Model-independent Veltman condition, naturalness and the little hierarchy problem
Fayez Abu-Ajamieh (LUPM UMR5299, Université de Montpellier, 34095 Montpellier, France)
We adopt a bottom-up Effective Field Theory (EFT) approach to derive a model-independent Veltman condition to cancel out the quadratic divergences in the Higgs mass. We show using the equivalence theorem that all the deviations in the Higgs couplings to the $ W $ and $ W $ from the SM predictions should vanish. We argue based on tree-level unitarity that any new physics that naturally cancels out the quadratic divergences should be $ W $ TeV. We show that the level of fine-tuning required is $ W $ unless the UV sector has a symmetry that forces the satisfaction of the model-independent Veltman condition, in which case all fine-tuning is eliminated. We also conjecture that, if no new physics that couples to the Higgs is observed up to $ W $ TeV, or if the Higgs couplings to the SM particles conform to the SM predictions, then the Higgs either does not couple to any UV sector or is fine-tuned.