Fuzzy Mass Relations for the Higgs
Bruno IOCHUM, Daniel KASTLER, Thomas SCH\"UCKER (Marseille)
TL;DR
This paper explores how a non-commutative geometric approach to the standard model constrains the Higgs mass based on the top quark mass, predicting an interval of possible Higgs masses.
Contribution
It demonstrates that the non-commutative standard model imposes a specific mass relation, constraining the Higgs mass within a narrow interval for a given top mass.
Findings
Higgs mass is constrained to an interval for fixed top mass.
The interval length is approximately $m_\tau^2/m_t$.
Provides a geometric perspective on mass relations in the standard model.
Abstract
The non-commutative approach of the standard model produces a relation between the top and the Higgs masses. We show that, for a given top mass, the Higgs mass is constrained to lie in an interval. The length of this interval is of the order of .
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