Mass relations in noncommutative geometry revisited

TL;DR

This paper revisits mass relations in noncommutative geometry by relaxing previous constraints, resulting in the removal of certain bounds on Higgs and W boson masses, thus broadening the theoretical landscape.

Contribution

It generalizes the noncommutative coupling constant concept by allowing non-commuting elements, impacting mass bounds in particle physics models.

Findings

Lower bound for Higgs mass vanishes

Upper bound for W mass vanishes

Broader mass relation framework in noncommutative geometry

Abstract

We generalize the notion of the 'noncommutative coupling constant' given by Kastler and Sch"ucker by dropping the constraint that it commute with the Dirac-operator. This leads essentially to the vanishing of the lower bound for the Higgsmass and of the upper bound for the W-mass.