# L19: WEINBERG ANGLE FROM Os MIXING

**Category:** library_prompt | **Kernel:** PHAT v1.27.5 | **Status:** PENDING

## Prompt

WEINBERG ANGLE FROM Os MIXING
Derive the Weinberg angle theta_W from the split of Os into {e-type, f-type} imaginary basis. Show sin^2(theta_W) = |f|^2/(|e|^2+|f|^2) where |e|^2, |f|^2 count the respective basis norms. Compare to PDG sin^2(theta_W) = 0.23122. Assess derivation vs. input status. #SuperGrokTOE #WeinbergAngle #EWmixing