A First Test of the Framed Standard Model against Experiment

Abstract

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: $m=m_T\alpha {\alpha }^{†}$, 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 in the text.) 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 ($J\sim 10^{-5}$), (ii) that it would come out correctly that $m_u<m_d$, despite the fact that $m_t\gg m_b,m_c\gg m_s$. 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.

arXiv comment45 pages, 7 figures

References in corpus (10)

• The Determination of alpha_s from Tau Decays Revisited
• Features of Quark and Lepton Mixing from Differential Geometry of Curves on Surfaces
• New Angle on the Strong CP and Chiral Symmetry Problems from a Rotating Mass Matrix
• A Solution of the Strong CP Problem Transforming the theta-angle to the KM CP-violating Phase
• A Model Behind the Standard Model
• Mass Hierarchy, Mixing, CP-Violation and Higgs Decay---or Why Rotation is Good for Us
• Developing the Framed Standard Model
• Exploring Framed Gauge Theory as Basis for Physical Models
• Possible Anomalies in Higgs Decay: Charm Suppression and Flavour-Violation
• A Comprehensive Mechanism Reproducing the Mass and Mixing Parameters of Quarks and Leptons

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• Accommodating three low-scale anomalies (g-2, Lamb shift, and Atomki) in the framed standard model
• A Closer Study of the Framed Standard Model Yielding Testable New Physics plus a Hidden Sector with Dark Matter Candidates
• The $Z$ boson in the Framed Standard Model
• Generation patterns, modified $\gamma -Z$ mixing, and hidden sector with dark matter candidates as framed standard model results
• Unified FSM treatment of CP physics extended to hidden sector giving (i) ${\delta }_{CP}$ for leptons as prediction, (ii) new hints on the material content of the universe
• Resolving an ambiguity of Higgs couplings in the FSM, greatly improving thereby the model's predictive range and prospects