TY  - JOUR
AU  - Bordes, J.
AU  - Hong-Mo, C.
AU  - Tsun, T. S.
PY  - 2015
DA  - 2015//
TI  - A first test of the framed standard model against experiment
T2  - Int. J. Mod. Phys. A
JO  - International Journal of Modern Physics A
SP  - 1550051
EP  - 34pp
VL  - 30
IS  - 11
PB  - World Scientific Publ Co Pte Ltd
KW  - Higgs boson
KW  - fermion generations
KW  - mixing and neutrino oscillations
KW  - mass hierarchy
KW  - vielbeins
AB  - The framed standard model (FSM) is obtained from the standard model by incorporating, as field variables, the frame vectors (vielbeins) in internal symmetry space. It gives the standard Higgs boson and 3 generations of quarks and leptons as immediate consequences. It gives moreover a fermion mass matrix of the form: m = mT alpha alpha dagger, where alpha is a vector in generation space independent of the fermion species and rotating with changing scale, which has already been shown to lead, generically, to up-down mixing, neutrino oscillations and mass hierarchy. In this paper, pushing the FSM further, one first derives to 1-loop order the RGE for the rotation of alpha, and then applies it to fit mass and mixing data as a first test of the model. With 7 real adjustable parameters, 18 measured quantities are fitted, most (12) to within experimental error or to better than 0.5 percent, and the rest (6) not far off. (A summary of this fit can be found in Table 2 of this paper.) Two notable features, both generic to FSM, not just specific to the fit, are: (i) that a theta-angle of order unity in the instanton term in QCD would translate via rotation into a Kobayashi-Maskawa phase in the CKM matrix of about the observed magnitude (J similar to 10(-5)), (ii) that it would come out correctly that m(u) < m(d), despite the fact that m(t) >> m(b), m(c) >> m(s). Of the 18 quantities fitted, 12 are deemed independent in the usual formulation of the standard model. In fact, the fit gives a total of 17 independent parameters of the standard model, but 5 of these have not been measured by experiment.
SN  - 0217-751x
UR  - http://arxiv.org/abs/1410.8022
UR  - https://doi.org/10.1142/S0217751X15500517
DO  - 10.1142/S0217751X15500517
LA  - English
N1  - WOS:000352992800009
ID  - Bordes_etal2015
ER  -