Study of the hadronic contributions to the running of the QED coupling and the weak mixing angle

Anthony Francis, Vera Gülpers, Gregorio Herdoíza, Hanno Horch, Benjamin Jäger, Harvey B. Meyer, Hartmut Wittig

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Abstract

The electromagnetic coupling receives significant contributions to its running from non-perturbative QCD effects. We present an update of a lattice QCD study of the Adler function and of its application to the determination of the running of the QED coupling. We perform a high-statistics computation with two flavours of O$(a)$ improved Wilson fermions in a large range of momentum transfer $Q^2$. The running of the electromagnetic coupling, including contributions from $u$, $d$, $s$ and $c$ valence quarks, is compared to phenomenological determinations at intermediate $Q^2$ values. An extension of this study to the determination of the hadronic contributions to the running of the weak mixing angle is also described.
Original languageEnglish
JournalP o S - Proceedings of Science
ISSN1824-8039
Publication statusPublished - 15. Nov 2015

Bibliographical note

7 pages, 5 figures. Proceedings Contribution to the 33rd International Symposium on Lattice Field Theory (Lattice 2015), 14-18 July 2015, Kobe, Japan

Keywords

  • hep-lat

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