J. J. van der Bij

We describe the non-minimal Standard Model, consisting of minimalistic extensions of the Standard Model, which for all we know is the theory of the universe, able to describe all of the universe from the beginning of time. Extensions discussed are an extra neutrino and a new Higgs model. We introduce the principle of global relativity and discuss how the theory can be largely derived from this principle. One is led to the unification of forces into SU(5) and a form of dark matter. We discuss the limitations of the theory, showing that it is not the theory of everything. However we argue that it is the only part, that is within conceivable reach of physical experiment or astronomical observations. It is argued, that at the Planck scale the universe is effectively three-dimensional.

Comments: In memoriam Prof. M.J.G. Veltman, to appear in Acta Physica Polonica, 24 pages

Veltman, renormalizability, calculability: https://arxiv.org/abs/2104.13569

Giampiero Passarino

Dedicated to the memory of Prof. Veltman, one of the founding fathers of our discipline: his legacy lives on. Many times we have to turn back and follow his footprints to find the right path. After reviewing general aspects of high energy physics where he gave a seminal contribution we will introduce recent developments in the standard model effective field theory, showing how the whole movement from renormalization to predictions plays from Veltman to SMEFT.

Comments: to appear in Acta Physica Polonica, 27 pages

Goldstone boson decays and chiral anomalies: https://arxiv.org/abs/2105.04877

Stefan Pokorski, Kazuki Sakurai

Martinus Veltman was the first to point out the inconsistency of the experimental value for the decay rate of π0→γγ and its calculation by J. Steinberger with the very successful concept of the pion as the (pseudo)Nambu-Goldstone boson of the spontaneously broken global axial symmetry of strong interactions. That inconsistency has been resolved by J. Bell and R. Jackiw in their famous paper on the chiral anomalies. We review the connection between the decay amplitudes of an axion into two gauge bosons in Abelian vector-like and chiral gauge theories. The axion is the Nambu-Goldstone boson of a spontaneously broken axial global symmetry of the theory. Similarly as for the vector-like gauge theory, also in the chiral one the axion decay amplitude is uniquely determined by the anomaly of the current of that global symmetry. Certain subtlety in the calculation of the anomaly in chiral gauge theories is emphasised.

Comments: 13 pages, Contribution to the special volume of Acta Physica Polonica B commemorating Martinus Veltman

Minimalistic musings about the Standard Model: https://arxiv.org/abs/2105.14624

Chris P. Korthals Altes

A tribute to Martinus Veltman 1931-2021

Martinus ("Tini") Veltman 's early contributions to the Standard Model were essential for its succes. After some nostalgic reminiscences, I turn to the Standard Model with a minimalistic attitude, the point of view that beyond the SM there is only the Planck scale. Known since long, the gravitational force can be obtained as the gauge theory of local Poincaré symmetry, called gauge gravity.

This gauge theory of gravity embodies {\it per se} a Palatini formulation.

This causes the potential of non-minimally coupled Higgs inflation to have an intriguing improved large field behaviour. Some of its effects are experimentally accessible or refutable. The question of quantum corrections is discussed.

Comments: submitted to Acta Physica Polonica. Some cosmetic changes and typos corrected

A hidden, heavier resonance of the Higgs field: https://arxiv.org/abs/2106.06543

M. Consoli

In Veltman's original view, the Standard Model with a large Higgs particle mass of about 1 TeV was the natural completion of non-renormalizable Glashow model. This mass was thus a second threshold for weak interactions, as the W mass was for the non-renormalizable 4-fermion V-A theory. Today, after the observation of the narrow scalar resonance at 125 GeV, Veltman's large-mass idea seems to be ruled out. Yet, this is not necessarily true. Depending on the description of SSB in Φ4 theory, and by combining analytic calculations and lattice simulations, besides the known particle at 125 GeV, a new resonance of the Higgs field may also show up around 700 GeV. The peculiarity, though, is that this heavier state would couple to longitudinal vector bosons with the same typical strength of the low-mass state and thus represent a relatively narrow resonance. In this way, such hypothetical new resonance would naturally fit with some excess of 4-lepton events observed by ATLAS around 680 GeV. Analogous data from CMS are needed to confirm or disprove this interpretation. Implications of a two-mass structure for radiative corrections are also discussed.

Comments: Contribution to Veltman Memorial Volume, to appear in Acta Physica Polonica B, 26 pages, 1 Table, 6 figures