Abstract

I am considering Veltman's "The Infrared - Ultraviolet Connection" addressing the issue of quadratic divergences and the related huge radiative correction predicted by the electroweak Standard Model (SM) in the relationship between the bare and the renormalized theory, commonly called "the hierarchy problem" which usually is claimed that this has to be cured. After the discovery of the Higgs particle at CERN, which essentially completed the SM, an amazing interrelation of the leading interaction strengths of the gauge bosons, the top-quark and the Higgs boson showed up amounting that the SM allows for a perturbative extrapolation of the running couplings up to the Planck scale. The central question concerns the stability of the electroweak vacuum, which requires that the running Higgs self-coupling stays positive. Although several evaluations seem to favor the meta-stability within the experimental and theoretical parameter-uncertainties, one should not exclude the possibility that other experiments and improved matching conditions will be able to establish the absolute stability of the SM vacuum in the future. I will discuss the stable vacuum scenario and its impact on early cosmology, revealing the Higgs boson as the inflaton. It turns out that the Standard Model's presumed "hierarchy problem" and similarly the "cosmological constant problem" resolve themselves when we understand the SM as a low energy effective tail that is emergent from a cutoff-medium at the Planck scale. "The Infrared - Ultraviolet Connection" conveyed by the Higgs boson mass renormalization appears in a new light when the energy dependence of the SM couplings is taken into account. The bare Higgs boson mass square then changes sign below the Planck scale where it is activating the Higgs mechanism.

Highlights

  • Martinus Justinus Godefriedus Veltman passed away on January 4, 2021

  • This memorial volume of Acta Physica Polonica B is a special tribute to the Nobel Laureate Martinus Veltman

  • The decision to prepare this book came up spontaneously, approximately one month later along with the idea to publish it on the ninetieth anniversary of Veltman’s birth on June 27. With this very short deadline we addressed former students, collaborators, friends and acquaintances of Martinus Veltman asking for an article for this volume, and for suggestions of other contributors

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Summary

Introduction

Martinus Justinus Godefriedus Veltman passed away on January 4, 2021. The decision to prepare this book came up spontaneously, approximately one month later along with the idea to publish it on the ninetieth anniversary of Veltman’s birth on June 27. This memorial volume of Acta Physica Polonica B is a special tribute to the Nobel Laureate Martinus Veltman. Veltman was a flesh and blood theorist, his contributions to particle physics were closely related to experiment as they allowed for precise tests of theory predictions.

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