Mass Generation in the Standard Model without Dynamical Higgs Field

TL;DR

This paper proposes a model extending the Standard Model with local conformal symmetry, generating particle masses without the need for a dynamical Higgs field or spontaneous symmetry breaking.

Contribution

It introduces a conformally invariant extension of the Standard Model that naturally eliminates the Higgs field while still producing correct particle masses.

Findings

Masses of vector bosons, leptons, and quarks are generated as in the conventional model.

The Higgs doublet components are eliminated via gauge fixing.

Mass formulas remain unchanged from the standard approach.

Abstract

We call attention to the fact that the gauge symmetry $SU(3)\times SU(2)_{_L}\times U(1)$ of the Standard Model can be easily and naturally extended by the local conformal symmetry connected with the possibility of choosing the local length scale. Restricting the admissible interactions to the lowest order conformal invariant interactions one gets the unique form of total lagrangian. It contains all Standard Model fields and gravitational interaction. Using the unitary and the conformal gauge conditions we can eliminate all four real components of the Higgs doublet in this model. However the masses of vector mesons, leptons and quarks are automatically generated and are given by the same formulas as in the conventional Standard Model. In this manner one gets the mass generation without the mechanism of spontaneous symmetry breaking and without the remaining real dynamical Higgs field.