TY  - JOUR
A1  - Stephan, Christoph A.
T1  - New scalar fields in noncommutative geometry
N2  - In this publication we present an extension of the standard model within the framework of Connes' noncommutative geometry. The model presented here is based on a minimal spectral triple which contains the standard model particles, new vectorlike fermions, and a new U(1) gauge subgroup. Additionally a new complex scalar field appears that couples to the right-handed neutrino, the new fermions, and the standard Higgs particle. The bosonic part of the action is given by the spectral action which also determines relations among the gauge couplings, the quartic scalar couplings, and the Yukawa couplings at a cutoff energy of similar to 10(17) GeV. We investigate the renormalization group flow of these relations. The low energy behavior allows to constrain the Higgs mass, the mass of the new scalar, and the mixing between these two scalar fields.
Y1  - 2009
UR  - http://prd.aps.org/
U6  - https://doi.org/10.1103/Physrevd.79.065013
SN  - 1550-7998
ER  - 
TY  - JOUR
A1  - Jureit, Jan-Hendrik
A1  - Stephan, Christoph A.
T1  - On a classification of irreducible almost-commutative geometries V
N2  - We extend a classification of irreducible almost-commutative geometries, whose spectral action is dynamically nondegenerate, to internal algebras that have six simple summands. We find essentially four particle models: an extension of the standard model by a new species of fermions with vectorlike coupling to the gauge group and gauge invariant masses, two versions of the electrostrong model, and a variety of the electrostrong model with Higgs mechanism.
Y1  - 2009
UR  - http://jmp.aip.org/
U6  - https://doi.org/10.1063/1.3167287
SN  - 0022-2488
ER  -