Higgsless EW gauge-boson masses from K-K geometry with torsion

TL;DR

This paper proposes a geometric mechanism within a Kaluza-Klein framework with torsion that generates gauge-boson masses without a Higgs field, matching experimental results and offering new theoretical insights.

Contribution

It introduces a novel Higgsless mass generation mechanism using torsion in a specific Kaluza-Klein geometry, aligning with observed gauge-boson spectra.

Findings

Gauge-boson masses match experimental spectrum

Mass generation arises from geometric torsion effects

Mechanism operates without Higgs field

Abstract

In the classical Higgsless $M^4\times S^3\times S^1$ Kaluza-Klein gauge-theory vacuum, torsion-induced loss of the $SU(2)\times U(1)$ left-invariance generates a gauge-boson mass term, in co-existence with the gauge-field kinetic term in the vacuum Hilbert-Einstein action. This is compulsory in the sense that having one of these terms without the other would mean violation of basic theorems on holonomy. The effect could be lost only at the very high massless-EW energy scale, where the ground-state manifold approach for the gauge-theory vacuum would be inapplicable. Created, as they are, from and as part of pure geometry, these gauge-boson masses reproduce precisely the spectum of the well-known experimental result. The apparently exploitable geometric elegance and the ensuing fundamentally geometric origin of mass may provide new theoretical and experimental perspectives around and well above the EW scale.