Abstract
We investigate the spectrum of the SU(2) gauge theory with $N_f$ = 2 flavors of fermions in the fundamental representation, in the continuum, using lattice simulations. This model provides a minimal template which has been used for different strongly coupled extensions of the Standard Model ranging from composite (Goldstone) Higgs models to intriguing types of dark matter candidates, such as the SIMPs. Here we will focus on the composite Goldstone Higgs paradigm, for which this model provides a minimal UV complete realization in terms of a new strong sector with fermionic matter. After introducing the relevant Lattice methods used in our simulations, we will discuss our numerical results. We show that this model features a SU(4)/Sp(4) $\sim$ SO(6)/SO(5) flavor symmetry breaking pattern, and estimate the value of its chiral condensate. Finally, we present our results for the mass spectrum of the lightest spin one and zero resonances, analogue to the QCD $\rho$, $a_1$, $\sigma$, $\eta'$, $a_0$ resonances, which are relevant for searches of new, exotic resonances at the LHC.
Highlights
New composite dynamics is often invoked to construct extensions of the Standard Model (SM) physics that can address one or several of the SM shortcomings: for example, composite extensions have been suggested to replace the SM Higgs sector, or to suggest natural dark matter (DM) candidates
2 A minimal composite Higgs model In Nambu-Goldstone composite Higgs models [3, 4, 42,43,44,45] the Higgs particle is identified with a Nambu-Goldstone boson of a spontaneously broken global flavor symmetry of a new strongly interacting sector
We analyzed the SU(2) gauge theory with N f = 2 fermions in the fundamental representation using lattice techniques. This model has been used as a minimal template for a UV complete pNGB composite Higgs model, compatible with current experimental limits
Summary
In composite Goldstone Higgs models [3, 4], the new sector has an underlying fundamental dynamics with global flavor symmetry group larger than the one strictly needed to break the EW symmetry. In this case the Higgs state can be identified with one of the additional Goldstone Bosons (GB), and it is naturally light. For the present theory an extension that makes use of chiral gauge theories [16, 17] has been put forward recently in [18], while adding TC-scalars fermions one can nontrivially give mass to all standard model fermions [19]. The scattering properties of the Goldstone bosons of the theory have been considered [39], and the model has been investigated in the context of possible DM candidates related to the EW scale in [40, 41]
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