Abstract
We present a novel class of composite Higgs models in which the top and gauge partners responsible for cutting off the Higgs quadratic divergences form a continuum. The continuum states are characterized by their spectral densities, which should have a finite gap for realistic models. We present a concrete example based on a warped extra dimension with a linear dilaton, where this finite gap appears naturally. We derive the spectral densities in this model and calculate the full Higgs potential for a phenomenologically viable benchmark point, with percent level tuning. The continuum top and gauge partners in this model evade all resonance searches at the LHC and yield qualitatively different collider signals.
Highlights
The simplest example of a spectrum with gapped continuum modes is that obtained from the finite potential well in standard quantum mechanics (QM)
Note the poles on top of the continuum at 11 TeV: these are the result of the IR brane Dirichlet B.C. for the generators of SO(5)/SO(4), and are the only BSM poles that appear in our model
We presented a novel type of composite Higgs model, where all top and gauge partners form continua rather than being ordinary particles
Summary
The simplest example of a spectrum with gapped continuum modes is that obtained from the finite potential well in standard quantum mechanics (QM). Inspired by the AdS/CFT correspondence [27] and holographic realizations of CH models [3, 28], our gapped continuum arises from a warped 5D geometry [29] with a linear dilaton [30,31,32]. The resulting Green’s functions have a branch cut starting at a finite gap μ corresponding to the slope of the linear dilaton, indicating the emergence of a continuum Based on this linear dilaton geometry, we construct a fully realistic CH model with partial compositeness [33,34,35,36,37] and gauge-Higgs unification [38,39,40,41,42,43]. The role of the Higgs is played as usual by the A5 of the SO(5)/SO(4) generators, while the SM Yukawa couplings originate from the jump conditions for the bulk fields on the IR brane
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