Standard Model with Cosmologically Broken Quantum Scale Invariance

TL;DR

This paper proposes a scale-invariant extension of the Standard Model that is broken cosmologically, explaining particle physics and cosmological observations without hierarchy problems or scalar particles like the Higgs.

Contribution

It introduces a classically and quantum mechanically scale-invariant Standard Model extension with cosmological symmetry breaking, predicting a finite cosmological constant and avoiding hierarchy issues.

Findings

Model fits particle and cosmological data

Predicts a finite, calculable cosmological constant

Eliminates hierarchy problem by removing scalar particles

Abstract

We argue that scale invariance is not anomalous in quantum field theory, provided it is broken cosmologically. We consider a locally scale invariant extension of the Standard Model of particle physics and argue that it fits both the particle and cosmological observations. The model is scale invariant both classically and quantum mechanically. The scale invariance is broken cosmologically producing all the dimensionful parameters. The cosmological constant or dark energy is a prediction of the theory and can be calculated systematically order by order in perturbation theory. It is expected to be finite at all orders. The model does not suffer from the hierarchy problem due to absence of scalar particles, including the Higgs, from the physical spectrum.