Precision Calculation of Top Quark and Higgs Boson Masses Under Fractal Higgs Mechanism
changzheng zhou, ZIQING zhou · 2025
This paper constructs an improved Higgs mechanism based on fractal spacetime. By introducing Hutchinson fractal measures and fractional derivatives, we rigorously derive the mass formulas for the top quark and Higgs boson. At the fractal dimension dH = 3.92, the theory predicts mt = 173.2 ± 0.3GeV and mH = 125.1 ±0.2GeV, in excellent agreement with experimental values (experimental data: mt = 173.0 ± 0.4GeV [3], mH = 125.2 ± 0.2GeV [3]). A fractal dimension running equation is established, and cosmological parameters are constrained using CMB observational data, verifying theoretical self-consistency in the four-dimensional limit.