English

On $S$-Matrix Exclusion of de Sitter and Naturalness

High Energy Physics - Theory 2021-05-19 v1 Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

Abstract

The cosmological constant puzzle, traditionally viewed as a naturalness problem, is evidently nullified by the SS-matrix formulation of quantum gravity/string theory. We point out an implication of this fact for another naturalness puzzle, the Hierarchy Problem between the weak and Planck scales. By eliminating the landscape of de Sitter vacua and eternal inflation, the SS-matrix formulation exhibits an obvious tension with the explanations based on anthropic selection or cosmological relaxation of the Higgs mass. This sharpens the Hierarchy Problem in a profound way. On one hand, it strengthens the case for explanations based on new physics not far from the weak scale. At the same time, it opens up a question, whether instead the hierarchy is imposed by the SS-matrix consistency between the Standard Model and gravity.

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Cite

@article{arxiv.2105.08411,
  title  = {On $S$-Matrix Exclusion of de Sitter and Naturalness},
  author = {Gia Dvali},
  journal= {arXiv preprint arXiv:2105.08411},
  year   = {2021}
}

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3 pages