# The Hierarchy Problem and the Cosmological Constant Problem Revisited -- A new view on the SM of particle physics

## TL;DR

This paper proposes a new perspective on the hierarchy and cosmological constant problems, suggesting the Standard Model naturally emerges at low energies from a Planck-scale cutoff, resolving these issues without new physics.

## Contribution

It offers a novel view that the hierarchy and cosmological constant problems are resolved within the Standard Model framework by considering it as an effective theory emerging from Planck-scale physics.

## Key findings

- The Higgs vacuum stability extends up to the Planck scale.
- The Higgs mass and vacuum energy shifts have zeros near $7.7 imes 10^{14}$ GeV and $3.1 imes 10^{15}$ GeV.
- SM inflation driven by cutoff-enhanced Higgs and cosmological constant terms.

## Abstract

We argue that the Standard Model (SM) in the Higgs phase does not suffer from a "hierarchy problem" and that similarly the "cosmological constant problem" resolves itself if we understand the SM as a low energy effective theory emerging from a cutoff-medium at the Planck scale. We actually take serious Veltman's "The Infrared - Ultraviolet Connection" addressing the issue of quadratic divergences and the related huge radiative correction predicted by the SM in the relationship between the bare and the renormalized theory, usually called "the hierarchy problem" and claimed that this has to be cured. We discuss these issues under the condition of a stable Higgs vacuum, which allows to extend the SM up to the Planck cutoff. The bare Higgs boson mass then changes sign below the Planck scale, such that the SM in the early universe is in the symmetric phase. The cutoff enhanced Higgs mass term as well as the quartically enhanced cosmological constant term provide a large positive dark energy which triggers the inflation of the early universe. Reheating follows via the decays of the four unstable heavy Higgs particles, predominantly into top-antitop pairs, which at this stage are still massless. Preheating is suppressed in SM inflation since in the symmetric phase bosonic decay channels are absent at tree level. The coefficients of the shift between bare and renormalized Higgs mass as well as of the shift between bare and renormalized vacuum energy density exhibit close-by zeros at about $7.7 \times 10^{14}$ GeV and $3.1 \times 10^{15}$ GeV, respectively. The zero of of the Higgs mass counter term triggers the electroweak phase transition from the low energy Higgs phase and to the symmetric phase above the transition point. The scenario highly favors to understand the SM and its main properties as a natural structure emerging at long distance.