The hierarchy problem of the electroweak Standard Model revisited

TL;DR

A detailed renormalization group analysis shows that the electroweak Standard Model does not have a hierarchy problem in its broken phase, and the Higgs boson is naturally light without requiring supersymmetry, impacting early universe inflation.

Contribution

The paper demonstrates that the hierarchy problem is absent in the broken phase of the SM and highlights the role of quadratic cutoff effects in cosmological inflation.

Findings

No hierarchy problem in the broken phase of the SM.

The Higgs boson is naturally light due to self-protection by spontaneous symmetry breaking.

Quadratic cutoff effects influence early universe inflation.

Abstract

A careful renormalization group analysis of the electroweak Standard Model, considered as a low energy effective theory, reveals that there is no hierarchy problem in the broken phase of the SM. In the broken phase a light Higgs turns out to be natural as it appears self-protected and self-tuned by the spontaneous symmetry breaking. It means that the scalar Higgs needs not be protected by any extra symmetry, specifically super symmetry, in order not to be much heavier than the other SM particles, which are protected by gauge- or chiral-symmetry. Thus the existence of quadratic cutoff effects in the SM cannot motivate the need for a super symmetric extensions of the SM, but in contrast plays an important role in triggering the electroweak phase transition at a scale about 10^{17} GeV and in shaping the Higgs potential in the early universe to drive inflation as supported by observation. The impact on the inflation profile of the quadratically enhanced bare Higgs mass term in the unbroken phase is discussed in some detail. My analysis suggests that inflation in the early universe is a direct consequence of the SM Higgs sector with its quadratic enhancement of the bare Higgs mass term