Properties of compact U(1) gauge theory on the FCC lattice: generation masses, mixing angles, and coupling constants

Key Points

• This research aims to explore the properties of compact U(1) gauge theory on the FCC lattice, focusing on mass ratios and mixing angles.
• Derivation of the muon-to-electron mass ratio using the Eisenstein nome.
• Calculation of weak mixing angle employing z and g^2 variables.
• Analysis of PMNS angles and Cabibbo angle through A_4 subgroup.
• Muon-to-electron mass ratio found to be 206.768 with a precision of 18 ppm.
• Weak mixing angle calculated as 0.23121 with an uncertainty of 38 ppm.
• All three PMNS angles within 0.2 sigma agreement via A_4 subgroup.