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# 36th Annual International Symposium on Lattice Field Theory

22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

## The leading hadronic contribution to $\sin^2\theta_W$ running and covariant coordinate-space methods

Jul 27, 2018, 3:40 PM
20m
106 (Kellogg Hotel and Conference Center)

### 106

#### Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824

### Speaker

Dr Marco Cè (Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz)

### Description

We present a preliminary study of the leading hadronic contribution to the running of the electroweak mixing angle $\theta_W$. The running is extracted from the correlation function of the electromagnetic current with the (vector part of the) weak neutral current using the Lorentz-covariant coordinate-space method recently introduced by Meyer. Both connected and disconnected contributions have been computed on $N_f=2+1$ non-perturbatively $\mathcal{O}(a)$-improved Wilson fermions configurations. Similar covariant coordinate-space methods can be used to compute the leading hadronic contribution to the anomalous magnetic moment $g-2$ of the muon and to the running of the QED coupling $\alpha$.

### Primary author

Dr Marco Cè (Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz)

### Co-authors

Dr Antoine Gerardin (Institute for Nuclear Physics, University of Mainz) Prof. Harvey B. Meyer (Johannes Gutenberg University Mainz) Dr Konstantin Ottnad (University of Mainz)

 Slides