The Standard Model action is invariant under goofy transformations when the Higgs mass term vanishes, offering a new symmetry-based protection of the Higgs mass and generating electroweak symmetry breaking through spontaneous goofy symmetry breaking.
Third-generation-philic Hidden Naturalness
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abstract
We present a solution to the electroweak hierarchy problem, where the relevant new particles are third-generation-philic and hidden in SM processes with third-generation fermions. Due to this feature, the mass bounds from direct searches are much weaker and the required fine-tuning can be reduced drastically. A concrete model is constructed based on a $SU(6)/Sp(6)$ fundamental composite Higgs model with collective symmetry breaking and extended hypercolor mechanism. The construction allows to raise the scale $f$ to $\sim 3\,$TeV, corresponding to resonances at $M_\rho \gtrsim 10$ TeV, without much tuning - employing ingredients that are naturally inherent in the (composite) Goldstone-Higgs framework. The experimental signatures are discussed in detail. It is found that current bounds allow for a model with negligible tuning.
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The goofy-symmetric Standard Model and the Hierarchy Problem
The Standard Model action is invariant under goofy transformations when the Higgs mass term vanishes, offering a new symmetry-based protection of the Higgs mass and generating electroweak symmetry breaking through spontaneous goofy symmetry breaking.