CMS of LHC (CERN) has just reported new Electroweak precision measurements {(sin(θ), lepton/eff)^2 = 0.23101±0.00052} on November 14, 2017, see https://arxiv.org/abs/1711.05288 .
In Standard Model, Weinberg angle is a function of two more fundamental physical constants: weak isospin g and weak hypercharge g’, and they are all ‘free parameters’ (not derived theoretically).
On the other hand, the Weinberg angle was calculated theoretically in G-theory, see http://prebabel.blogspot.com/2011/10/theoretical-calculation-of-cabibbo-and.html or page 36 of ‘Super Unified Theory”.
In fact, the Weinberg angle (θW ) is precisely defined by the equation (10), page 37 of ‘Super Unified Theory”, as follows.
Sin (Δ θ1) = Sin^2 (Δ θ2) = (Sin^2 Δ θ3) ^2 = (Sin^3 Δ θ4) ^3
= (Sin^6 Δ θ5) ^6 = (Sin^64 Δ θ6) ^64 ……. Equation (10)
Sin (Δ θ1) = Sin {A (1) – 3 (A (0)/24}
= Sin {Cabibbo angle (θc)) – 3 (A (0)/24} = 0.23067
Sin^2 (Δ θ2 = 28.75°; Weinberg angle (θW)) = 0.2313502
Δ θ2 = 28.75° (Weinberg angle (θW ))
{Sin (Δ θ1) + Sin^2 (Δ θ2)}/2 = 0.2310
All Δ θn are mixing angles.