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.
Highlights
Quantitative predictions one often needs to make extra dynamical assumptions on the size of various operators
We show that the most general effective lagrangian compatible with the symmetries is obtained by adding terms “non-local” in theory space to the lagrangian of ref
In this paper we have presented a new parametrisation of composite resonances in theories with spontaneously broken global symmetries
Summary
We start by briefly reviewing the construction of ref. [5] to add resonances in a theory with a global symmetry G spontaneously broken to a subgroup H. We start by briefly reviewing the construction of ref. [5] to add resonances in a theory with a global symmetry G spontaneously broken to a subgroup H. For simplicity we focus on the cosets SO(N )/SO(N − 1), relevant for composite Higgs models and low energy QCD but our construction can be extended to general G/H as in [5]. Is the GB matrix of the broken generators. The two derivative effective lagrangian for the GBs is just the kinetic term.
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