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Published on: April 10, 2012
Theory-Driven Evolution of the Weak Mixing Angle
Jens Erler1, Rodolfo Ferro-Hernández1, Simon Kuberski2
1PRISMA<sup>+</sup> Cluster of Excellence and Institute for Nuclear Physics, <a href="https://ror.org/023b0x485">Johannes Gutenberg-University</a>, 55099 Mainz, Germany.
Abstract:
We present the first purely theoretical calculation of the weak mixing angle in the MS[over ¯] 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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