Has Large Hadron Collider shown Higgs conformal invariance

[kodama]

the higgs naturalness problems has several solutions

1- natural susy
2- technicolor
3- extra dimensions
4- conformal invariance

Large Hadron Collider has to date strongly disfavored susy, technicolor, extra dimensions. it is highly unlikely susy is the answer to the higgs hierarchy problem

does this leave conformal invariance as the strongest option for the hierarchy problem?
since 1-3 have been strongly constrained, it seems nature has picked 4 for the higgs.

so the higgs doesn't have a mass term under conformal invariance.
what are the full implications of this?

is technihiggs, with the higgs a composite of 2 technifermions bound by a color like force forming a neutral like pion, still viable?

 

[AndyW]

I would like to provide some clarification and additional information about the solutions proposed for the Higgs naturalness problem.

Firstly, the Higgs naturalness problem refers to the fact that the mass of the Higgs boson is much lighter than what is expected based on the theories of particle physics. This raises the question of why the Higgs boson is so light and requires an explanation.

The proposed solutions listed in the forum post are possible ways to address this problem, but it is important to note that none of them have been definitively proven or ruled out by experimental data.

Natural SUSY (supersymmetry) is a theoretical framework that suggests the existence of additional particles that can cancel out the large quantum corrections to the Higgs mass. However, as mentioned in the forum post, the Large Hadron Collider (LHC) has not found evidence for these particles, making this solution less likely.

Technicolor is another theoretical framework that proposes the existence of new strong interactions between particles. These interactions could also cancel out the quantum corrections to the Higgs mass. However, the LHC has not found evidence for these interactions either.

Extra dimensions, specifically the Randall-Sundrum model, propose that there are additional dimensions of space that can also help explain the lightness of the Higgs boson. However, so far, the LHC has not found evidence for these extra dimensions.

Conformal invariance is a theoretical concept that suggests that the Higgs boson may not have a mass term at all, and its mass is generated through interactions with other particles. This solution is still being explored and has not been ruled out by experimental data.

Regarding the technihiggs model, where the Higgs boson is a composite particle made up of technifermions bound by a color-like force, this is still a viable solution, but it is difficult to test experimentally. More research is needed to fully understand the implications of this model.

In summary, while the LHC has constrained some of the proposed solutions for the Higgs naturalness problem, it is important to continue exploring all possible options and to gather more experimental data before drawing any definitive conclusions.