The 34th International Symposium on Lattice Field Theory (Lattice 2016)

24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

The leading order hadronic contribution of the anomalous magnetic moment of the muon with O$(a)$-improved Wilson fermions with Pade approximants from fits and time moments

26 Jul 2016, 14:40
20m
Building B2a Room 2077 (Highfield Campus, University of Southampton)

Speaker

Hanno Horch (University of Mainz)

Description

We present results of our lattice QCD study of the hadronic vacuum polarization (HVP) function with O$(a)$-improved $N_{\rm f}=2$ Wilson fermions with twisted boundary conditions. We discuss the extraction of the leading order hadronic contribution to the anomalous magnetic moment of the muon $\left(a_\mu^{\mathrm{HLO}}\right)$ via the hybrid method involving two steps: (i) To describe the low $Q^2$ range, we construct Pade approximants obtained either from correlated fits to the HVP or from time moments, which we obtain from derivatives of the current-current correlator.(ii) For the large $Q^2$ range we use a numerical integration. We estimate systematic uncertainties of the continuum and chiral extrapolations with the extended frequentist method. Preliminary results for $u,d,s$ and $c$ valence quarks at the physical point for $a_\mu^{\mathrm{HLO}}$ will be presented.

Primary author

Hanno Horch (University of Mainz)

Co-authors

Dr Andreas Nyffeler (University of Mainz) Dr Benjamin Jaeger (Swansea University) Dr Gregorio Herdoiza (Universidad Autónoma de Madrid) Prof. Hartmut Wittig (University of Mainz)

 Slides