Abstract
We present our final results for the SU(3) sextet model with the non-improved Wilson fermion discretization. We find evidence for several phases of the lattice model, including a bulk phase with broken chiral symmetry. We study the transition between the bulk and weak coupling phase which corresponds to a significant change in the qualitative behavior of spectral and scale setting observables. In particular the t0 and w0 observables seem to diverge in the chiral limit in the weak coupling phase. We then focus on the study of spectral observables in the chiral limit in the weak coupling phase at infinite volume. We consider the masses and decay constants for the pseudoscalar and vector mesons, the mass of the axial vector meson and the spin-1/2 baryon as a function of the quark mass, while controlling finite volume effects. We then test our data against both the IR conformal and the chirally broken hypotheses. Preprint: CP3-Origins-2017-49 DNRF90
Highlights
The discovery of the Higgs boson, with properties closely resembling the SM elementary Higgs, excludes a large number of BSM models, such as the “Higgsless models”, and the traditional Technicolor theories, based on QCD-like dynamics
The two most interesting realizations of composite Higgs models are Walking Technicolor (WTC) and pNGB Higgs models. In such models the Higgs is regarded as the pseudo Nambu-Goldstone boson of an approximate global symmetry, which explains the little hierarchy between the mass of the Higgs and the other resonances of the strong sector
We stress that finite volume effects have been extensively checked for our data and the results presented here should be understood as the “infinite volume” behavior of the lattice model
Summary
The discovery of the Higgs boson, with properties closely resembling the SM elementary Higgs, excludes a large number of BSM models, such as the “Higgsless models”, and the traditional Technicolor theories, based on QCD-like dynamics. The two most interesting realizations of composite Higgs models are Walking Technicolor (WTC) and pNGB Higgs models In such models the Higgs is regarded as the pseudo Nambu-Goldstone boson (pNGB) of an approximate global symmetry, which explains the little hierarchy between the mass of the Higgs and the other resonances of the strong sector. This extra symmetry is a global flavor symmetry in the case of pNGB Higgs models, or an approximate scale invariance symmetry in the case of Walking Technicolor. Walking Technicolor models are asymptotically free models which can be considered as a small continuous deformation of a conformal field theory in the infrared Such models share several important features, which makes them good candidates for a composite Higgs model. We present our final results for the spectrum obtained by using the Wilson discretization, published in [16] and presented in a partial form at previous Lattice conferences [17, 18]
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