Fields with continuously distributed mass

TL;DR

This paper explores local field theories with continuously distributed mass, highlighting their realization in higher-dimensional models and potential significant deviations in Higgs boson phenomenology from the Standard Model.

Contribution

It introduces models with continuously distributed mass in local field theories and discusses their phenomenological implications, especially for Higgs boson behavior.

Findings

Higgs phenomenology can significantly differ from the Standard Model.

Models can be realized in higher-dimensional space-times with Poincare invariance.

Potential observable consequences in particle physics experiments.

Abstract

We describe local field theories with continuously distributed mass. Such models can be realized as models in d space-time with Poincare invariance only in four-dimensional space-time. We also discuss some possible phenomenological consequences. Namely, we show that the Higgs boson phenomenology in the SM extension with continuously distributed Higgs boson mass can differ in a drastic way from the SM Higgs boson phenomenology.