Abstract
We examine distinctive signatures of Quantum Critical Higgs models at the LHC and future higher energy colliders. In these models the Higgs boson is part of a conformal sector that is softly broken at a threshold scale, and generically the scaling dimension of the Higgs is larger than in the Standard Model. In particular we examine the gg → H → ZZ, gg → H → γγ, and gg → Z → H Z channels to see how the cross sections deviate from the Standard Model in the high invariant mass region. In order to perform the calculations we use 5D duals of Quantum Critical Higgs models using the AdS/CFT correspondence, with a soft wall to break the conformal symmetry.
Highlights
Diverges, and the low-energy effective theory is invariant under scale/conformal transformations
We examine distinctive signatures of Quantum Critical Higgs models at the LHC and future higher energy colliders
In these models the Higgs boson is part of a conformal sector that is softly broken at a threshold scale, and generically the scaling dimension of the Higgs is larger than in the Standard Model
Summary
An assumption that we need to make is that the Higgs can be approximated by a generalized free field [27] so that the effective action is weakly coupled when written in terms of these generalized free fields This is familiar from the KK resonances in an RS theory, but in that case the anomalous dimension are required to be small as well. One can require that the a mass term is generated, as a consequence of the conformal breaking, such that mh < μ, so that there are no excessive non-SM contributions to the Higgs width, which we already know is very small. In this case the hierarchy problem is solved. For these reasons we will only consider scaling dimensions in the range 1 < ∆ < 2
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