English

Positivity and the Electroweak Hierarchy

High Energy Physics - Phenomenology 2023-08-14 v1 High Energy Physics - Theory

Abstract

We point out that an unnatural hierarchy between certain higher-dimensional operator coefficients in a low-energy Effective Field Theory (EFT) would automatically imply that the Higgs' vacuum expectation value is hierarchically smaller than the EFT cut-off, assuming the EFT emerged from a unitary, causal and local UV completion. Future colliders may have the sensitivity to infer such a pattern of coefficients for a little hierarchy with an EFT cut-off up to O(10)\mathcal{O}(10) TeV.

Keywords

Cite

@article{arxiv.2308.06226,
  title  = {Positivity and the Electroweak Hierarchy},
  author = {Joe Davighi and Scott Melville and Ken Mimasu and Tevong You},
  journal= {arXiv preprint arXiv:2308.06226},
  year   = {2023}
}

Comments

9 pages, 3 figures

R2 v1 2026-06-28T11:53:49.205Z