Higgs-free symmetry breaking mechanism from the complex dynamics of Levy flows

Using the statistical model of Levy flows, we derive the following Higgs-free formula for gauge boson masses: \[ m_{W(Z)} =\frac{G_F^{-\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 4}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$4$}} }{2\sqrt {2\pi } }\sqrt {\frac{\gamma \Gamma _{W,(Z)} }{\alpha _{self,W(Z)} }} \] where $\gamma$ denotes the damping parameter associated with the dynamics of the flow, $G_F $ is the Fermi constant and $\Gamma _{W(Z)} $ represents the decay width of the $W(Z)$ boson, respectively. The self-interaction strength $\alpha _{self,W(Z)} $ takes on two possible values, $\alpha _{self} =\alpha _2 $ for $Z^0$and $\alpha _{self} =\alpha _2 +\alpha _{EM} $ for $W^+,W^-$. Here, $\alpha _2 $ is the weak isospin strength and $\alpha _{EM} $ is the fine structure constant. From this formula, we predict \[ m_{W^\pm } =78.4GeV, \quad m_{Z^0} =91.7GeV \] These values are in good agreement with experimental data ($m_W^{\exp } =80.46GeV$,$m_Z^{\exp } =91.19GeV)$.