Abstract
We present a simple mechanism for generating a Higgs quartic in composite Higgs models without a corresponding quadratic term. This quartic term will originate from a Higgs dependent kinetic mixing between additional fermionic states. The mechanism can be naturally embedded to models with maximal symmetry as well as twin Higgs models. The resulting twin Higgs models will have a fully natural realistic Higgs potential, where the quartic mechanism will serve as the only source for the Z_{2} breaking, while the top and gauge sectors can remain exactly Z_{2} invariant.
Highlights
We present a simple mechanism for generating a Higgs quartic in composite Higgs models without a corresponding quadratic term
Stabilization of the scale of electroweak symmetry breaking (EWSB) is one of the most profound problems in particle physics. One can eliminate this sensitivity to UV scales by introducing new physics not too far above the EWSB scale
In order to generate a potential for the pseudo-Nambu-Goldstone boson (PNGB) Higgs, the global symmetry G has to be explicitly broken
Summary
We present a simple mechanism for generating a Higgs quartic in composite Higgs models without a corresponding quadratic term This quartic term will originate from a Higgs dependent kinetic mixing between additional fermionic states. Models that produce an adjustable Higgs quartic term without introducing a Higgs quadratic provide an elegant solution to the little hierarchy problem. An example of this type are 6D models [14] where a treelevel quartic can originate from the gauge boson components along the extra dimension, or the little Higgs models [4,15] based on dimensional deconstruction of the 6D theory. Models with maximal symmetry can naturally produce a positive and adjustable Higgs
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