Abstract

First we review Veltman's suggestion to attack the naturalness problem in the Standard model by requiring absence of quadratic divergences and the resulting mass formula. Then we emphasise the influence of Veltman's suggestion in strengthening the belief that supersymmetry is the natural playground for solving the problem of quadratic divergences. Going further, we recall few sporadic suggestions concerning the cancellation of the logarithmic divergences too, which in the framework of supersymmetry has led to the construction of all-loop Finite Theories with the use of the idea of reduction of couplings. Eventually, we concentrate on a specific Finite Unified Theory and its successful predictions for the top and Higgs mass, among others, and the prospects of its final justification in future collider searches.

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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