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Abstract
We provide a non-linear realisation of composite Higgs models in the context of the SU(4)/Sp(4) symmetry breaking pattern, where the effective Lagrangian of the spin-0 and spin-1 resonances is constructed via the CCWZ prescription using the Hidden Symmetry formalism. We investigate the EWPT constraints by accounting the effects from reduced Higgs couplings and integrating out heavy spin-1 resonances. This theory emerges from an underlying theory of gauge interactions with fermions, thus first principle lattice results predict the massive spectrum in composite Higgs models. This model can be used as a template for the phenomenology of composite Higgs models at the LHC and at future 100 TeV colliders, as well as for other application. In this work, we focus on the formalism for spin-1 resonances and their bounds from di-lepton and di-boson searches at the LHC.
Highlights
Effective Lagrangian approaches have played a major role in various physics applications to model unknown sectors or situations that are difficult to treat
We provide a non-linear realisation of composite Higgs models in the context of the SU (4)/Sp(4) symmetry breaking pattern, where the effective Lagrangian of the spin-0 and spin-1 resonances is constructed via the CCWZ prescription using the Hidden Symmetry formalism
While we focus on the Composite Higgs scenario with the scope of studying the phenomenology of such states at the LHC and at future higher energy colliders, our construction can be applied to other phenomenological uses of this simple theory [41, 46,47,48]
Summary
Effective Lagrangian approaches have played a major role in various physics applications to model unknown sectors or situations that are difficult to treat. They provide a simple and more calculable tool describing a detailed and complex underlying theory This is, for example, the case for the strong interactions of Quantum ChromoDynamics (QCD) that are described, at low energy, by a chiral Lagrangian incorporating the light composite degrees of freedom of the theory. Shortly after the theoretical establishment of the SM, the idea that QCD itself may play the role of a template for a composite origin of the electroweak symmetry breaking has been gaining popularity, leading to rescaled-QCD Technicolour models [3,4,5] In this set up, the longitudinal degrees of freedom of the massive W and Z are accounted for as Goldstone bosons, i.e. pions, of the strong sector.
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