Almost-Commutative Geometries Beyond the Standard Model III: Vector Doublets

TL;DR

This paper extends the almost-commutative geometric formulation of the standard model by adding vector doublets, potentially introducing dark matter candidates and altering unification requirements.

Contribution

It introduces a new extension of the standard model with vector doublets within the almost-commutative geometry framework, avoiding the need for grand unification.

Findings

Enlarged particle content with vector doublets

Potential dark matter candidate in the hundred TeV range

No longer requires grand unification via spectral action

Abstract

We will present a new extension of the standard model of particle physics in its almostcommutative formulation. This extension has as its basis the algebra of the standard model with four summands [11], and enlarges only the particle content by an arbitrary number of generations of left-right symmetric doublets which couple vectorially to the U(1)_YxSU(2)_w subgroup of the standard model. As in the model presented in [8], which introduced particles with a new colour, grand unification is no longer required by the spectral action. The new model may also possess a candidate for dark matter in the hundred TeV mass range with neutrino-like cross section.