Consider the prediction for the W and Z before their discovery, in round numbers m Z =

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Consider the prediction for the W and Z before their discovery, in round numbers mZ = 90 GeV and MW = 80 GeV. If it is sin2θW ≈ 0.23 with an uncertainty of 20%, what is the uncertainty on MW? If we measure MZ/MW with 1% uncertainty, what is the uncertainty on sin2θW?

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