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.

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      "value": "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."
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Published on:
01 January 2022
Publisher:
IOP
Published in:
Chinese Physics C , Volume 46 (2022)
Issue 1
Article ID: 013101
DOI:
https://doi.org/10.1088/1674-1137/ac2ffa
arXiv:
2101.06932
Copyrights:
© 2022Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd
Licence:
CC-BY-3.0

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