The hierarchy problem of the electroweak Standard Model revisited

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

15 pages, extended version, addendum on Higgs inflation and finite temperature effects, references added

References in corpus (3)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Higgs mass naturalness and scale invariance in the UV
• On the Veltman Condition, the Hierarchy Problem and High-Scale Supersymmetry

Cited by in corpus (16)

• Cosmological constant and vacuum energy: old and new ideas
• Predictions on mass of Higgs portal scalar dark matter from Higgs inflation and flat potential
• Minimal Higgs inflation
• On the Veltman Condition, the Hierarchy Problem and High-Scale Supersymmetry
• Eternal Higgs inflation and cosmological constant problem
• Evidence of the Big Fix
• Is the Standard Model saved asymptotically by conformal symmetry?
• Models of LHC Diphoton Excesses Valid up to the Planck scale
• Model-Independent Constraints on Non-Unitary Neutrino Mixing from High-Precision Long-Baseline Experiments
• Comments on the Hierarchy Problem in Effective Theories
• Vanishing Higgs Potential in Minimal Dark Matter Models
• The hierarchy problem and the cosmological constant problem in the Standard Model
• About the EW contribution to the relation between pole and MS-masses of the top-quark in the Standard Model
• Is Higgsium a possibility in 2HDMs?
• $Z_2$ Massive Axions, Domain Walls and Inflation
• Masses of Heavy Flavour mesons in a space with one finite extra-dimension