40 research outputs found
The Standard Model a la Connes-Lott
The relations among coupling constants and masses in the standard model \`a
la Connes-Lott with general scalar product are computed in detail. We find a
relation between the top and the Higgs masses. For it
yields . The Connes-Lott theory privileges the masses
and .Comment: 20 pages, LaTe
Fuzzy Mass Relations in the Standard Model
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.Comment: 14 pages LaTeX, one figure postscrip
Fuzzy Mass Relations for the Higgs
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 .Comment: 26 pages, LaTe
A survey of spectral models of gravity coupled to matter
This is a survey of the historical development of the Spectral Standard Model
and beyond, starting with the ground breaking paper of Alain Connes in 1988
where he observed that there is a link between Higgs fields and finite
noncommutative spaces. We present the important contributions that helped in
the search and identification of the noncommutative space that characterizes
the fine structure of space-time. The nature and properties of the
noncommutative space are arrived at by independent routes and show the
uniqueness of the Spectral Standard Model at low energies and the Pati-Salam
unification model at high energies.Comment: An appendix is added to include scalar potential analysis for a
Pati-Salam model. 58 Page