Abstract
The Higgs boson quartic self-coupling in the Standard Model appears to become zero just below the Planck scale, with interesting implications to the stability fo the Higgs vacuum at high energies. We review the Multiple Point Principle that suggests the quartic self-coupling should vanish exactly at the Planck scale. Although this vanishing is not consistent with the Standard Model, we investigate Higgs sectors extended with additional states to test whether one may satisfy the high scale boundary condition while maintaining the observed Higgs mass. We also test these scenarios to ensure the stability of the vacuum at all energies below the Planck scale and confront them with experimental results from the LHC and Dark Matter experiments.
Highlights
It is widely believed that investigations of the Higgs boson and the resulting breaking of Electroweak Symmetry provide the best opportunity for finding new physics beyond the Standard Model (SM)
We examined the Inert Doublet Model (IDM) parameter space as we did for the TypeII 2HDM, applying the Multiple Point Principle (MPP) conditions at MPl; λ5 (MPl) and requiring valid points to be stable up to the Planck scale and to have a SM Higgs candidate
The measured value of the Higgs boson mass implies that, if the SM is true to high scales, the Higgs quartic coupling and its β-function are intriguingly close to zero at the Planck scale
Summary
It is widely believed that investigations of the Higgs boson and the resulting breaking of Electroweak Symmetry provide the best opportunity for finding new physics beyond the Standard Model (SM) In part, this is because the Higgs boson is the most recently discovered fundamental particle [1], and investigations of its properties are still underway (though so far no significant deviation from the SM has been observed [2,3,4,5]). We will review one proposed high scale possibility, the Multiple Point Principle (MPP) [10] This is not compatible with the SM running, it provides a Higgs mass prediction that is curiously close to the measured value. For recent investigations of alternative high scale boundary conditions at MPl (see for example [11,12,13,14,15,16])
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