R. Contino, A. Di Iura and J. Galloway, New Prospects for Higgs Compositeness in h → Zγ, Phys. Rev. D 88 (2013) 075019 [arXiv:1308.2676] [INSPIRE].
D. Marzocca, M. Serone and J. Shu, General Composite Higgs Models, JHEP 08 (2012) 013 [arXiv:1205.0770] [INSPIRE].
D.T. Son and M.A. Stephanov, QCD and dimensional deconstruction, Phys. Rev. D 69 (2004) 065020 [hep-ph/0304182] [INSPIRE].
D. Becciolini, M. Redi and A. Wulzer, AdS/QCD: The relevance of the geometry, JHEP 01 (2010) 074 [arXiv:0906.4562] [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 and A. Wulzer, Effective action and holography in 5D gauge theories, JHEP 05 (2007) 060 [hep-th/0703287] [INSPIRE].
A. Pomarol and F. Riva, The Composite Higgs and Light Resonance Connection, JHEP 08 (2012) 135 [arXiv:1205.6434] [INSPIRE].
A. Orgogozo and S. Rychkov, The S parameter for a Light Composite Higgs: a Dispersion Relation Approach, JHEP 06 (2013) 014 [arXiv:1211.5543] [INSPIRE].
C. Grojean, O. Matsedonskyi and G. Panico, Light top partners and precision physics, JHEP 10 (2013) 160 [arXiv:1306.4655] [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].
C. Anastasiou, E. Furlan and J. Santiago, Realistic Composite Higgs Models, Phys. Rev. D 79 (2009) 075003 [arXiv:0901.2117] [INSPIRE].
R. Barbieri, A. Pomarol and R. Rattazzi, Weakly coupled Higgsless theories and precision electroweak tests, Phys. Lett. B 591 (2004) 141 [hep-ph/0310285] [INSPIRE].
S. Fichet and G. von Gersdorff, Anomalous gauge couplings from composite Higgs and warped extra dimensions, JHEP 03 (2014) 102 [arXiv:1311.6815] [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, PoS(HEP2005)355.
H. Georgi, Vector Realization of Chiral Symmetry, Nucl. Phys. B 331 (1990) 311 [INSPIRE].
A. Pich, Effective field theory: Course, hep-ph/9806303 [INSPIRE].
G. Ecker, J. Gasser, H. Leutwyler, A. Pich and E. de Rafael, Chiral Lagrangians for Massive Spin 1 Fields, Phys. Lett. B 223 (1989) 425 [INSPIRE].
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De Curtis, S., Redi, M. & Vigiani, E. Non minimal terms in composite Higgs models and in QCD. J. High Energ. Phys. 2014, 71 (2014). https://doi.org/10.1007/JHEP06(2014)071
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DOI: https://doi.org/10.1007/JHEP06(2014)071