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Theory Driven Evolution of the Weak Mixing Angle

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arxiv 2406.16691 v1 pith:BT6CBGQX submitted 2024-06-24 hep-ph hep-lat

classification hep-phhep-lat
keywords anglemixingresultstheoryweakanomalousbosoncalculation
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the first purely theoretical calculation of the weak mixing angle in the MS scheme at low energies by combining results from lattice QCD with perturbation theory. We discuss its correlation with the hadronic contribution to the anomalous magnetic moment of the muon and to the energy dependence of the electromagnetic coupling. We also compare the results with calculations using cross-section data as input. Implications for the Standard Model prediction of the mass of the W boson are also discussed.

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  1. On the extraction of $\alpha_\textit{em}(m_Z^2)$ at Tera-$Z$

    hep-ph 2025-01 conditional novelty 7.0 of 10

    Forward-region Bhabha ratios at Tera-Z could extract alpha_em(m_Z^2) with a projected statistical sensitivity of about 6e-6, below the current bottleneck.

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