Broken Scale Invariance in the Standard Model

TL;DR

This paper explores extending the Standard Model with Weyl's scale invariance, leading to gravity, a new vector particle, and spontaneous symmetry breaking that generates masses and links to the Planck scale.

Contribution

It introduces Weyl's scale invariance into the Standard Model, resulting in gravity, a new vector particle, and a novel mechanism for mass generation and symmetry breaking.

Findings

Weyl's scale invariance leads to gravity and a new vector particle.

Spontaneous symmetry breaking occurs at the Planck scale.

Neutrino masses are linked to scale invariance breaking.

Abstract

We introduce Weyl's scale invariance as an additional local symmetry in the standard model of electroweak interactions. An inevitable consequence is the introduction of general relativity coupled to scalar fields a la Dirac and an additional vector particle we call the Weylon. We show that once Weyl's scale invariance is broken, the phenomenon (a) generates Newton's gravitational constant G_N and (b) triggers spontaneous symmetry breaking in the normal manner resulting in masses for the conventional fermions and bosons. The scale at which Weyl's scale symmetry breaks is of order Planck mass. If right-handed neutrinos are also introduced, their absence at present energy scales is attributed to their mass which is tied to the scale where scale invariance breaks.