The Standard Model as a noncommutative geometry: the low energy regime

TL;DR

This paper explains how the Standard Model of particle physics can be formulated within noncommutative geometry, providing insights into its physical foundations and predicting relations among particle masses.

Contribution

It offers a detailed physicist-oriented account of deriving the Standard Model from noncommutative geometry in Minkowski spacetime, highlighting physical ideas and mathematical tools.

Findings

Postdicts main characteristics of the SM within NCG

Predicts Higgs and top masses relation: 1.3 m_top d7 d7 1.73 m_top

Supports the consistency of NCG with known SM features

Abstract

We render a thorough, physicist's account of the formulation of the Standard Model (SM) of particle physics within the framework of noncommutative differential geometry (NCG). We work in Minkowski spacetime rather than in Euclidean space. We lay the stress on the physical ideas both underlying and coming out of the noncommutative derivation of the SM, while we provide the necessary mathematical tools. Postdiction of most of the main characteristics of the SM is shown within the NCG framework. This framework, plus standard renormalization technique at the one-loop level, suggest that the Higgs and top masses should verify 1.3 m_top \lesssim m_H \lesssim 1.73 m_top.