Abstract
We reassess employing the holographic technique to the description of 4D minimal composite Higgs model with $SO(5)\to SO(4)$ global symmetry breaking pattern. The particular 5D bottom-up holographic treatment is inspired by previous work in the context of QCD and it allows to study spin one and spin zero resonances. The resulting spectrum consists of the states transforming under the unbroken $SO(4)$ subgroup and those with quantum numbers in the $SO(5)/SO(4)$ coset. The spin one states are arranged in linear radial trajectories, and the states from the broken subgroup are generally heavier. The spin zero states from the coset space correspond to the four massless Goldstone bosons in 4D. One of them takes the role of the Higgs boson. Restrictions derived from the experimental constraints (Higgs couplings, $S$ parameter, etc.) are then implemented and we conclude that the model is able to accommodate new vector resonances with masses in the range $2$ TeV to $3$ TeV without encountering phenomenological difficulties. The couplings governing the production of these new states in the processes of the SM gauge boson scattering are also estimated. The method can be extended to other breaking patterns.
Highlights
Most of the LHC data gathered so far seems to indicate that the minimal version of the Standard Model (SM) with a doublet of complex scalar fields is compatible with the experimental results
In this study we used the bottom-up holographic approach to have a fresh look at nonperturbative aspects of composite Higgs (CH) models with a global breaking pattern SOð5Þ → SOð4Þ and a gauge group misaligned with the unbroken group
With the purpose of being as close as possible to the characteristics of a confining theory we chose to work in a 5D soft wall (SW) framework inspired by effective models of QCD and consisting of a generalized sigma model coupled to both the composite resonances and the SM gauge bosons
Summary
Most of the LHC data gathered so far seems to indicate that the minimal version of the Standard Model (SM) with a doublet of complex scalar fields is compatible with the experimental results. The Goldstone bosons are introduced explicitly in the scalar 5D Lagrangian, but they appear due to the gauge choice in the fifth component of the broken gauge field The latter entry could be thought of as analogous to the gauge-Higgs construction of HW-like models, while the former is a particular feature of the SW framework. It is not the case that certain boundary conditions lead to the emergence of an SUð2Þ × Uð1Þ subgroup on the UV brane, but rather the gauge bosons are introduced exclusively on the boundary as external sources with the quantum numbers of SUð2Þ × Uð1Þ They do not participate in the strong dynamics (except eventually through mixing of fields with identical quantum numbers) and, are entirely z independent.
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