Fuzzy Mass Relations in the Standard Model

TL;DR

This paper analyzes Connes' geometric approach to the standard model, deriving mass and coupling relations that constrain the Higgs mass interval and demonstrate stability under renormalization flow.

Contribution

It provides a systematic analysis of mass and coupling relations in Connes' non-commutative geometric standard model, highlighting Higgs mass constraints.

Findings

Higgs mass is constrained within a specific interval for a given top mass.

The mass relations are stable under renormalization flow.

The approach offers a geometric perspective on standard model parameters.

Abstract

Recently Connes has proposed a new geometric version of the standard model including a non-commutative charge conjugation. We present a systematic analysis of the relations among masses and coupling constants in this approach. In particular, for a given top mass, the Higgs mass is constrained to lie in an interval. Therefore this constraint is locally stable under renormalization flow.